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INTERNATIONAL TELECOMMUNICATION UNION
CCITT E.500
THE INTERNATIONAL
TELEGRAPH AND TELEPHONE
CONSULTATIVE COMMITTEE
(11/1988)
SERIES E: OVERALL NETWORK OPERATION,
TELEPHONE SERVICE, SERVICE OPERATION AND
HUMAN FACTORS
Traffic engineering – Measurement and recording of traffic
TRAFFIC INTENSITY MEASUREMENT
PRINCIPLES
Reedition of CCITT Recommendation E.500 published in
the Blue Book, Fascicle II.3 (1988)
NOTES
1 CCITT Recommendation E.500 was published in Fascicle II.3 of the Blue Book. This file is an extract from the
Blue Book. While the presentation and layout of the text might be slightly different from the Blue Book version, the
contents of the file are identical to the Blue Book version and copyright conditions remain unchanged (see below).
2 In this Recommendation, the expression “Administration” is used for conciseness to indicate both a
telecommunication administration and a recognized operating agency.
© ITU 1988, 2007
All rights reserved. No part of this publication may be reproduced, by any means whatsoever, without the prior written
permission of the ITU.
Fascicle II.3 – Rec. E.500 1
Recommendation E.500
TRAFFIC INTENSITY MEASUREMENT PRINCIPLES
1 Introduction
1.1 Traffic measurements provide the data base from which the planning, operation, management and, in some
cases, accounting for transit considerations of the telephone network are carried out. Different applications may exist for
the same traffic measurement.
1.2 This Recommendation gives the principles for measuring carried traffic and bids on circuit groups and
exchanges. The number of bids and preferably also carried traffic intensity should also be determined by individual
relations (destinations). Data so obtained are applied both for operation and planning. Recommendation E.501 gives
methods for estimating offered traffic from carried traffic measurements. Recommendation E.502 describes exchange
requirements for traffic measurements both in national and international exchanges. Recommendation E.525 describes
the traffic data analysis. Recommendation E.506 gives methods for forecasting future traffic requirements. The
remainder of the E.500 Series of Recommendations describes how to utilize this data base in the operation and planning
of telephone networks.
The measurements required for network management as described in the E.410 Series are generally similar
to those described in this Recommendation. They will usually require a variable and shorter reporting interval.
2 Definitions
A measurement of the amount of traffic carried is the average Erlang value during a certain period of
time (e.g. 15 min., 1 hour).
A measurement of the number of bids is a count of this entity during a certain period of time.
Measurements are taken continuously during the day or with exclusion of known low traffic periods. The
set of days at which measurement has been taken is called the measurement days.
In the yearly continuous measurement the measurement days are post-selected from a base period with a
length of the whole year. The post-selected days include the peak intensity values measured during the base period.
In the yearly non-continuous measurement the measurement days are scheduled (pre-selected) from a
base period of a few months. The pre-selected days include the high load days of expectation or of earlier
observations.
A traffic profile is defined to be stable when the individual daily traffic profiles differ only little in shape
and traffic volume between each other.
A traffic profile is defined to be unstable when the individual daily traffic profiles differ in shape or traffic
volume between each other.
3 Overview
Circuit group dimensioning is based on a congestion objective, on the traffic intensity values at high load
time and on the forecast value of intensity until the next augmentation of circuits. Intensity is measured during a
daily busy hour and averaged over a number of days, to avoid exceptional values.
If traffic measurements are taken every day of the year (yearly continuous measurements), the required
averages can be calculated directly as described in § 4. If traffic measurements are taken only during a limited
number of days in the year (yearly non-continuous measurements), the equivalent traffic loads may be estimated
using the procedures given in § 5.
2 Fascicle II.3 – Rec. E.500
The busy hour concept is an important aspect of teletraffic engineering and may be applied in a number of
ways. In the E.500 Series of Recommendations the busy hour traffic used is an average of several days with, in some
cases, an allowance for day to day variations (Recommendation E.521).
Within the busy hour, traffic is considered to be stationary and thus the recorded intensity is the mean value
during the busy hour.
The recommended standard method of calculating the daily average requires continuously measuring all
quarter hours for all days concerned and selecting the busiest hour in the average profile for all days. This method is
called the Time-Consistent Busy Hour (TCBH) and is described in detail in § 6. This method is most valuable in
situations of stable traffic profiles. The daily continuous measurements provide the data necessary for confirming
profile stability.
Another method of arriving at the representative average busy hour also involves continuously measuring all
quarter hours, but only the busiest hour of each day is retained for averaging. This method is called the Average
Daily Peak Hour (ADPH) and is described in detail in § 6 together with the relation of ADPH results to TCBH
results.
The advantages of ADPH are that it requires less data storage and manipulation than TCBH and that it gives
a more representative value in the situation of unstable traffic profiles.
In some situations Administrations do not measure traffic continuously over the day, but only for the hour or
few hours expected to be busiest. This method is called the Fixed Daily Measurement Period (FDMP) or Fixed Daily
Measurement Hour (FDMH) and is described in detail in § 7 together with the relation of FDMP results to
TCBH results.
The advantage of FDMP is that it requires less measurement resources than TCBH or ADPH. The
disadvantage is that in individual situations the difference between FDMP and TCBH results may vary widely.
In some network situations significant savings can be made by multihour dimensioning (e.g. cluster
engineering, time zone differences). This requires daily continuous measurements.
4 Yearly continuous measurements
Traffic statistics should be measured for the significant period of each day of the whole year. The
significant period may in principle be 24 hours of the day.
The measurements for computing normal traffic load should be the 30 highest days in a fixed 12-month
period. Normally these will be working days, but in some cases separate weekend or tariff-related period
measurements should be examined so that Administrations can agree bilaterally on appropriate measures to maintain
a reasonable grade of service (GOS) for weekends and tariff-related periods. Recurring exceptional days (e.g.
Christmas, Mother's Day, etc.) should be excluded for network dimensioning purposes although the data should be
collected for network management purposes (Recommendation E.410). This method gives traffic information of
relatively high accuracy and is suitable for circuits groups operated automatically or semiautomatically.
4.1 Normal and high load levels
Teletraffic performance objectives and dimensioning practices generally set objectives for two sets of
traffic load conditions.
A normal traffic load can be considered the typical operating condition of a network for which subscribers
service expectations should be met.
