This document discusses various applications of adaptive linear equalizers including: system identification, linear prediction, inverse modeling, jammer suppression, adaptive notch filtering, noise cancellation, echo cancellation in voice/data communications, fetal monitoring, ocular artifact removal from EEGs, and noise cancellation in AC electrical measurements. Adaptive linear equalizers are used across many domains including telecommunications, radar, sonar, video/audio processing, and noise cancellation to adapt filter coefficients over time to compensate for changes in systems and optimize signal recovery/interference rejection.
A KALMAN FILTERING TUTORIAL FOR UNDERGRADUATE STUDENTSIJCSES Journal
This paper presents a tutorial on Kalman filtering that is designed for instruction to undergraduate
students. The idea behind this work is that undergraduate students do not have much of the statistical and
theoretical background necessary to fully understand the existing research papers and textbooks on this
topic. Instead, this work offers an introductory experience for students which takes a more practical usage
perspective on the topic, rather than the statistical derivation. Students reading this paper should be able
to understand how to apply Kalman filtering tools to mathematical problems without requiring a deep
theoretical understanding of statistical theory.
Avionics 738 Adaptive Filtering at Air University PAC Campus by Dr. Bilal A. Siddiqui in Spring 2018. This lecture deals with introduction to Kalman Filtering. Based n Optimal State Estimation by Dan Simon.
A KALMAN FILTERING TUTORIAL FOR UNDERGRADUATE STUDENTSIJCSES Journal
This paper presents a tutorial on Kalman filtering that is designed for instruction to undergraduate
students. The idea behind this work is that undergraduate students do not have much of the statistical and
theoretical background necessary to fully understand the existing research papers and textbooks on this
topic. Instead, this work offers an introductory experience for students which takes a more practical usage
perspective on the topic, rather than the statistical derivation. Students reading this paper should be able
to understand how to apply Kalman filtering tools to mathematical problems without requiring a deep
theoretical understanding of statistical theory.
Avionics 738 Adaptive Filtering at Air University PAC Campus by Dr. Bilal A. Siddiqui in Spring 2018. This lecture deals with introduction to Kalman Filtering. Based n Optimal State Estimation by Dan Simon.
Kalman filter is a algorithm of predicting the future state of a system based on the previous ones.
In the presentation, I introduce to basic Kalman filtering step by step, with providing examples for better understanding.
Kalman Filter, also known as Linear Quadratic Estimation (LQE) is the algorithm that uses series of measurements that are observed over time and that contains statistical noise and other inaccuracies that are found in the given system. Copy the link given below and paste it in new browser window to get more information on Kalman Filter:- http://www.transtutors.com/homework-help/statistics/kalman-filter.aspx
A Kalman Filter is a more sophisticated smoothing algorithm that will actually change in real time as the performance of Various Sensors Change and become more or less reliable.What we want to do is filter out noise in our measurements and in our sensors and Kalman Filter is one way to do that reliably.It is based on Recursive Bayesian Filter
These slides deal with the basic problem of channel equalization and exposes the issue related to it and shows how it can be balanced by the usage of effective and robust algorithms.
Application of Digital Signal Processing In Echo Cancellation: A SurveyEditor IJCATR
The advanced communications world is worried talking more naturally by using hands free this help the human being to talk
more confidently without holding any of the devices such as microphones or telephones. Acoustic echo cancellation and noise
cancellers are quite interesting nowadays because they are required in many applications such as speakerphones and audio/video
conferencing. This paper describes an alternative method of estimating signals corrupted by additive noise or interference. Acoustic
echo cancellation problem was discussed out of different noise cancellation techniques by concerning different parameters with their
comparative results .The results shown are using some specific algorithm
Kalman filter is a algorithm of predicting the future state of a system based on the previous ones.
In the presentation, I introduce to basic Kalman filtering step by step, with providing examples for better understanding.
Kalman Filter, also known as Linear Quadratic Estimation (LQE) is the algorithm that uses series of measurements that are observed over time and that contains statistical noise and other inaccuracies that are found in the given system. Copy the link given below and paste it in new browser window to get more information on Kalman Filter:- http://www.transtutors.com/homework-help/statistics/kalman-filter.aspx
A Kalman Filter is a more sophisticated smoothing algorithm that will actually change in real time as the performance of Various Sensors Change and become more or less reliable.What we want to do is filter out noise in our measurements and in our sensors and Kalman Filter is one way to do that reliably.It is based on Recursive Bayesian Filter
These slides deal with the basic problem of channel equalization and exposes the issue related to it and shows how it can be balanced by the usage of effective and robust algorithms.
