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174 MAXIMIZING THE BENEFITS OF ADAPTIVE SCANNING FOR WEATHER RADARS: THE
DEVELOPMENT OF AN ADAPTIVE WEATHER SENSING FRAMEWORK TO INVESTIGATE
THE EFFECTIVENESS OF TASK-SPECIFIC UPDATE TIME ASSIGNMENTS
Tian-You Yu1,2,3∗
, Sebastian Torres1,2,4,5
, Ricardo Reinoso-Rondinel1,2
and Damian Vigouroux1
1
School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK
2
Atmospheric Radar Research Center, University of Oklahoma, Norman, OK
3
School of Meteorology, University of Oklahoma, Norman, OK
4
Cooperative Institute for Mesoscale Meteorological Studies,
University of Oklahoma, Norman, OK.
5
National Severe Storms Laboratory, NOAA, Norman, OK
1. Introduction
The WSR-88D surveils the atmosphere by me-
chanically rotating a reflector antenna 360◦ in
azimuth at a pre-defined number of elevation
angles. These conventional sensing patterns
are known as volume coverage patterns (VCP)
(Crum and Alberty 1993), which takes 4–5 min.
for storms. However, update times of 4–5 min
may not be sufficient to detect and monitor
fast-evolving weather phenomena. One plau-
sible solution is adaptive weather sensing. In
this work, two radar functions of storm track-
ing and surveillance are considered. The goal
of adaptive weather sensing is to revisit differ-
ent storms with different and fast update times,
while the quality of the data as for conventional
sensing is maintained. The beam agility offered
by the phased array radar (PAR) is well-suited
for performing such focused observations.
A framework for adaptive weather sens-
ing is proposed to execute tasks of tracking
storm cells and weather surveillance. In or-
∗
Corresponding Author: T.-Y. Yu (tyu@ou.edu),
School of Electrical and Computer Engineering, Univer-
sity of Oklahoma, 110 W. Boyd, DEH 433, Norman, OK
73019, USA
der to schedule multiple tasks that are com-
peting for radar resources, a time balance (TB)
scheduling algorithm is proposed by Reinoso-
Rondinel et al. (2010). In addition, two qual-
ity measures are introduced to evaluate the
performance of adaptive weather sensing. In
this work, reflectivity fields observed by opera-
tional WSR-88D radars were used to simulate
high-temporal-resolution PAR observations in
order to demonstrate the feasibility of the pro-
posed framework. With these simulations, we
can demonstrate that a multifunction PAR can
adaptively scan a number of regions of interest
(storm cells) with task-specific update times.
This can be accomplished with no degrada-
tion in data quality and higher-temporal res-
olution compared to conventional radar, while
surveillance is maintained to ensure the track-
ing of developed storms and the detection of
new formations. However, the performance
of adaptive weather sensing depends on the
requested update time for each task. Opti-
mal update times were estimated by solving a
constrained optimization problem. The perfor-
mance of adaptive weather sensing using op-
timal update times is compared to that from
a simple and intuitive rule of uniform update
1
times for all the tasks.
2. Framework for adaptive
weather sensing
The framework is designed to be a close-
loop modular system, which obtains informa-
tion about the environment perceived by the
radar and dynamically adjusts its operation ac-
cordingly. The proposed framework is shown
in Figure 1, which consists of four main pro-
cesses: (1) storm cell identification, (2) storm-
cell tracking, (3) task configuration, and (4)
scheduler. Simply speaking, the process of
storm identification uses reflectivity data from
the surveillance task, detects storm cells, and
estimates their location and extent (beam cov-
erage) using imaging processing. The storm-
cell tracking process confirms the newly iden-
tified storm cells, associates the storm cells in
time, and predicts the beam coverage for future
tracking executions. The task configuration cal-
culates the time needed to execute each task,
regulates the requested update times for each
task, and determines the sensing mode. In
other words, the PAR will perform the conven-
tional volume coverage pattern if no gain from
adaptive sensing is anticipated. The process
of scheduling the requested tasks is done by
the scheduler. In this work, the TB scheduler
was used to arrange these competing tasks to
achieve the requested occupancy of each task
(Reinoso-Rondinel et al. 2010). At this point,
the information of where and when to steer the
beam has been determined.
The block depicted with dotted lines is
called the radar operation and consists of the
PAR, the display of surveillance, the display of
storm tracking, and the user inputs indicated by
the cyan, green, red, and yellow blocks respec-
tively. The PAR executes the tasks of surveil-
lance and storm tracking by steering the radar
beam to specific locations in the specified order
after receiving a sequence of scan commands
from the scheduler. A single stationary face
PAR with ±45◦ scan angles is considered. The
information about the surveillance and storm
tracking tasks are visualized by the user in two
displays. Parameters such as distance, area,
volume, and time thresholds needed by the
processes to initialize the framework are flex-
ible and can be adjusted by the user. Because
the weather environment evolves with time, it
would be convenient for the user to change the
inputs and/or outputs of the processes. Such
freedom, however, is not considered in this
work. The reflectivity obtained after the ex-
ecution of the surveillance task (using either
adaptive or conventional sensing) is sent to
the storm cell identification and the overall pro-
cess repeats again. A detailed description of
each process is provided in Reinoso-Rondinel
(2011).