A high traffic load can be considered a less frequently encountered operating condition of a network for
which normal subscriber expectations would not be met but for which a reduced level of performance should be
achieved to prevent excessive repeat calling and spread of network congestion.
Fascicle II.3 – Rec. E.500 3
In order to estimate normal and high load levels, offered traffic intensity values should, where necessary, be
estimated from daily carried traffic measurements. Estimation procedures are presented in Recommendation E.501.
Normal and high loads are defined in Table 1/E.500.
TABLE 1/E.500
5 Yearly non-continuous measurements
5.1 Introduction
This method consists in taking measurements on a limited sample of days in each year. Limited sample
measurements will normally be taken on working days, but Administrations may agree bilaterally to measure
weekend or reduced tariff periods separately.
Any Administration proposing to use a yearly non-continuous measurement procedure is advised to confer
with other end Administrations to ensure that the maximum information is available to assist in the choice of
measurement days. For example, if the other end Administration has continuous measurement capability it may be
possible to identify busy seasons or consistent low-traffic days.
Table 2/E.500 shows the results of a study carried out on circuit groups within a large metropolitan
network [1]. The errors shown are the under-estimates resulting if average busy hour carried traffic intensity is
measured over a pre-defined two-week period of the year, rather than the actual busiest two-week period. (The pre-
defined period was, in fact, the peak period of the preceding year.)
The error averages 7.6% more or less, depending on circuit group size. Had an Administration wished to
estimate the true peak two-week intensity with 90% confidence, starting with the pre-defined two-week
measurements, the latter would have had to be increased by amounts ranging from about 14% for large circuit
groups, up to about 31% for small ones. (The magnitude of these corrections indicates how inadequate a two-week
sample can be as a basis for network planning.)
Circuit groups
Parameter Normal load High load
Carried traffic intensity Mean of the 30 highest working days during
a 12-month period.
Mean of the five highest days in the same
period as normal load.
Number of bids Mean of the same 30 days on which the
offered traffic intensities are highest.
Mean of same five days on which the
offered traffic intensities are the highest.
Exchanges
Parameter Normal load High load
Carried traffic intensity Mean of the ten highest days during a
12-month period.
Mean of the five highest days in the same
period as normal load.
Number of bids Mean of the same ten highest days (not
necessarily the same as the highest offered
traffic days) during a 12-month period.
Mean of the five highest days (not
necessarily the same as the highest offered
traffic days) in the same period as normal
load.
4 Fascicle II.3 – Rec. E.500
TABLE 2/E.500
Weighted mean error and the upper limit of the intensity error class
for a cumulative proportion of circuit groups, categorized
according to traffic intensity
5.2 Estimation method
An approximate statistical method for estimating normal and high load levels from limited sample
measurements is provided below.
5.2.1 Principle of estimation method
Measurements are taken on a limited sample of days, and the mean (M) and standard deviation (S ) of the
daily busy hour traffic loads are calculated. Normal and high load level estimates (L) are given by:
L = M + k · S
different values of the factor k being used for normal and high load levels.
( )
2/1
n
1i
2
i M–X
1–n
1
S








= ∑=
where
Xi is the time-consistent busy hour traffic measured on the ith day,
∑
=
=
n
i
iX
n
M
1
1
is the sample mean, and
n is the number of measurement days.
If the measurement period is less than 30 days then the estimate will not be very reliable. In this case
Administrations should, if possible, carry out special measurement studies to determine typical values of the standard
deviation (e.g. as a function of the sample mean).
5.2.2 Base period for measurements
It is important to determine the "base period" since the length of this period influences the values assigned
to the multiplication factors k.
The base period is the set of valid days in each year from which measurement days are preselected. This
period should include all days which are potential candidates for being among the 30 highest days (but excluding
recurring exceptional days – see § 4).
The base period may be restricted to a busy season (which need not necessarily comprise a set of
consecutive weeks) provided that the traffic is known to be consistently higher during this period than during the
remainder of the year.
Total Low
< 10 Erl
Medium
10-100 Erl
High
> 100 Erl
Circuits groups
Weighted mean error of the
intensity value
Cumulative proportion of
circuit groups
50%
80%
90%
95%
98%
2728
7.6%
7.9%
16.9%
23.9%
31.9%
41.9%
1056
13.7%
12.9%
22.9%
30.9%
37.9%
47.9%
1564
7.8%
6.9%
17.9%
23.9%
34.9%
40.9%
110
5.2%
3.9%
7.9%
13.9%
17.9%
26.9%
Fascicle II.3 – Rec. E.500 5
The base period may be the whole year, but Administrations may also decide to exclude known low-traffic
days.
5.2.3 Selection of measurement days
Measurement days should be distributed reasonably evenly throughout the base period. If the base period
extends over the whole year then the measurement sample should include some days from the busiest part of the year,
if these are known. The limited sample should comprise at least 30 days to ensure reliable estimates. If this is not
possible, then a minimum of 10 measurement days may be used. In this case the reliability of the estimate is poor.
5.2.4 Multiplication factors
Multiplication factors k for 5-day, 10-day, and 30-day load levels are given by the curves in
Figure 1/E.500, as a function of the number of days in the base period. These factors are derived from tables of order
statistics from the normal distribution [2].
When the base period extends over the whole year these factors may not always be reliable because of the
effects of differing seasonal patterns. Individual Administrations may then prefer to use different values for the
factors, if they have obtained more precise information from special measurement studies.
FIGURE 1/E.500
Multiplication factors for estimating mean
of 5, 10 or 30 highest days from noncontinuous measurements
5.2.5 Examples
The following data illustrate the application of this procedure to the estimation of normal and high load
levels from non-continuous measurements on a circuit group over a 1-year period.
After excluding holidays and other known low traffic periods the base period which is available for
measurement purposes is determined to be 220 days. The k -factors to be used are therefore (from Figure 1/E.500):
Normal (30-day) load level: k = 1.6
High ( 5-day) load level: k = 2.3
6 Fascicle II.3 – Rec. E.500
Measurements are taken on 50 days within the base period. The daily measured busy-hour traffic values, in
Erlangs, are as follows:
The sample mean and standard deviation are:
M = 20.11
S = 3.37
The normal and high load level estimates are then calculated from L = M + k · S to give:
Normal load = 25.5 Erlangs
High load = 27.9 Erlangs
5.2.6 High to normal traffic ratios
In some circumstances, actual values of high day loads are not available. In such cases, various
Administrations use standard ratios of high to normal load for forecasting for design or planning purposes.