Application of Digital Signal Processing In Echo Cancellation: A SurveyEditor IJCATR
The advanced communications world is worried talking more naturally by using hands free this help the human being to talk
more confidently without holding any of the devices such as microphones or telephones. Acoustic echo cancellation and noise
cancellers are quite interesting nowadays because they are required in many applications such as speakerphones and audio/video
conferencing. This paper describes an alternative method of estimating signals corrupted by additive noise or interference. Acoustic
echo cancellation problem was discussed out of different noise cancellation techniques by concerning different parameters with their
comparative results .The results shown are using some specific algorithm
Echo Cancellation Algorithms using Adaptive Filters: A Comparative Studyidescitation
An adaptive filter is a filter that self-adjusts its transfer function according to an
optimization algorithm driven by an error signal. Adaptive filter finds its essence in
applications such as echo cancellation, noise cancellation, system identification and many
others. This paper briefly discusses LMS, NLMS and RLS adaptive filter algorithms for
echo cancellation. For the analysis, an acoustic echo canceller is built using LMS, NLMS
and RLS algorithms and the echo cancelled samples are studied using Spectrogram. The
analysis is further extended with its cross-correlation and ERLE (Echo Return Loss
Enhancement) results. Finally, this paper concludes with a better adaptive filter algorithm
for Echo cancellation. The implementation and analysis is done using MATLAB®,
SIMULINK® and SPECTROGRAM V5.0®.
Design and Implementation of Polyphase based Subband Adaptive Structure for N...Pratik Ghotkar
With the tremendous growth in the Digital Signal processing technology, there are many techniques available to remove noise from the speech signals which is used in the speech processing. Widely used LMS algorithm is modified with much advancement but still there are many limitations are introducing. This paper consist of a new approach i.e. subband adaptive processing for noise cancelation in the speech signals. Subband processing employs the multirate signal processing. The polyphase based subband adaptive implementation finds better results in term of MMSE , PSNR and processing time; also the synthesis filter bank is works on the lower data rate which reduces the computational Burdon as compare to the direct implementation of Subband adaptive filter. The normalized least mean squares (NLMS) algorithm is a class of adaptive filter used.
Research on VoIP Acoustic Echo Cancelation Algorithm Based on SpeexTELKOMNIKA JOURNAL
Echo cancellation has been a major problem to be solved in VoIP, although the integrated echo cancellation module in Speex, it does not consider thread synchronization issues. The frequency domain echo cancellation algorithm MDF of speex is analyzed, and then a synchronization method of playing thread and recording thread is proposed. The results show that the acoustic echo canceller which achieved by the proposed method meet the requirements of voice communication, implementation is easier and therefore provides a reference for the VoIP voice communication and mobile communication terminal.
Revealing and evaluating the influence of filters position in cascaded filter...nooriasukmaningtyas
In this paper, a new optimization on windowing technique based on finite
impulse response (FIR) filters is proposed for revealing and evaluating the
Influence of filters position in cascaded filter tested on the ECG signal denoising. baseline wander (BLW), power line interference (PLI) and
electromyography (EMG) noises are gettingremoved. The performance of the
adopted method is evaluated on the PTB diagnostic database. Subsequently,
the comparisons are based on signal to noise ratio (SNR) improvement and
mean square error (MSE) minimization. Where the Rectangular, and Kaiser
windows have been used for the more potent performances. The disparity
average (DA) of SNR values is detected; in both Kaiser and Rectangular
windows are assessed by ±0.38046dB and ±0.70278dB respectively, while
the MSE values were constant. The excellent configuration or filters position
(H-B-L) of the filtration system is selected according to high measurements
of SNR and low MSE too, to de-noise the ECG signals. First of all, this
applied approach has led to 31.30 dB SNR improvement with MSE
minimization of 26. 43%. This means that there is a significant contribution
to improving the field of filtration.
Mitigation of Noise in OFDM Based Plc System Using Filter Kernel DesignIJERA Editor
Power line communication is a technology that transforms power line in to pathway for conveyance of
broadband data. It is cost less than other communication approach and for better bandwidth efficiency OFDM
based PLC system is used. In real PLC environment some electrical appliances will produce noise. To mitigate
this noise filter kernel design is used, so periodic impulsive noise and Gaussian noises are removed from PLC
communication system by using this filter kernel design. MATLAB is used for the simulation and the result
shows that filter kernel is simple and effective noise mitigation technique. Further in future, interference due to
obstacles also wants to be mitigated for the better data transmission without noise.