3. Overview of quality measures
for adaptive weather sensing
Two quality measures are proposed by
Reinoso-Rondinel et al. (2010) to quantify
the performance of adaptive weather sensing
against conventional sensing and are briefly re-
viewed. For conventional sensing, the surveil-
lance volume and the storm cells are being re-
visited at the same rate of UC. In other words,
the update time is the same for all storms. On
the other hand, for adaptive weather sensing
each storm cell and surveillance volume can be
revisited at different rates and desirably faster
rates. Thus, the revisit improvement factor for
the jth storm is defined by Ij = UCUj
−1
, where
Uj is the update time for the jth storm. The re-
visit improvement factor represents the gain of
revisits using adaptive over conventional sens-
ing during the same period, while the data
quality and spatial sampling are maintained.
The “total” revisit improvement factor (I) for N
storms is defined by the ratio of the total num-
ber of revisits using adaptive weather sensing
over the one with conventional sensing during
a given time period. The total revisit improve-
ment factor is the average of the improvement
factors for all storms being observed, and de-
2
(1) Storm Cell
Identification
Number, centroid,
and beam coverage
of storm cells.
Sequence of tasks
for execution.
Scanning mode,
task time and
update time for
tasks.
Centroid distance,
persistence time,
confirmation time, and
azimuthal extension.
Number, label, and estimated
beam coverage of storm cells.
Pulse repetition time,
number of pulses,
azimuthal sampling, and
update times.
Display of
Tracking
Display of
Surveillance
Elevation
angle
Pulse repetition time,
number of pulses, update
times, and priorities.
Phased-Array Radar
Elevation
angle
Surveillance task
(reflectivity)
Tracking task
(storm cell reflectivity)
Reflectivity, area, and
volume thresholds.
User
Radar Operation
(2) Storm-Cell
Tracking
(3) Task Configuration
(4) Scheduler
Figure 1: A block diagram of the closed-loop modular framework for adaptive weather sensing with
four main processes: (1) storm cell identification, (2) storm-cell tracking, (3) task configuration, and
(4) scheduler. The radar operation outlined by the dashed lines includes the PAR, the display of
surveillance and tracking tasks, and the user inputs that are represented by the cyan, green, red,
and yellow blocks, respectively.
pends on the number of cells and their update
times. Improvement factors larger than 1 mean
that adaptive sensing obtains more storm re-
visits than conventional sensing in an average
sense.
If a radar dedicates too much time to one
or a few of the tasks, other tasks may be sig-
nificantly delayed. Thus, the acquisition time
(A) is defined as the minimum time needed to
execute each task at least once in the context
of adaptive weather sensing. For example, if
the radar is dedicated to tracking storms (i.e.,
the total tracking occupancy is high), the acqui-
sition time will be determined by the comple-
tion of the surveillance task. In other words,
within the acquisition time, tracking tasks may
be executed multiple times. It is shown in
Reinoso-Rondinel et al. (2010) that the acqui-
sition time is determined by the largest update
times among the surveillance and all the track-
ing tasks.
4. Optimal update times for
tracking tasks
Requested update times are needed in the pro-
cess of task configuration and subsequently
the TB scheduler will schedule these tasks
based on the requested update times for storm
cells. If one or more storm cells are of interest,
it is natural to assign fast update time to them
to revisit them frequently. It is also important to
design an automatic way to assign the update
times of storm tracking tasks so that the total
revisit improvement factor is maximized with-
out exceeding a given acquisition time thresh-
old. This can serve as a reference to the user
about the optimal update times when no storm
cells are of particular interest. As the size of
storm cells increases or decreases, or some
enter the radar’s field of view and others exit it,
the requested update times need to adapt so
that the sum of storm tracking and surveillance
occupancies reach 100%; i.e., the radar is fully
loaded. The problem of assigning update times
3
for adaptive weather sensing is discussed next.
In this work, the optimization problem is
formulated as follows. Given the task times
of each storm tracking and surveillance task,
what is the requested update time set U =
{U1, U2, ...UN , US} for tracking and surveillance
tasks such that the revisit improvement factor
is maximized without exceeding an acquisition
time threshold while maintaining a fully loaded
radar?
max
U
I subject to A ≤ Ath and OT +OS = 100%,
(1)
where Ath is the acquisition time threshold, i.e.,
the maximum value allowed for any Ui. In
this work, the maximum Ui was set equal to
UC=67 s and therefore, Ath = UC. If UC were
much larger than 60 s, setting Ath = UC would
not longer be acceptable because the storm-
cell tracking process assumed nominal update
times of 60 s to predict the storm location and
coverage for the next scan. In this case, ei-
ther Ath should be set to a value less than UC
or the storm tracking parameters would need to
be redetermined. Note that I, A, OT , and OS all
depend on update times and therefore, (1) is a
constrained, N + 1 dimensional, non-linear op-
timization problem. The optimal update times
are obtained by solving (1) in the process of
task configuration every time when the informa-
tion of task times is updated. This method of
assigning update times is termed optimal ap-
proach.