For example, as a general order of magnitude, the following ratios of high to normal load may be used as a
guide for a healthy network:
Parameter Circuit groups Exchanges
Offered traffic intensity 1.2 1.1
Number of call attempts 1.4 1.2
6 Daily continuous measurements
6.1 Measurement
It is recommended that Administrations take traffic measurements continuously over the day throughout the
measurement period.
Depending on the application, a busy hour value for dimensioning should be calculated as the peak value of
the mean day profile or the average of daily peak values.
6.2 Time-consistent busy hour (TCBH)-intensity (post-selected)
For a number of days, carried traffic values for each quarter hour for each day are recorded. The values for
the same quarter hour each day are averaged.
The four consecutive quarter-hours in this average day which together give the largest sum of observed
values form the TCBH with its TCBH-intensity. This is sometimes referred to as post-selected TCBH.
In the case where a stable traffic profile exists, the TCBH-intensity is used as a base method for
dimensioning; if measurement methods yielding systematically lower or higher intensity values than the TCB-method
are used, adjustments to the calculations are needed.
6.3 Average of the daily peak hours traffic, defined on quarter hour or on full hour basis
To find the average of daily peak quarterly defined hour (ADPQH) intensity, the traffic intensity is
measured continuously over a day in quarter-hour periods. The intensity values are processed daily to find out the
four consecutive quarter hours with the highest intensity value sum. Only this daily peak hour traffic intensity value
is registered. The average is taken over a number of working days peak intensities. The timing of peak intensity
normally varies from day to day.
21.5
21.8
19.6
20.9
22.5
20.5
17.8
18.1
19.2
22.8
18.7
17.2
21.3
17.6
19.3
15.0
19.8
15.9
12.9
19.1
18.4
15.2
15.9
14.2
18.7
21.6
20.4
17.8
18.1
19.8
18.1
16.7
17.4
16.9
18.0
24.2
20.6
20.9
24.2
26.0
26.7
23.1
25.9
22.2
22.5
22.1
23.5
20.6
26.8
27.5
Fascicle II.3 – Rec. E.500 7
To find the average of daily peak full hour (ADPFH) intensity, the traffic intensity is measured
continuously over a day in full-hour periods. Only the highest of these intensity values is registered. The average is
taken over a number of days peak intensities.
The comparative measurements have shown that the traffic intensity values measured by the ADPF-method,
are very consistent with the values measured by the TCBH-method, whereas the ADPQH-method yields slightly (a
few percent) higher values. (See Annex A.) ADPH has an advantage over TCBH when traffic profiles are unstable.
6.4 Alternate routing networks
When alternate routing is used, the dimensioning methods in Recommendation E.522 should be applied
(multi-hour dimensioning technique). In general this requires the continuous measurement of a 24-hour profile for
each traffic quantity in the alternative routing cluster.
In Annex A the differences in results between busy hours defined for individual circuit groups and for
clusters indicate the advantage of continuous measurements and multi-hour dimensioning for alternative routing
networks.
In circumstances where the traffic profiles are stable and similar in the whole cluster, the multi-hour
dimensioning may be applied on a few selected hours of significance to the entire cluster. The stability of traffic
profiles must be confirmed.
7 Daily non-continuous measurements
7.1 Measurement
Some Administrations may find it necessary or economically attractive to restrict measurements to a few
hours or only one hour per day. Such measurements will always be less accurate than continuous measurements. The
resulting busy hour values will always be less than or equal to TCBH.
The time of fixed daily measurements should be confirmed several times a year by measurement of the full
daily traffic profile for every circuit group. The measurement can cover several periods daily, as well.
7.2 Fixed daily measurement period (FDMP)
With this method measurements are taken within a fixed period (e.g. of 3 hours) each day. This period
should correspond to the highest part of the traffic profile, which is expected to include the TCBH. Measurement
values are accumulated separately for each quarter-hour, and the busiest hour is determined at the end of the
measurement period, as for the TCBH. This method will normally give results which are about 95% of the
TCBH traffic level, when the time of fixed daily measurement is defined for every single circuit group, although
major changes in the traffic profile could lead to larger errors.
In alternate routing networks with traffic profiles that are similar and stable in the whole cluster,
FDMP may be used to produce measurements for multi-hour dimensioning applied on a few selected hours of
significance. The stability of traffic profiles should be confirmed several times a year.
7.3 Fixed daily measurement hour (FDMH)
If the fixed daily measurement period is reduced to 1 hour, then it is only necessary to accumulate a single
measured value from each day. This is the simplest measurement method, and it will normally give results which are
about 90% of the TCBH traffic value, when the time of the fixed daily measurement is defined for single circuit
groups individually. However, the variations around the average are large.
8 Fascicle II.3 – Rec. E.500
8 Flow chart for the application of the different calculation methods
The decisions represented in Figure 2/E.500 compare measurement and analysis costs to variations in the
results for a single circuit group or cluster. The costs are particular to each Administration.
The preceding sections of this Recommendation indicate the amount of measurement variance that can
occur in typical situations which can result in overprovisioning or a risk of poor grade of service.
In cluster engineering for alternative routing networks, measurements outside the busy hour are normally
needed if the traffic profile is unstable. In situations of stable traffic load the significant traffic hours can be predicted
accurately, allowing use of a FDMP method.
FIGURE 2/E.500
Flow chart for choosing the measurement method
Fascicle II.3 – Rec. E.500 9
ANNEX A
(to Recommendation E.500)
Example of influence of different busy hour definitions on
measured traffic intensity
A.1 Introduction
The influence of different busy hour definitions on measured traffic intensity has been investigated by means
of measurements on real traffic outgoing from an international exchange.
Three clusters with a total of 15 circuit groups have been studied. One of the clusters (Cluster 1) carries traffic
between different time zones.
Traffic per quarter of an hour was measured during the whole day in 5 two-week periods (10 consecutive
working days). The total elapsed time covered 9 months.
From the results of the first two-week period of daily continuous measurements the times of FDMH and
FDMP have been determined:
– for each circuit group individually (ind),
– per cluster (clu), and
– for all three clusters commonly (com).
The time of FDMH is equal to the time of TCBH in the first two-week period. FDMP includes FDMH and
the hour before and the hour after.
A.2 Results of measurements
The results of the measurements undertaken are summarized in Figures A-1/E.500 to A-5/E.500.