To meet the demands of high speed required by mobile communication of past generations ,one solution is to increase the number of antennas to the show and the reception of the wireless link this is called MIMO (Multiple input ,Multiple output )technology .however ,the integration of multiple antennas on the same PCB is delicate because of the small volume that require some applications and electromagnetic antenna between the coupling ,phenomena that we cannot neglect them .indeed a strong isolation between them has been reached to reduce fading of the signal caused by the electromagnetic antenna reached to reduce fading of the signal caused by the electromagnetic coupling and maximize the overall gain .in this article we are interested then integration on the same printed circuit of eight antennas MIMO are not operation in the same frequency band .the first antenna of this last work at 2.4GHz .other antennas have resonance frequency folling each with 20MHz offset this device is characterized by its original form that keeps is highly isolated antennas from the point of view electromagnetic coupling
DESIGN AND OPTIMIZATION A CIRCULAR SHAPE NETWORK ANTENNA MICRO STRIP FOR SOME...ijcseit
To meet the demands of high speed required by mobile communication of past generations ,one solution is
to increase the number of antennas to the show and the reception of the wireless link this is called MIMO
(Multiple input ,Multiple output )technology .however ,the integration of multiple antennas on the same
PCB is delicate because of the small volume that require some applications and electromagnetic antenna
between the coupling ,phenomena that we cannot neglect them .indeed a strong isolation between them has
been reached to reduce fading of the signal caused by the electromagnetic antenna reached to reduce
fading of the signal caused by the electromagnetic coupling and maximize the overall gain .in this article
we are interested then integration on the same printed circuit of eight antennas MIMO are not operation in
the same frequency band .the first antenna of this last work at 2.4GHz .other antennas have resonance
frequency folling each with 20MHz offset this device is characterized by its original form that keeps is
highly isolated antennas from the point of view electromagnetic coupling
To meet the demands of high speed required by mobile communication of past generations ,one solution is
to increase the number of antennas to the show and the reception of the wireless link this is called MIMO
(Multiple input ,Multiple output )technology .however ,the integration of multiple antennas on the same
PCB is delicate because of the small volume that require some applications and electromagnetic antenna
between the coupling ,phenomena that we cannot neglect them .indeed a strong isolation between them has
been reached to reduce fading of the signal caused by the electromagnetic antenna reached to reduce
fading of the signal caused by the electromagnetic coupling and maximize the overall gain .in this article
we are interested then integration on the same printed circuit of eight antennas MIMO are not operation in
the same frequency band .the first antenna of this last work at 2.4GHz .other antennas have resonance
frequency folling each with 20MHz offset this device is characterized by its original form that keeps is
highly isolated antennas from the point of view electromagnetic coupling
DESIGN REALIZATION AND PERFORMANCE EVALUATION OF AN ACOUSTIC ECHO CANCELLATIO...sipij
Nowadays, in the field of communications, AEC (acoustic echo cancellation) is truly essential with respect
to the quality of multimedia transmission. In this paper, we designed and developed an efficient AEC based
on adaptive filters to improve quality of service in telecommunications against the phenomena of acoustic
echo, which is indeed a problem in hands-free communications.The main advantage of the proposed algorithm is its capacity of tracking non-stationary signals such as acoustic echo. In this work the acoustic echo cancellation (AEC) is modeled using a digital signal
processing technique especially Simulink Blocksets. The algorithm’s code is generated in Matlab Simulink
programming environment. At simulation level, results of simulink implementation prove that module
behavior is realistic when it comes to cancellation of echo in hands free communication using adaptive algorithm.Results obtained with our algorithm in terms of ERLE criteria are confronted to IUT-T recommendation
G.168.
Rolling Element Bearing Condition Monitoring using Filtered Acoustic Emission IJECEIAES
The defect present in the bearing of a rolling element may affect the performance of the rotating machinery and may reduce its efficiency. For this reason the condition monitoring of a rolling element bearing is very essential. So many measuring parameters are there to diagnose the fault in a rolling element bearing. Acoustic signature monitoring is one of them. Every rolling element bearing has its own acoustic signature when it is in healthy condition and when the bearing get defected then there is a change in its original acoustic signature. This change in acoustic signature can be monitored and analyzed to detect the fault present in the bearing. But the noise present in the acquired acoustic signal may affect the analysis. So the noisy acoustic signal must be filtered before the analysis. In this work the experiment is performed in two stages. In first stage the filtration of the acquired acoustic signal is done by employing the active noise cancellation (ANC) filtering techniques. In second stage the filtered signal is used for the further analysis. For the analysis initially the static analysis is done and then the frequency and the time-frequency analysis is done to diagnose the defect in the bearing. From all the three analysis the information about the defect present in the bearing is well detected.