5. Demonstration and Verifica-
tion
a. Data Cases for Simulation of Adaptive
Weather Observations
Presently, the PAR at the National Weather
Radar Testbed (NWRT) is not able to fully im-
plement the proposed adaptive framework in
real time. Thus, simulated observations from
the archived WSR-88D data were used to test
and verify the proposed framework for vari-
ous weather scenarios. Although archived PAR
cases with fast update times would be more
suitable, the available types of storm environ-
ments were limited at the time we performed
the analysis.
Table 1 illustrates the archived data cases
from 4 WSR-88D radars that were used to
test the adaptive weather sensing framework.
These data cases were selected because they
have been used in the literatures (e.g., Stumpf
et al. 1998; Witt et al. 1998) to evaluate the per-
formance of WSR-88D algorithms for hail, tor-
nado, and mesocyclone detection. These se-
lected data cases are not intended to compre-
hensively cover many events of weather phe-
nomena. Nevertheless, it includes a variety
of cases such as isolated supercells, minisu-
percells, tornadic, and squall line storms dur-
ing the time periods described in Table 1. The
WSR-88D reflectivity data at each elevation
angle was linearly interpolated in time (gate-
by-gate) to artificially obtain PAR observations
with higher temporal resolution.
b. Demonstration
The data case observed by the KTLX radar on
May 04 1999 during 0040 - 0320 UTC is used
to demonstrate the adaptive weather sensing
framework. First of all, the association of storm
cells for a merging case is shown in Figure 2.
At 0211 UTC, cells 1, 2, and 4 remained within
the radar view, and their centroids are depicted
on panel a) by the cyan, green, and light orange
asterisks, respectively. In addition, a small cell
was detected southwest of cell 2 and the pro-
cess of confirmation begins. At 0212 UTC,
cells 1 and 2 were connected at higher eleva-
tions and the storm identification process iden-
tified them as one cluster. Because the cen-
troid of this cluster could not be associated with
the centroid of neither cell 1 or cell 2, the pro-
cess of confirmation for this new cluster began.
Moreover, the process of persistence was ini-
tiated for cells 1 and 2 as shown on panel b).
One minute later, at 0213 UTC, cells 1 and 2
were still being considered as two separated
4
Table 1: WSR-88D reflectivity data used to demonstrate the framework for adaptive weather sens-
ing. Radar names are as follows: KTLX in Twin Lakes, OK; KMLB in Melbourne, FL; KOKX in New
York City, NY; and KGLD in Goodland, KS. The WSR-88D radars used VCP 11.
Radar Date Period (UTC) Storm Type
KTLX 1992 02 12 0410 - 0610 multicells
KTLX 1992 06 18 1840 - 2220 multicells with low-topped minisupercells
KTLX 1994 02 21 1950 - 2200 multicells
KTLX 1999 05 04 0002 - 0420 multicells with isolated supercells
KTLX 2003 04 19 2010 - 2250 multicells with isolated supercells
KTLX 2003 05 10 1700 - 2020 multicells and squall line
KTLX 2003 05 16 1720 - 1940 tornadoes along leading edge of squall line
KTLX 2003 05 19 2218 - 2345 multicells with isolated supercells
KMLB 1992 06 02 1810 - 2010 multicells with minisupercells
KMLB 1992 06 12 1920 - 2300 supercells (near range), isolated supercells
KOKX 1995 06 20 1910 - 2050 multicells with isolated supercells
KGLD 1995 05 12 0003 - 0145 multicells with high precipitation supercells
c) d)
g) h)
a) b)
e) f)
Cell 1
Cell 2
Cell 4
Cell 1
Cell 2
Cell 4
Cell 1
Cell 2
Cell 4
Cell 5 Cell 5
Cell 6
Cell 4
Cell 5
Cell 6
Cell 4
Cell 5
Cell 6
Cell 4
Cell 6
Cell 4
Cell 6
Cell 4
E-W (km) E-W (km) E-W (km) E-W (km)
N-S(km)N-S(km)
N = 3, T = 02:11:15 UTC N = 3, T = 02:12:00 UTC N = 4, T = 02:13:25 UTC N = 3, T = 02:14:14 UTC
N = 3, T = 02:16:33 UTC N = 3, T = 02:19:27 UTC N = 2, T = 02:21:21 UTC N = 2, T = 02:24:29 UTC
Figure 2: Association during the merging of storm cells. At 0211 UTC, three cells are defined
and labeled as cells 1, 2, and 4 as shown on panel a). Storm cells at 0212 UTC are associated
with these at 0211 UTC and are shown on panel b). At 0213 UTC a new cell is confirmed and is
labeled as cell 5 (panel c). One minute later, cells 1 and 2 merged and created a new cell, cell 6
as shown on panel d). Cells 4, 5, and 6 continued to develop as shown on panels e) and f). At
0221 UTC, cell 5 merged with cell 6 (panel g). Finally, the storm cells at 0224 UTC are associated
with cells at 0221 UTC (panel h).