Figure A-1/E.500 shows how the starting time of TCBH varies between the five measurement periods:
– for each cluster, and
– for individual circuit groups in each cluster.
The following observations on the starting time of TCBH can be made:
– the starting time of TCBH is the same in not more than 2 periods. This refers to both circuit groups
and clusters;
– 5 circuit groups and 1 cluster have different TCBH in all periods;
– 8 circuit groups and 2 clusters have TCBH within the same part of the day (morning or evening) in
all periods;
– TCBH common to all clusters is in the evening in all periods. Only 2 periods have the same
common TCBH.
In Figures A-2/E.500 to A-5/E.500 traffic intensities according to different busy hour definitions have been
compared. Traffic intensity according to the TCBH definition has been used as reference value (corresponding
to 100% in the figures).
Figure A-2/E.500 shows the results of comparisons on a cluster level, and Figures A-3/E.500 to A-5/E.500
on a circuit group level.
Means and variations of traffic intensities are given as:
– an average of all five periods (ADPQH and ADPFH), and
– an average of measurement periods 2, 3, 4 and 5 compared with period 1 (FDMH and FDMP).
A.3 Results on cluster level (Figure A-2/E.500)
ADPQH intensities over 100%, mean = 102%.
ADPFH intensities around 100%, mean = 100%.
FDMPclu intensities from 95 to 100%, mean = 99%.
FDMHclu intensities from 90 to 98%, mean = 94%.
FDMPcom intensities from 42 to 100%, mean = 89%.
FDMHcom intensities from 35 to 93%, mean = 83%.
10 Fascicle II.3 – Rec. E.500
A.4 Results on circuit group level (Figures A-3/E.500 to A-5/E.500)
ADPQH intensities over 100%, mean = 104%.
ADPFH intensities around 100%, mean = 100%.
FDMPind intensities from 88 to 100%, mean = 99%.
FDMHind intensities from 80 to 100%, mean = 93%.
FDMPclu intensities from 51 to 100%, mean = 98%.
FDMHclu intensities from 45 to 99%, mean = 91%.
FDMPcom intensities from 24 to 100%, mean = 89%.
FDMHcom intensities from 14 to 99%, mean = 81%.
FIGURE A-1/E.500
Variations in time of TCBH
FIGURE A-2/E.500
Comparisons on cluster level
Fascicle II.3 – Rec. E.500 11
FIGURE A-3/E.500
Comparison on circuit group level
(Cluster 1)
FIGURE A-4/E.500
Comparison on circuit group level
(Cluster 2)
FIGURE A-5/E.500
Comparison on circuit group level
(Cluster 3)
12 Fascicle II.3 – Rec. E.500
References
[1] PARVIALA (A.): The stability of telephone traffic intensity profiles and its influence on measurement
schedules and dimensioning (with Appendix). 11th International Teletraffic Congress, Kyoto 1985.
[2] Biometrika Tables for Statisticians, Table 9, Vol. 2. Cambridge University Press, 1972.
ITU-T E-SERIES RECOMMENDATIONS
OVERALL NETWORK OPERATION, TELEPHONE SERVICE,
SERVICE OPERATION AND HUMAN FACTORS
For further details, please refer to ITU-T List of Recommendations.
OPERATION, NUMBERING, ROUTING AND MOBILE SERVICES
INTERNATIONAL OPERATION
Definitions E.100–E.103
General provisions concerning Administrations E.104–E.119
General provisions concerning users E.120–E.139
Operation of international telephone services E.140–E.159
Numbering plan of the international telephone service E.160–E.169
International routing plan E.170–E.179
Tones in national signalling systems E.180–E.189
Numbering plan of the international telephone service E.190–E.199
Maritime mobile service and public land mobile service E.200–E.229
OPERATIONAL PROVISIONS RELATING TO CHARGING AND ACCOUNTING IN
THE INTERNATIONAL TELEPHONE SERVICE
Charging in the international telephone service E.230–E.249
Measuring and recording call durations for accounting purposes E.260–E.269
UTILIZATION OF THE INTERNATIONAL TELEPHONE NETWORK FOR NON-
TELEPHONY APPLICATIONS
General E.300–E.319
Phototelegraphy E.320–E.329
ISDN PROVISIONS CONCERNING USERS
International routing plan E.350–E.399
QUALITY OF SERVICE, NETWORK MANAGEMENT AND TRAFFIC ENGINEERING
NETWORK MANAGEMENT
International service statistics E.400–E.409
International network management E.410–E.419
Checking the quality of the international telephone service E.420–E.489
TRAFFIC ENGINEERING
Measurement and recording of traffic E.490–E.505
Forecasting of traffic E.506–E.509
Determination of the number of circuits in manual operation E.510–E.519
Determination of the number of circuits in automatic and semi-automatic operation E.520–E.539
Grade of service E.540–E.599
Definitions E.600–E.649
ISDN traffic engineering E.700–E.749
Mobile network traffic engineering E.750–E.799
QUALITY OF TELECOMMUNICATION SERVICES: CONCEPTS, MODELS,
OBJECTIVES AND DEPENDABILITY PLANNING
Terms and definitions related to the quality of telecommunication services E.800–E.809
Models for telecommunication services E.810–E.844
Objectives for quality of service and related concepts of telecommunication services E.845–E.859
Use of quality of service objectives for planning of telecommunication networks E.860–E.879
Field data collection and evaluation on the performance of equipment, networks and services E.880–E.899
Printed in Switzerland
Geneva, 2007
ITU-T RECOMMENDATIONS SERIES
Series A Organization of the work of the ITU-T
Series B Means of expression: definitions, symbols, classification
Series C General telecommunication statistics
Series D General tariff principles
Series E Overall network operation, telephone service, service operation and human factors
Series F Non-telephone telecommunication services
Series G Transmission systems and media, digital systems and networks
Series H Audiovisual and multimedia systems
Series I Integrated services digital network
Series J Transmission of television, sound programme and other multimedia signals
Series K Protection against interference
Series L Construction, installation and protection of cables and other elements of outside plant
Series M TMN and network maintenance: international transmission systems, telephone circuits, telegraphy,
facsimile and leased circuits
Series N Maintenance: international sound programme and television transmission circuits
Series O Specifications of measuring equipment
Series P Telephone transmission quality, telephone installations, local line networks
Series Q Switching and signalling
Series R Telegraph transmission
Series S Telegraph services terminal equipment
Series T Terminals for telematic services
Series U Telegraph switching
Series V Data communication over the telephone network
Series X Data networks and open system communications
Series Y Global information infrastructure and Internet protocol aspects
Series Z Languages and general software aspects for telecommunication systems

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T rec-e.500-198811-s!!pdf-e

  • 1. INTERNATIONAL TELECOMMUNICATION UNION CCITT E.500 THE INTERNATIONAL TELEGRAPH AND TELEPHONE CONSULTATIVE COMMITTEE (11/1988) SERIES E: OVERALL NETWORK OPERATION, TELEPHONE SERVICE, SERVICE OPERATION AND HUMAN FACTORS Traffic engineering – Measurement and recording of traffic TRAFFIC INTENSITY MEASUREMENT PRINCIPLES Reedition of CCITT Recommendation E.500 published in the Blue Book, Fascicle II.3 (1988)
  • 2. NOTES 1 CCITT Recommendation E.500 was published in Fascicle II.3 of the Blue Book. This file is an extract from the Blue Book. While the presentation and layout of the text might be slightly different from the Blue Book version, the contents of the file are identical to the Blue Book version and copyright conditions remain unchanged (see below). 2 In this Recommendation, the expression “Administration” is used for conciseness to indicate both a telecommunication administration and a recognized operating agency. © ITU 1988, 2007 All rights reserved. No part of this publication may be reproduced, by any means whatsoever, without the prior written permission of the ITU.