LMS Adaptive Filters for Noise Cancellation: A Review IJECEIAES
This paper reviews the past and the recent research on Adaptive Filter algorithms based on adaptive noise cancellation systems. In many applications of noise cancellation, the change in signal characteristics could be quite fast which requires the utilization of adaptive algorithms that converge rapidly. Algorithms such as LMS and RLS proves to be vital in the noise cancellation are reviewed including principle and recent modifications to increase the convergence rate and reduce the computational complexity for future implementation. The purpose of this paper is not only to discuss various noise cancellation LMS algorithms but also to provide the reader with an overview of the research conducted.
In this paper, the performances of adaptive noise cancelling system employing Least Mean Square (LMS) algorithm are studied considering both white Gaussian noise (Case 1) and colored noise (Case 2)
situations. Performance is analysed with varying number of iterations, Signal to Noise Ratio (SNR) and tap size with considering Mean Square Error (MSE) as the performance measurement criteria. Results show that the noise reduction is better as well as convergence speed is faster for Case 2 as compared with Case 1. It is also observed that MSE decreases with increasing SNR with relatively faster decrease of MSE in Case 2 as compared with Case 1, and on average MSE increases linearly with increasing number of filter
coefficients for both type of noise situations. All the experiments have been done using computer
simulations implemented on MATLAB platform.
About
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
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Technical Specifications
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
Key Features
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface
• Compatible with MAFI CCR system
• Copatiable with IDM8000 CCR
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
Application
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
Explore the innovative world of trenchless pipe repair with our comprehensive guide, "The Benefits and Techniques of Trenchless Pipe Repair." This document delves into the modern methods of repairing underground pipes without the need for extensive excavation, highlighting the numerous advantages and the latest techniques used in the industry.
Learn about the cost savings, reduced environmental impact, and minimal disruption associated with trenchless technology. Discover detailed explanations of popular techniques such as pipe bursting, cured-in-place pipe (CIPP) lining, and directional drilling. Understand how these methods can be applied to various types of infrastructure, from residential plumbing to large-scale municipal systems.
Ideal for homeowners, contractors, engineers, and anyone interested in modern plumbing solutions, this guide provides valuable insights into why trenchless pipe repair is becoming the preferred choice for pipe rehabilitation. Stay informed about the latest advancements and best practices in the field.
Sachpazis:Terzaghi Bearing Capacity Estimation in simple terms with Calculati...Dr.Costas Sachpazis
Terzaghi's soil bearing capacity theory, developed by Karl Terzaghi, is a fundamental principle in geotechnical engineering used to determine the bearing capacity of shallow foundations. This theory provides a method to calculate the ultimate bearing capacity of soil, which is the maximum load per unit area that the soil can support without undergoing shear failure. The Calculation HTML Code included.
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
Overview of the fundamental roles in Hydropower generation and the components involved in wider Electrical Engineering.
This paper presents the design and construction of hydroelectric dams from the hydrologist’s survey of the valley before construction, all aspects and involved disciplines, fluid dynamics, structural engineering, generation and mains frequency regulation to the very transmission of power through the network in the United Kingdom.
Author: Robbie Edward Sayers
Collaborators and co editors: Charlie Sims and Connor Healey.
(C) 2024 Robbie E. Sayers
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
3. 9. foetal monitoring, cancelling of maternal
ECG during labour
10. Removal of ocular artifacts from electron
encephalogram by adaptive filtering
11.Application of adaptive noise cancelling
filter in AC electrical measurement
12.conclusion
8.3 acoustic echo cancelling
8.4 adaptive feedback cancellation in hearing aid
4. Overview
The goal of the equalizer is to eliminate the
inter symbol interference(ISI) and the
additive noise as much as possible.
ISI arises because of the spreading of the
transmitted pulse due to the nature of the
channel.
Equalization with filter to compensate the
distorted signal.
5. Adaptive filter or preset filter assumes
that the channel is invariant with time
and its filter coefficients are varying
with time according to the change of
channel.