5
clusters, while the small cell detected at 0211
UTC was now confirmed as a new cell, cell 5
(panel c). Cell 4 continued developing. At 0214
UTC, the cluster obtained by the merging of
cells 1 and 2 was confirmed, producing a new
cell (cell 6), while the persistence of cells 1 and
2 was terminated (panel d). From 0214 to 0216
UTC, a smooth transition of storm cells can be
observed in panel e). At 0219 UTC, cell 5 could
not be associated with cells 4 or 6 because it is
now part of cell 6. As a result, the process of
persistence for cell 5 began, as shown on panel
f). Two minutes later, at 0221 UTC, the persis-
tence process for cell 5 was terminated, so cell
5 became a part of cell 6, as shown on panel
g). This merging process is different from the
one that happened at 0214 UTC in which cells
1 and 2 could not be associated with the new
cluster involving them. Thus, they merged and
created the storm cell 6. On the other hand,
when cells 5 and 6 were defined as one clus-
ter, cell 6 was associated to that cluster. As
a result, the merging of cells 5 and 6 did not
create a new cluster. At 0224 UTC, the reflec-
tivity components of cell 6 look more connected
while cell 4 starts to decay as shown on panel
h).
The established track of storm centroids
from 0040 UTC to 0320 UTC is shown in Fig-
ure 3. A total of thirteen storm cells were iden-
tified and associated during the simulation pe-
riod. For this data case, the long tracks gener-
ally occurred for the cells having an area and
volume considerable larger than the thresh-
olds. Also, storm cells with large reflectivity val-
ues contribute to develop long displacements
because they keep converging and evolving.
On the other hand, storm cells with short tracks
can be due to one or more of the following rea-
sons. First, the displacement of cells could
be short because the time from the moment
cells were defined until they merged is short.
Second, the location of defined cells could be
close to the boundaries of the radar scene. Fi-
nally, short displacements could occur simply
because storm cells decay rapidly (not includ-
ing the case of merging).
Storm Centroid Displacement
Cell 1
Cell 2
Cell 3
Cell 6
Cell 5
Cell 7
Cell 8
Cell 10
Cell 12
Cell 13
Cell 9
Cell 11
Cell 4
E-W (km)
N-S(km)
Figure 3: Storm centroid displacement dur-
ing the period of 0040 - 0320 UTC. Thirteen
cells were defined within the radar scene. The
centroid displacement of each cell is repre-
sented by an asterisk mark using thirteen col-
ors. The centroid of each cell is labeled as cells
1 through 13. It is apparent that the storm cells
were moving northeasterly.
The theoretical acquisition time and total
revisit improvement factor for this case are
shown in the panels a) and b) of Figure 4, re-
spectively. The quality measures from the opti-
00:40 01:00 01:20 01:40 02:00 02:20 02:40 03:00 03:20
30
40
50
60
70
80
90
100
110
Time (UTC)
A(s)
00:40 01:00 01:20 01:40 02:00 02:20 02:40 03:00 03:20
0
2
4
6
8
Time (UTC)
I
Optimum Approach
Uniform U
Optimum Approach
Uniform U
a)
b)
Figure 4: The theoretical acquisition time and
the revisit improvement factor are shown on
panel a) and b), respectively. Quality measures
from the optimum approach and uniform up-
date time criterion are denoted by the red and
cyan dashed lines, respectively.
mum approach for assigning update times are
6
denoted by red dashed lines. In addition, a
simple method of assigning updates times was
also employed, where the update times for all
tracking tasks are equal and the radar is fully
loaded. This is termed uniform update time cri-
terion and the resulted improvement factor and
acquisition time are denoted by cyan dashed
lines. As can be seen on panel a), the acqui-
sition times for the optimum approach and uni-
form update time criterion are the same as the
surveillance update time US = 67 s. Since the
acquisition time was defined as the maximum
update time among storm tracking and surveil-
lance tasks, the maximum update time is deter-
mined by the surveillance task.
It is clear from Figure 4 that the adaptive
weather sensing framework can provide revis-
its of storms at a higher rate comparing to con-
ventional sensing for most of times. The impact
of update times is evident that optimum ap-
proach often produces the total revisit improve-
ment factor between two and four comparing
to the improvement factor of approximately two
from the uniform update time criterion. For ex-
ample, at 0130 UTC, the optimum approach
achieves the highest revisit improvement fac-
tor, when the three storm cells were identified
with task times of T1 = 20 s, T5 = 13 s, and T6
= 1.5 s, respectively. Update times of the three
cells assigned by the optimum approach were
U1 = 67 s, U5 = 67 s, and U6 = 3.3 s, respec-
tively. Note that the smallest update time is as-
signed to storm cell 6, which has the smallest
task time. In other words, the revisit improve-
ment factor for storm cell 6 with smallest size is
as high as approximately 20. As a result, the
total revisit improvement factor is 7.4. For the
uniform update time criterion, the update time
assigned to each storm cell is 39 s, which re-
sults the total revisit improvement factor of only
two.