  • 3. Fascicle II.3 – Rec. E.500 1 Recommendation E.500 TRAFFIC INTENSITY MEASUREMENT PRINCIPLES 1 Introduction 1.1 Traffic measurements provide the data base from which the planning, operation, management and, in some cases, accounting for transit considerations of the telephone network are carried out. Different applications may exist for the same traffic measurement. 1.2 This Recommendation gives the principles for measuring carried traffic and bids on circuit groups and exchanges. The number of bids and preferably also carried traffic intensity should also be determined by individual relations (destinations). Data so obtained are applied both for operation and planning. Recommendation E.501 gives methods for estimating offered traffic from carried traffic measurements. Recommendation E.502 describes exchange requirements for traffic measurements both in national and international exchanges. Recommendation E.525 describes the traffic data analysis. Recommendation E.506 gives methods for forecasting future traffic requirements. The remainder of the E.500 Series of Recommendations describes how to utilize this data base in the operation and planning of telephone networks. The measurements required for network management as described in the E.410 Series are generally similar to those described in this Recommendation. They will usually require a variable and shorter reporting interval. 2 Definitions A measurement of the amount of traffic carried is the average Erlang value during a certain period of time (e.g. 15 min., 1 hour). A measurement of the number of bids is a count of this entity during a certain period of time. Measurements are taken continuously during the day or with exclusion of known low traffic periods. The set of days at which measurement has been taken is called the measurement days. In the yearly continuous measurement the measurement days are post-selected from a base period with a length of the whole year. The post-selected days include the peak intensity values measured during the base period. In the yearly non-continuous measurement the measurement days are scheduled (pre-selected) from a base period of a few months. The pre-selected days include the high load days of expectation or of earlier observations. A traffic profile is defined to be stable when the individual daily traffic profiles differ only little in shape and traffic volume between each other. A traffic profile is defined to be unstable when the individual daily traffic profiles differ in shape or traffic volume between each other. 3 Overview Circuit group dimensioning is based on a congestion objective, on the traffic intensity values at high load time and on the forecast value of intensity until the next augmentation of circuits. Intensity is measured during a daily busy hour and averaged over a number of days, to avoid exceptional values. If traffic measurements are taken every day of the year (yearly continuous measurements), the required averages can be calculated directly as described in § 4. If traffic measurements are taken only during a limited number of days in the year (yearly non-continuous measurements), the equivalent traffic loads may be estimated using the procedures given in § 5.
  • 4. 2 Fascicle II.3 – Rec. E.500 The busy hour concept is an important aspect of teletraffic engineering and may be applied in a number of ways. In the E.500 Series of Recommendations the busy hour traffic used is an average of several days with, in some cases, an allowance for day to day variations (Recommendation E.521). Within the busy hour, traffic is considered to be stationary and thus the recorded intensity is the mean value during the busy hour. The recommended standard method of calculating the daily average requires continuously measuring all quarter hours for all days concerned and selecting the busiest hour in the average profile for all days. This method is called the Time-Consistent Busy Hour (TCBH) and is described in detail in § 6. This method is most valuable in situations of stable traffic profiles. The daily continuous measurements provide the data necessary for confirming profile stability. Another method of arriving at the representative average busy hour also involves continuously measuring all quarter hours, but only the busiest hour of each day is retained for averaging. This method is called the Average Daily Peak Hour (ADPH) and is described in detail in § 6 together with the relation of ADPH results to TCBH results. The advantages of ADPH are that it requires less data storage and manipulation than TCBH and that it gives a more representative value in the situation of unstable traffic profiles. In some situations Administrations do not measure traffic continuously over the day, but only for the hour or few hours expected to be busiest. This method is called the Fixed Daily Measurement Period (FDMP) or Fixed Daily Measurement Hour (FDMH) and is described in detail in § 7 together with the relation of FDMP results to TCBH results. The advantage of FDMP is that it requires less measurement resources than TCBH or ADPH. The disadvantage is that in individual situations the difference between FDMP and TCBH results may vary widely. In some network situations significant savings can be made by multihour dimensioning (e.g. cluster engineering, time zone differences). This requires daily continuous measurements. 4 Yearly continuous measurements Traffic statistics should be measured for the significant period of each day of the whole year. The significant period may in principle be 24 hours of the day. The measurements for computing normal traffic load should be the 30 highest days in a fixed 12-month period. Normally these will be working days, but in some cases separate weekend or tariff-related period measurements should be examined so that Administrations can agree bilaterally on appropriate measures to maintain a reasonable grade of service (GOS) for weekends and tariff-related periods. Recurring exceptional days (e.g. Christmas, Mother's Day, etc.) should be excluded for network dimensioning purposes although the data should be collected for network management purposes (Recommendation E.410). This method gives traffic information of relatively high accuracy and is suitable for circuits groups operated automatically or semiautomatically. 4.1 Normal and high load levels Teletraffic performance objectives and dimensioning practices generally set objectives for two sets of traffic load conditions. A normal traffic load can be considered the typical operating condition of a network for which subscribers service expectations should be met. A high traffic load can be considered a less frequently encountered operating condition of a network for which normal subscriber expectations would not be met but for which a reduced level of performance should be achieved to prevent excessive repeat calling and spread of network congestion.