8. Adaptive filters are used in
telecommunication
Radar
sonar
video/audio signal processing
Noise cancellation
9. 2.System identification
This is used to find the unknown system
response which is set parallel to adaptive filter
and both are excited by the same signal, a white
noise
Here p(z) is our unknown system and w(z)is
adaptive filter. Both are fed with x(n)
We compares the outputs d(n) and y(n).. And the
error is to be minimized.
10. • P(1) is the impulse response of the
unknown system
• Prefers white noise as input ,so it will
minimize the error because it can coincide
with the impulse response of the unknown
system.
• Best model for the unknown system is
the system whose impulse response
coincides with the N+1 first sample of the
unknown system impulse response.
11. 3.Linear predictor
Widely used in speech processing
application such as coding in cellular
telephony, speech enhancement and
speech recognition.
It estimates the value of signal in
future.
The desired signal is the forward
version of the adaptive filter input
signal ,when adaptive algorithm LMS
,converges this filter model use as
12. The output y(n)
According to LMS algorithm the
coefficients are updated
13. 4.Inverse modeling
Application in area of channel
equalization.
eg: circuit applied to modem to reduce
the channel distortion result from high
speed of the data transmission over
telephone. Here we use equalizer to
avoid the distortion which is the
inverse of the channel transfer
function
15. 5.Jammer suppresser
Used for the rejection of narrow band
interference in a direct sequence
spread spectrum receiver.
16. Using 2 jammer is used to counter act
the effect of finite correlation which
lead to the partial cancellation of the
desired signal
X(n) y(n) Estimation
of y(n)
17. 6.Adaptive notch filter
application
• Broadband signals are corrupted by the narrow band
signal interference.
Why notch
filter?
• Adaptive notch filter tracks the drifting interfering
sinusoidal signal
How it
works?
• Take signal and take the 90 phase shift of the same signal
• The centre frequency of notch filter is same as that of
primary sinusoidal noise ,so noise at this frequency
attenuated
19. 7.Noise canceller
Eliminates the background noise
• Used in mobile phones and in radio
communication
Ambient noise and output of micro
phone is compared
• Cancels out the noise for desired signal
20. Desired signal with sampling frequency
8khz and for noise is 11khz
Signals used in the noise canceller system
23. 8.Echo cancellation
applications
In air crafts,
cancel the
low frequency
noise inside
the cabin for
passenger
comfort
Active
mufflers for
engines
exhaust pipes
In the active
head phones
to cancel the
ambient
noise by
sending anti
noise
24. 8.1voice echo cancelling
This is different from data echo cancelling
due to non-stationary nature ,filter needs
large no: of co-efficients, signal bandwidth
etc.
Does speech detection and de-ionising
25. Echo canceller
monitors the
signal from
speaker b to a
Produce
replica of the
echo in a
Compares the
echo with the
original signal
Energy of the
signal is
minimised
since
coefficient of
filter is adapted
26. 8.2 Data echo cancelling
Xa(n) is send from A to B by two wire
ByB(n) from terminal B
H(z) introduces the error, y’(n)
27. Y’(n)-xA(n)= close to yB(n)
Reliable transmission occurred
No: of coefficient required for adaptive
filter is derived from echo duration.
No of coefficients N=(2D/v)fs
where D is the length of line.
v is the velocity of the electric signal
over the subscriber line
fs is the sampling frequency
30. Estimate z(n) of the feedback signal
v(n) and subtract this from
microphone signal .
Desired signal is preserved at the
input of the forward path.
Requirement is that the feedback
canceller must be adaptive
31. 9.Foetal monitoring, cancelling of
maternal ECG during labour
why?
MFECG(N)=r(n)+d(n)
AFECG=MFECG-
estimated component
• to monitor foetal heart beat
• Because electrodes placed
on mom’s abdomen is
effected by noise
• R(n):corrupted signal
• D(n):desired signal
32.
33. 10.Removal of ocular artifacts from
electron encephalogram by adaptive
filtering
An electric signal produced around our
cornea due to the movement of our eye:
EOG
This appears in EEG as noise.
Output of EEG is the primary
input
The two references are
correlated with the noise part
Output is clean EEG
34. 11. Application of adaptive filter
noise cancelling filter in AC
electrical measurement
36. Magnetic field sensor connected to 3
ADCs and 4th ADC is used to
sample the data simultaneously with the 3
axis data
Three Axis linear combiner for interference cancellation
37. 12.conclusion
Used for estimation of non stationary
signals and systems
Requires low processing delay
Distinctive feature of each application
is the way the adaptive filter i/p signal
and the desired signal are chosen.
Efficiency of the adaptive filter
depends on the used technique of
designed algorithm of adaptation