It is interesting to point that the optimum
approach has the tendency to assign small
update times for smaller cells. This can be
demonstrated by examining the case of two
storm cells. The total revisit improvement fac-
tor can be derived in the following form base on
the constrains of 100% total occupancy.
I = I1
T2 − T1
2T2
+
OT UC
2T2
(2)
where T1 and T2 are the given task times for
cells 1 and 2, and I1 is the revisit improvement
factor for cell 1. Let’s assume that cell 1 is
the larger storm (i.e., T2 − T1 < 0). Note that
we currently require the maximum update time
for each task not to be larger than the update
time for conventional sensing (UC), which re-
sults in the minimum improvement factor of I1
to be one. It can be observed from (2) that I
is a linear function of I1 and has a maximum
value of T2−T1
2T2
+ OT UC
2T2
at I1 = 1. It is the
reason why the optimum approach produces
the improvement factor of one for the larger
storm, while maximizing the improvement fac-
tor for the other smaller storm. In other words,
the large storm will be revisited at a rate of con-
ventional sensing, while the smaller storm will
be revisited as frequently as the constrains are
not violated. This might be mitigated if a dif-
ferent quality measure from the total revisit im-
provement factor is used. Furthermore, it can
be observed from (2) that if the task times for
both cells are equal (T1 = T2 = T), the total im-
provement factor is determined by I = OT UC
2T
and is only a function of task time. Conse-
quently, the optimum approach often selects
U1 = U2 in this case.
We have examined the cases of two storm
cells during the time intervals of 0230-0245 and
0250-0308 UTC from the optimum approach. A
scattering plot of the total revisit improvement
factor (I) multiplied by the task time for smaller
cell (T2) and the task time difference (T1 − T2)
is shown in Figure 5. Note that during both in-
tervals only two storm cell are identified. The
linear relationship between IT2 and T1 − T2,
as indicates in (2), is clearly shown. In other
words, the larger storm maintains improvement
factor of one while for the other cell, the smaller
the cell the larger the improvement factor is ob-
tained.
7
Figure 5: Total revisit improvement factors from
the optimum approach as a function of the task
time difference. The x axis represents the task
time difference between storm cells 10 and 11
over the time intervals of 0230-0245 and 0250-
0308 UTC, approximately. The y axis repre-
sents the total revisit improvement factors from
the optimum approach multiplied by T2 during
both time intervals.
c. Statistical Analysis
It is of interest to investigate how the adap-
tive weather sensing performs during different
storm environments. First, we classified the
storm environments based on the number of
storm cells and their total coverage. The storm
coverage is divided into nine intervals as shown
in Table 2, where the coverage indexes and
Table 2: Storm coverage intervals.
Coverage Index Coverage Interval (%)
C1 ( 0, 17)
C2 [17, 28)
C3 [28, 39)
C4 [39, 50)
C5 [50, 61)
C6 [61, 72)
C7 [72, 83)
C8 [83, 92]
C9 > 92
coverage intervals of storm cells are given on
the left and right columns, respectively. Be-
cause the conventional sensing mode is trig-
gered if the sum of the tracking and surveil-
lance task times is larger than UC, the max-
imum sum of task times for tracking tasks is
given by UC - TS. Consequently, the max-
imum storm coverage for the adaptive sens-
ing mode is 92% so it is the upper limit of
the coverage index C8. Storm environments
with coverage larger than 92% are indicated
by the coverage index C9. The 12 archived
data cases described in Table 1 were used to
simulate the adaptive weather sensing frame-
work with the optimal approach for assigning
update times. A total of 1352 storm environ-
ment cases over the 12 data cases were ana-
lyzed. The estimated acquisition time was cal-
culated by counting the minimum time in which
all the tasks were executed at least once. The
estimated revisit improvement factor was cal-
culated by summing the number of tracking ex-
ecutions over the estimated acquisition time. It
is important to mention that both quality mea-
sures were obtained at every acquisition time
window. The resulted quality measures of es-
timated total revisit improvement factor and ac-
quisition time were grouped by the number of
storm cells and the coverage index. The num-
ber of storm environments in each group is pre-
sented in Figure 6a. The mean of total re-
visit improvement factor and acquisition time
are shown in Figure 6b and c, respectively. It
can be observed that storm environments with
more than 5 storm cells or with coverage in-
dexes larger than C7 are not observed within
the 12 data cases. It is evident that the mean
revisit improvement factor of higher than 10 can
be observed for smaller coverage (C1). The im-
provement of revisits decreases as the cover-
age increases. The dependence of storm num-
bers for the revisit improvement factor is not ap-
parent. The mean of revisit improvement fac-
tor over 1352 storm environments is approxi-
mately 4.3. Moreover, the mean of acquisition
time over all storm environment classes is ap-
proximately 70 s, which approximately agrees
the value of UC = 67 s. The standard deviation
of acquisition time is 7.7 s. Acquisition times
larger or smaller than 70 s could happen dur-
8
C1 C2 C3 C4 C5 C6 C7 C8
1
2
3
4
5
6
C (%)
N
(a) # of storm environmebts
20
40
60
80
100
120
140
160
180
200
C1 C2 C3 C4 C5 C6 C7 C8
1
2
3
4
5
6
C (%)
N
(b) Mean(I)
1
2
3
4
5
6
7
8
9
10
C1 C2 C3 C4 C5 C6 C7 C8
1
2
3
4
5
6
C (%)
N
(c) Mean(A)
55
60
65
70
75
80
85
Figure 6: Panel a), number of cases for each storm environment class classified by the coverage
index and number of storm cells. Panel b), average revisit improvement factors over each storm
environment class. Panel c), average acquisition times over each storm environment class.
ing periods when storm cells entered to or exit
the radar view, which caused TB scheduler to
lose balance.