  • 5. Fascicle II.3 – Rec. E.500 3 In order to estimate normal and high load levels, offered traffic intensity values should, where necessary, be estimated from daily carried traffic measurements. Estimation procedures are presented in Recommendation E.501. Normal and high loads are defined in Table 1/E.500. TABLE 1/E.500 5 Yearly non-continuous measurements 5.1 Introduction This method consists in taking measurements on a limited sample of days in each year. Limited sample measurements will normally be taken on working days, but Administrations may agree bilaterally to measure weekend or reduced tariff periods separately. Any Administration proposing to use a yearly non-continuous measurement procedure is advised to confer with other end Administrations to ensure that the maximum information is available to assist in the choice of measurement days. For example, if the other end Administration has continuous measurement capability it may be possible to identify busy seasons or consistent low-traffic days. Table 2/E.500 shows the results of a study carried out on circuit groups within a large metropolitan network [1]. The errors shown are the under-estimates resulting if average busy hour carried traffic intensity is measured over a pre-defined two-week period of the year, rather than the actual busiest two-week period. (The pre- defined period was, in fact, the peak period of the preceding year.) The error averages 7.6% more or less, depending on circuit group size. Had an Administration wished to estimate the true peak two-week intensity with 90% confidence, starting with the pre-defined two-week measurements, the latter would have had to be increased by amounts ranging from about 14% for large circuit groups, up to about 31% for small ones. (The magnitude of these corrections indicates how inadequate a two-week sample can be as a basis for network planning.) Circuit groups Parameter Normal load High load Carried traffic intensity Mean of the 30 highest working days during a 12-month period. Mean of the five highest days in the same period as normal load. Number of bids Mean of the same 30 days on which the offered traffic intensities are highest. Mean of same five days on which the offered traffic intensities are the highest. Exchanges Parameter Normal load High load Carried traffic intensity Mean of the ten highest days during a 12-month period. Mean of the five highest days in the same period as normal load. Number of bids Mean of the same ten highest days (not necessarily the same as the highest offered traffic days) during a 12-month period. Mean of the five highest days (not necessarily the same as the highest offered traffic days) in the same period as normal load.
  • 6. 4 Fascicle II.3 – Rec. E.500 TABLE 2/E.500 Weighted mean error and the upper limit of the intensity error class for a cumulative proportion of circuit groups, categorized according to traffic intensity 5.2 Estimation method An approximate statistical method for estimating normal and high load levels from limited sample measurements is provided below. 5.2.1 Principle of estimation method Measurements are taken on a limited sample of days, and the mean (M) and standard deviation (S ) of the daily busy hour traffic loads are calculated. Normal and high load level estimates (L) are given by: L = M + k · S different values of the factor k being used for normal and high load levels. ( ) 2/1 n 1i 2 i M–X 1–n 1 S         = ∑= where Xi is the time-consistent busy hour traffic measured on the ith day, ∑ = = n i iX n M 1 1 is the sample mean, and n is the number of measurement days. If the measurement period is less than 30 days then the estimate will not be very reliable. In this case Administrations should, if possible, carry out special measurement studies to determine typical values of the standard deviation (e.g. as a function of the sample mean). 5.2.2 Base period for measurements It is important to determine the "base period" since the length of this period influences the values assigned to the multiplication factors k. The base period is the set of valid days in each year from which measurement days are preselected. This period should include all days which are potential candidates for being among the 30 highest days (but excluding recurring exceptional days – see § 4). The base period may be restricted to a busy season (which need not necessarily comprise a set of consecutive weeks) provided that the traffic is known to be consistently higher during this period than during the remainder of the year. Total Low < 10 Erl Medium 10-100 Erl High > 100 Erl Circuits groups Weighted mean error of the intensity value Cumulative proportion of circuit groups 50% 80% 90% 95% 98% 2728 7.6% 7.9% 16.9% 23.9% 31.9% 41.9% 1056 13.7% 12.9% 22.9% 30.9% 37.9% 47.9% 1564 7.8% 6.9% 17.9% 23.9% 34.9% 40.9% 110 5.2% 3.9% 7.9% 13.9% 17.9% 26.9%
  • 7. Fascicle II.3 – Rec. E.500 5 The base period may be the whole year, but Administrations may also decide to exclude known low-traffic days. 5.2.3 Selection of measurement days Measurement days should be distributed reasonably evenly throughout the base period. If the base period extends over the whole year then the measurement sample should include some days from the busiest part of the year, if these are known. The limited sample should comprise at least 30 days to ensure reliable estimates. If this is not possible, then a minimum of 10 measurement days may be used. In this case the reliability of the estimate is poor. 5.2.4 Multiplication factors Multiplication factors k for 5-day, 10-day, and 30-day load levels are given by the curves in Figure 1/E.500, as a function of the number of days in the base period. These factors are derived from tables of order statistics from the normal distribution [2]. When the base period extends over the whole year these factors may not always be reliable because of the effects of differing seasonal patterns. Individual Administrations may then prefer to use different values for the factors, if they have obtained more precise information from special measurement studies. FIGURE 1/E.500 Multiplication factors for estimating mean of 5, 10 or 30 highest days from noncontinuous measurements 5.2.5 Examples The following data illustrate the application of this procedure to the estimation of normal and high load levels from non-continuous measurements on a circuit group over a 1-year period. After excluding holidays and other known low traffic periods the base period which is available for measurement purposes is determined to be 220 days. The k -factors to be used are therefore (from Figure 1/E.500): Normal (30-day) load level: k = 1.6 High ( 5-day) load level: k = 2.3
  • 8. 6 Fascicle II.3 – Rec. E.500 Measurements are taken on 50 days within the base period. The daily measured busy-hour traffic values, in Erlangs, are as follows: The sample mean and standard deviation are: M = 20.11 S = 3.37 The normal and high load level estimates are then calculated from L = M + k · S to give: Normal load = 25.5 Erlangs High load = 27.9 Erlangs 5.2.6 High to normal traffic ratios In some circumstances, actual values of high day loads are not available. In such cases, various Administrations use standard ratios of high to normal load for forecasting for design or planning purposes. For example, as a general order of magnitude, the following ratios of high to normal load may be used as a guide for a healthy network: Parameter Circuit groups Exchanges Offered traffic intensity 1.2 1.1 Number of call attempts 1.4 1.2 6 Daily continuous measurements 6.1 Measurement It is recommended that Administrations take traffic measurements continuously over the day throughout the measurement period. Depending on the application, a busy hour value for dimensioning should be calculated as the peak value of the mean day profile or the average of daily peak values. 