6. Summary and conclusions
In summary, an adaptive weather sensing
framework was developed and demonstrated.
An approach was designed to automatically as-
sign update times to maximize the benefits of
adaptive weather sensing. Moreover, the per-
formance of such approach was analyzed us-
ing simulation of 12 data cases, which covers a
range of different weather events. Statistical re-
sults have shown that the adaptive sensing with
optimum approach can revisit storm cells 4.3
times more often than using conventional sens-
ing while keeping the acquisition time near 70
s. It is important to highlight that during the sim-
ulations of the adaptive weather sensing frame-
work, the quality of the data over storm regions
were the same as with conventional sensing.
Acknowledgement This work was primarily
supported by NOAA/NSSL under Cooperative
Agreement NA17RJ1227.
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9

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Maximizing Benefits of Adaptive Weather Radar Scanning

  • 1. 174 MAXIMIZING THE BENEFITS OF ADAPTIVE SCANNING FOR WEATHER RADARS: THE DEVELOPMENT OF AN ADAPTIVE WEATHER SENSING FRAMEWORK TO INVESTIGATE THE EFFECTIVENESS OF TASK-SPECIFIC UPDATE TIME ASSIGNMENTS Tian-You Yu1,2,3∗ , Sebastian Torres1,2,4,5 , Ricardo Reinoso-Rondinel1,2 and Damian Vigouroux1 1 School of Electrical and Computer Engineering, University of Oklahoma, Norman, OK 2 Atmospheric Radar Research Center, University of Oklahoma, Norman, OK 3 School of Meteorology, University of Oklahoma, Norman, OK 4 Cooperative Institute for Mesoscale Meteorological Studies, University of Oklahoma, Norman, OK. 5 National Severe Storms Laboratory, NOAA, Norman, OK 1. Introduction The WSR-88D surveils the atmosphere by me- chanically rotating a reflector antenna 360◦ in azimuth at a pre-defined number of elevation angles. These conventional sensing patterns are known as volume coverage patterns (VCP) (Crum and Alberty 1993), which takes 4–5 min. for storms. However, update times of 4–5 min may not be sufficient to detect and monitor fast-evolving weather phenomena. One plau- sible solution is adaptive weather sensing. In this work, two radar functions of storm track- ing and surveillance are considered. The goal of adaptive weather sensing is to revisit differ- ent storms with different and fast update times, while the quality of the data as for conventional sensing is maintained. The beam agility offered by the phased array radar (PAR) is well-suited for performing such focused observations. A framework for adaptive weather sens- ing is proposed to execute tasks of tracking storm cells and weather surveillance. In or- ∗ Corresponding Author: T.-Y. Yu (tyu@ou.edu), School of Electrical and Computer Engineering, Univer- sity of Oklahoma, 110 W. Boyd, DEH 433, Norman, OK 73019, USA der to schedule multiple tasks that are com- peting for radar resources, a time balance (TB) scheduling algorithm is proposed by Reinoso- Rondinel et al. (2010). In addition, two qual- ity measures are introduced to evaluate the performance of adaptive weather sensing. In this work, reflectivity fields observed by opera- tional WSR-88D radars were used to simulate high-temporal-resolution PAR observations in order to demonstrate the feasibility of the pro- posed framework. With these simulations, we can demonstrate that a multifunction PAR can adaptively scan a number of regions of interest (storm cells) with task-specific update times. This can be accomplished with no degrada- tion in data quality and higher-temporal res- olution compared to conventional radar, while surveillance is maintained to ensure the track- ing of developed storms and the detection of new formations. However, the performance of adaptive weather sensing depends on the requested update time for each task. Opti- mal update times were estimated by solving a constrained optimization problem. The perfor- mance of adaptive weather sensing using op- timal update times is compared to that from a simple and intuitive rule of uniform update 1
  • 2. times for all the tasks. 2. Framework for adaptive weather sensing The framework is designed to be a close- loop modular system, which obtains informa- tion about the environment perceived by the radar and dynamically adjusts its operation ac- cordingly. The proposed framework is shown in Figure 1, which consists of four main pro- cesses: (1) storm cell identification, (2) storm- cell tracking, (3) task configuration, and (4) scheduler. Simply speaking, the process of storm identification uses reflectivity data from the surveillance task, detects storm cells, and estimates their location and extent (beam cov- erage) using imaging processing. The storm- cell tracking process confirms the newly iden- tified storm cells, associates the storm cells in time, and predicts the beam coverage for future tracking executions. The task configuration cal- culates the time needed to execute each task, regulates the requested update times for each task, and determines the sensing mode. In other words, the PAR will perform the conven- tional volume coverage pattern if no gain from adaptive sensing is anticipated. The process of scheduling the requested tasks is done by the scheduler. In this work, the TB scheduler was used to arrange these competing tasks to achieve the requested occupancy of each task (Reinoso-Rondinel et al. 2010). At this point, the information of where and when to steer the beam has been determined. The block depicted with dotted lines is called the radar operation and consists of the PAR, the display of surveillance, the display of storm tracking, and the user inputs indicated by the cyan, green, red, and yellow blocks respec- tively. The PAR executes the tasks of surveil- lance and storm tracking by steering the radar beam to specific locations in the specified order after receiving a sequence of scan commands from the scheduler. A single stationary face PAR with ±45◦ scan angles is considered. The information about the surveillance and storm tracking tasks are visualized by the user in two displays. Parameters such as distance, area, volume, and time thresholds needed by the processes to initialize the framework are flex- ible and can be adjusted by the user. Because the weather environment evolves with time, it would be convenient for the user to change the inputs and/or outputs of the processes. Such freedom, however, is not considered in this work. The reflectivity obtained after the ex- ecution of the surveillance task (using either adaptive or conventional sensing) is sent to the storm cell identification and the overall pro- cess repeats again. A detailed description of each process is provided in Reinoso-Rondinel (2011). 3. Overview of quality measures for adaptive weather sensing Two quality measures are proposed by Reinoso-Rondinel et al. (2010) to quantify the performance of adaptive weather sensing against conventional sensing and are briefly re- viewed. For conventional sensing, the surveil- lance volume and the storm cells are being re- visited at the same rate of UC. In other words, the update time is the same for all storms. On the other hand, for adaptive weather sensing each storm cell and surveillance volume can be revisited at different rates and desirably faster rates. Thus, the revisit improvement factor for the jth storm is defined by Ij = UCUj −1 , where Uj is the update time for the jth storm. The re- visit improvement factor represents the gain of revisits using adaptive over conventional sens- ing during the same period, while the data quality and spatial sampling are maintained. The “total” revisit improvement factor (I) for N storms is defined by the ratio of the total num- ber of revisits using adaptive weather sensing over the one with conventional sensing during a given time period. The total revisit improve- ment factor is the average of the improvement factors for all storms being observed, and de- 2
  • 3. (1) Storm Cell Identification Number, centroid, and beam coverage of storm cells. Sequence of tasks for execution. Scanning mode, task time and update time for tasks. Centroid distance, persistence time, confirmation time, and azimuthal extension. Number, label, and estimated beam coverage of storm cells. Pulse repetition time, number of pulses, azimuthal sampling, and update times. Display of Tracking Display of Surveillance Elevation angle Pulse repetition time, number of pulses, update times, and priorities. Phased-Array Radar Elevation angle Surveillance task (reflectivity) Tracking task (storm cell reflectivity) Reflectivity, area, and volume thresholds. User Radar Operation (2) Storm-Cell Tracking (3) Task Configuration (4) Scheduler Figure 1: A block diagram of the closed-loop modular framework for adaptive weather sensing with four main processes: (1) storm cell identification, (2) storm-cell tracking, (3) task configuration, and (4) scheduler. The radar operation outlined by the dashed lines includes the PAR, the display of surveillance and tracking tasks, and the user inputs that are represented by the cyan, green, red, and yellow blocks, respectively. pends on the number of cells and their update times. Improvement factors larger than 1 mean that adaptive sensing obtains more storm re- visits than conventional sensing in an average sense. If a radar dedicates too much time to one or a few of the tasks, other tasks may be sig- nificantly delayed. Thus, the acquisition time (A) is defined as the minimum time needed to execute each task at least once in the context of adaptive weather sensing. For example, if the radar is dedicated to tracking storms (i.e., the total tracking occupancy is high), the acqui- sition time will be determined by the comple- tion of the surveillance task. In other words, within the acquisition time, tracking tasks may be executed multiple times. It is shown in Reinoso-Rondinel et al. (2010) that the acqui- sition time is determined by the largest update times among the surveillance and all the track- ing tasks. 4. Optimal update times for tracking tasks Requested update times are needed in the pro- cess of task configuration and subsequently the TB scheduler will schedule these tasks based on the requested update times for storm cells. If one or more storm cells are of interest, it is natural to assign fast update time to them to revisit them frequently. It is also important to design an automatic way to assign the update times of storm tracking tasks so that the total revisit improvement factor is maximized with- out exceeding a given acquisition time thresh- old. This can serve as a reference to the user about the optimal update times when no storm cells are of particular interest. As the size of storm cells increases or decreases, or some enter the radar’s field of view and others exit it, the requested update times need to adapt so that the sum of storm tracking and surveillance occupancies reach 100%; i.e., the radar is fully loaded. The problem of assigning update times 3