6.2 Time-consistent busy hour (TCBH)-intensity (post-selected) For a number of days, carried traffic values for each quarter hour for each day are recorded. The values for the same quarter hour each day are averaged. The four consecutive quarter-hours in this average day which together give the largest sum of observed values form the TCBH with its TCBH-intensity. This is sometimes referred to as post-selected TCBH. In the case where a stable traffic profile exists, the TCBH-intensity is used as a base method for dimensioning; if measurement methods yielding systematically lower or higher intensity values than the TCB-method are used, adjustments to the calculations are needed. 6.3 Average of the daily peak hours traffic, defined on quarter hour or on full hour basis To find the average of daily peak quarterly defined hour (ADPQH) intensity, the traffic intensity is measured continuously over a day in quarter-hour periods. The intensity values are processed daily to find out the four consecutive quarter hours with the highest intensity value sum. Only this daily peak hour traffic intensity value is registered. The average is taken over a number of working days peak intensities. The timing of peak intensity normally varies from day to day. 21.5 21.8 19.6 20.9 22.5 20.5 17.8 18.1 19.2 22.8 18.7 17.2 21.3 17.6 19.3 15.0 19.8 15.9 12.9 19.1 18.4 15.2 15.9 14.2 18.7 21.6 20.4 17.8 18.1 19.8 18.1 16.7 17.4 16.9 18.0 24.2 20.6 20.9 24.2 26.0 26.7 23.1 25.9 22.2 22.5 22.1 23.5 20.6 26.8 27.5
  • 9. Fascicle II.3 – Rec. E.500 7 To find the average of daily peak full hour (ADPFH) intensity, the traffic intensity is measured continuously over a day in full-hour periods. Only the highest of these intensity values is registered. The average is taken over a number of days peak intensities. The comparative measurements have shown that the traffic intensity values measured by the ADPF-method, are very consistent with the values measured by the TCBH-method, whereas the ADPQH-method yields slightly (a few percent) higher values. (See Annex A.) ADPH has an advantage over TCBH when traffic profiles are unstable. 6.4 Alternate routing networks When alternate routing is used, the dimensioning methods in Recommendation E.522 should be applied (multi-hour dimensioning technique). In general this requires the continuous measurement of a 24-hour profile for each traffic quantity in the alternative routing cluster. In Annex A the differences in results between busy hours defined for individual circuit groups and for clusters indicate the advantage of continuous measurements and multi-hour dimensioning for alternative routing networks. In circumstances where the traffic profiles are stable and similar in the whole cluster, the multi-hour dimensioning may be applied on a few selected hours of significance to the entire cluster. The stability of traffic profiles must be confirmed. 7 Daily non-continuous measurements 7.1 Measurement Some Administrations may find it necessary or economically attractive to restrict measurements to a few hours or only one hour per day. Such measurements will always be less accurate than continuous measurements. The resulting busy hour values will always be less than or equal to TCBH. The time of fixed daily measurements should be confirmed several times a year by measurement of the full daily traffic profile for every circuit group. The measurement can cover several periods daily, as well. 7.2 Fixed daily measurement period (FDMP) With this method measurements are taken within a fixed period (e.g. of 3 hours) each day. This period should correspond to the highest part of the traffic profile, which is expected to include the TCBH. Measurement values are accumulated separately for each quarter-hour, and the busiest hour is determined at the end of the measurement period, as for the TCBH. This method will normally give results which are about 95% of the TCBH traffic level, when the time of fixed daily measurement is defined for every single circuit group, although major changes in the traffic profile could lead to larger errors. In alternate routing networks with traffic profiles that are similar and stable in the whole cluster, FDMP may be used to produce measurements for multi-hour dimensioning applied on a few selected hours of significance. The stability of traffic profiles should be confirmed several times a year. 7.3 Fixed daily measurement hour (FDMH) If the fixed daily measurement period is reduced to 1 hour, then it is only necessary to accumulate a single measured value from each day. This is the simplest measurement method, and it will normally give results which are about 90% of the TCBH traffic value, when the time of the fixed daily measurement is defined for single circuit groups individually. However, the variations around the average are large.
  • 10. 8 Fascicle II.3 – Rec. E.500 8 Flow chart for the application of the different calculation methods The decisions represented in Figure 2/E.500 compare measurement and analysis costs to variations in the results for a single circuit group or cluster. The costs are particular to each Administration. The preceding sections of this Recommendation indicate the amount of measurement variance that can occur in typical situations which can result in overprovisioning or a risk of poor grade of service. In cluster engineering for alternative routing networks, measurements outside the busy hour are normally needed if the traffic profile is unstable. In situations of stable traffic load the significant traffic hours can be predicted accurately, allowing use of a FDMP method. FIGURE 2/E.500 Flow chart for choosing the measurement method
  • 11. Fascicle II.3 – Rec. E.500 9 ANNEX A (to Recommendation E.500) Example of influence of different busy hour definitions on measured traffic intensity A.1 Introduction The influence of different busy hour definitions on measured traffic intensity has been investigated by means of measurements on real traffic outgoing from an international exchange. Three clusters with a total of 15 circuit groups have been studied. One of the clusters (Cluster 1) carries traffic between different time zones. Traffic per quarter of an hour was measured during the whole day in 5 two-week periods (10 consecutive working days). The total elapsed time covered 9 months. From the results of the first two-week period of daily continuous measurements the times of FDMH and FDMP have been determined: – for each circuit group individually (ind), – per cluster (clu), and – for all three clusters commonly (com). The time of FDMH is equal to the time of TCBH in the first two-week period. FDMP includes FDMH and the hour before and the hour after. A.2 Results of measurements The results of the measurements undertaken are summarized in Figures A-1/E.500 to A-5/E.500. Figure A-1/E.500 shows how the starting time of TCBH varies between the five measurement periods: – for each cluster, and – for individual circuit groups in each cluster. The following observations on the starting time of TCBH can be made: – the starting time of TCBH is the same in not more than 2 periods. This refers to both circuit groups and clusters; – 5 circuit groups and 1 cluster have different TCBH in all periods; – 8 circuit groups and 2 clusters have TCBH within the same part of the day (morning or evening) in all periods; – TCBH common to all clusters is in the evening in all periods. Only 2 periods have the same common TCBH. In Figures A-2/E.500 to A-5/E.500 traffic intensities according to different busy hour definitions have been compared. Traffic intensity according to the TCBH definition has been used as reference value (corresponding to 100% in the figures). Figure A-2/E.500 shows the results of comparisons on a cluster level, and Figures A-3/E.500 to A-5/E.500 on a circuit group level. Means and variations of traffic intensities are given as: – an average of all five periods (ADPQH and ADPFH), and – an average of measurement periods 2, 3, 4 and 5 compared with period 1 (FDMH and FDMP). A.3 Results on cluster level (Figure A-2/E.500) ADPQH intensities over 100%, mean = 102%. ADPFH intensities around 100%, mean = 100%. FDMPclu intensities from 95 to 100%, mean = 99%. FDMHclu intensities from 90 to 98%, mean = 94%. FDMPcom intensities from 42 to 100%, mean = 89%. FDMHcom intensities from 35 to 93%, mean = 83%.
  • 12. 10 Fascicle II.3 – Rec. E.500 A.4 Results on circuit group level (Figures A-3/E.500 to A-5/E.500) ADPQH intensities over 100%, mean = 104%. ADPFH intensities around 100%, mean = 100%. FDMPind intensities from 88 to 100%, mean = 99%. FDMHind intensities from 80 to 100%, mean = 93%. FDMPclu intensities from 51 to 100%, mean = 98%. FDMHclu intensities from 45 to 99%, mean = 91%. FDMPcom intensities from 24 to 100%, mean = 89%. FDMHcom intensities from 14 to 99%, mean = 81%. FIGURE A-1/E.500 Variations in time of TCBH FIGURE A-2/E.500 Comparisons on cluster level
  • 13. Fascicle II.3 – Rec. E.500 11 FIGURE A-3/E.500 Comparison on circuit group level (Cluster 1) FIGURE A-4/E.500 Comparison on circuit group level (Cluster 2) FIGURE A-5/E.500 Comparison on circuit group level (Cluster 3)
  • 14. 12 Fascicle II.3 – Rec. E.500 References [1] PARVIALA (A.): The stability of telephone traffic intensity profiles and its influence on measurement schedules and dimensioning (with Appendix). 11th International Teletraffic Congress, Kyoto 1985. [2] Biometrika Tables for Statisticians, Table 9, Vol. 2. Cambridge University Press, 1972.
  • 15. ITU-T E-SERIES RECOMMENDATIONS OVERALL NETWORK OPERATION, TELEPHONE SERVICE, SERVICE OPERATION AND HUMAN FACTORS For further details, please refer to ITU-T List of Recommendations. OPERATION, NUMBERING, ROUTING AND MOBILE SERVICES INTERNATIONAL OPERATION Definitions E.100–E.103 General provisions concerning Administrations E.104–E.119 General provisions concerning users E.120–E.139 Operation of international telephone services E.140–E.159 Numbering plan of the international telephone service E.160–E.169 International routing plan E.170–E.179 Tones in national signalling systems E.180–E.189 Numbering plan of the international telephone service E.190–E.199 Maritime mobile service and public land mobile service E.200–E.229 OPERATIONAL PROVISIONS RELATING TO CHARGING AND ACCOUNTING IN THE INTERNATIONAL TELEPHONE SERVICE Charging in the international telephone service E.230–E.249 Measuring and recording call durations for accounting purposes E.260–E.269 UTILIZATION OF THE INTERNATIONAL TELEPHONE NETWORK FOR NON- TELEPHONY APPLICATIONS General E.300–E.319 Phototelegraphy E.320–E.329 ISDN PROVISIONS CONCERNING USERS International routing plan E.350–E.399 QUALITY OF SERVICE, NETWORK MANAGEMENT AND TRAFFIC ENGINEERING NETWORK MANAGEMENT International service statistics E.400–E.409 International network management E.410–E.419 Checking the quality of the international telephone service E.420–E.489 TRAFFIC ENGINEERING Measurement and recording of traffic E.490–E.505 Forecasting of traffic E.506–E.509 Determination of the number of circuits in manual operation E.510–E.519 Determination of the number of circuits in automatic and semi-automatic operation E.520–E.539 Grade of service E.540–E.599 Definitions E.600–E.649 ISDN traffic engineering E.700–E.749 Mobile network traffic engineering E.750–E.799 QUALITY OF TELECOMMUNICATION SERVICES: CONCEPTS, MODELS, OBJECTIVES AND DEPENDABILITY PLANNING Terms and definitions related to the quality of telecommunication services E.800–E.809 Models for telecommunication services E.810–E.844 Objectives for quality of service and related concepts of telecommunication services E.845–E.859 Use of quality of service objectives for planning of telecommunication networks E.860–E.879 Field data collection and evaluation on the performance of equipment, networks and services E.880–E.899
  • 16. Printed in Switzerland Geneva, 2007 ITU-T RECOMMENDATIONS SERIES Series A Organization of the work of the ITU-T Series B Means of expression: definitions, symbols, classification Series C General telecommunication statistics Series D General tariff principles Series E Overall network operation, telephone service, service operation and human factors Series F Non-telephone telecommunication services Series G Transmission systems and media, digital systems and networks Series H Audiovisual and multimedia systems Series I Integrated services digital network Series J Transmission of television, sound programme and other multimedia signals Series K Protection against interference Series L Construction, installation and protection of cables and other elements of outside plant Series M TMN and network maintenance: international transmission systems, telephone circuits, telegraphy, facsimile and leased circuits Series N Maintenance: international sound programme and television transmission circuits Series O Specifications of measuring equipment Series P Telephone transmission quality, telephone installations, local line networks Series Q Switching and signalling Series R Telegraph transmission Series S Telegraph services terminal equipment Series T Terminals for telematic services Series U Telegraph switching Series V Data communication over the telephone network Series X Data networks and open system communications Series Y Global information infrastructure and Internet protocol aspects Series Z Languages and general software aspects for telecommunication systems