  • 4. for adaptive weather sensing is discussed next. In this work, the optimization problem is formulated as follows. Given the task times of each storm tracking and surveillance task, what is the requested update time set U = {U1, U2, ...UN , US} for tracking and surveillance tasks such that the revisit improvement factor is maximized without exceeding an acquisition time threshold while maintaining a fully loaded radar? max U I subject to A ≤ Ath and OT +OS = 100%, (1) where Ath is the acquisition time threshold, i.e., the maximum value allowed for any Ui. In this work, the maximum Ui was set equal to UC=67 s and therefore, Ath = UC. If UC were much larger than 60 s, setting Ath = UC would not longer be acceptable because the storm- cell tracking process assumed nominal update times of 60 s to predict the storm location and coverage for the next scan. In this case, ei- ther Ath should be set to a value less than UC or the storm tracking parameters would need to be redetermined. Note that I, A, OT , and OS all depend on update times and therefore, (1) is a constrained, N + 1 dimensional, non-linear op- timization problem. The optimal update times are obtained by solving (1) in the process of task configuration every time when the informa- tion of task times is updated. This method of assigning update times is termed optimal ap- proach. 5. Demonstration and Verifica- tion a. Data Cases for Simulation of Adaptive Weather Observations Presently, the PAR at the National Weather Radar Testbed (NWRT) is not able to fully im- plement the proposed adaptive framework in real time. Thus, simulated observations from the archived WSR-88D data were used to test and verify the proposed framework for vari- ous weather scenarios. Although archived PAR cases with fast update times would be more suitable, the available types of storm environ- ments were limited at the time we performed the analysis. Table 1 illustrates the archived data cases from 4 WSR-88D radars that were used to test the adaptive weather sensing framework. These data cases were selected because they have been used in the literatures (e.g., Stumpf et al. 1998; Witt et al. 1998) to evaluate the per- formance of WSR-88D algorithms for hail, tor- nado, and mesocyclone detection. These se- lected data cases are not intended to compre- hensively cover many events of weather phe- nomena. Nevertheless, it includes a variety of cases such as isolated supercells, minisu- percells, tornadic, and squall line storms dur- ing the time periods described in Table 1. The WSR-88D reflectivity data at each elevation angle was linearly interpolated in time (gate- by-gate) to artificially obtain PAR observations with higher temporal resolution. b. Demonstration The data case observed by the KTLX radar on May 04 1999 during 0040 - 0320 UTC is used to demonstrate the adaptive weather sensing framework. First of all, the association of storm cells for a merging case is shown in Figure 2. At 0211 UTC, cells 1, 2, and 4 remained within the radar view, and their centroids are depicted on panel a) by the cyan, green, and light orange asterisks, respectively. In addition, a small cell was detected southwest of cell 2 and the pro- cess of confirmation begins. At 0212 UTC, cells 1 and 2 were connected at higher eleva- tions and the storm identification process iden- tified them as one cluster. Because the cen- troid of this cluster could not be associated with the centroid of neither cell 1 or cell 2, the pro- cess of confirmation for this new cluster began. Moreover, the process of persistence was ini- tiated for cells 1 and 2 as shown on panel b). One minute later, at 0213 UTC, cells 1 and 2 were still being considered as two separated 4
  • 5. Table 1: WSR-88D reflectivity data used to demonstrate the framework for adaptive weather sens- ing. Radar names are as follows: KTLX in Twin Lakes, OK; KMLB in Melbourne, FL; KOKX in New York City, NY; and KGLD in Goodland, KS. The WSR-88D radars used VCP 11. Radar Date Period (UTC) Storm Type KTLX 1992 02 12 0410 - 0610 multicells KTLX 1992 06 18 1840 - 2220 multicells with low-topped minisupercells KTLX 1994 02 21 1950 - 2200 multicells KTLX 1999 05 04 0002 - 0420 multicells with isolated supercells KTLX 2003 04 19 2010 - 2250 multicells with isolated supercells KTLX 2003 05 10 1700 - 2020 multicells and squall line KTLX 2003 05 16 1720 - 1940 tornadoes along leading edge of squall line KTLX 2003 05 19 2218 - 2345 multicells with isolated supercells KMLB 1992 06 02 1810 - 2010 multicells with minisupercells KMLB 1992 06 12 1920 - 2300 supercells (near range), isolated supercells KOKX 1995 06 20 1910 - 2050 multicells with isolated supercells KGLD 1995 05 12 0003 - 0145 multicells with high precipitation supercells c) d) g) h) a) b) e) f) Cell 1 Cell 2 Cell 4 Cell 1 Cell 2 Cell 4 Cell 1 Cell 2 Cell 4 Cell 5 Cell 5 Cell 6 Cell 4 Cell 5 Cell 6 Cell 4 Cell 5 Cell 6 Cell 4 Cell 6 Cell 4 Cell 6 Cell 4 E-W (km) E-W (km) E-W (km) E-W (km) N-S(km)N-S(km) N = 3, T = 02:11:15 UTC N = 3, T = 02:12:00 UTC N = 4, T = 02:13:25 UTC N = 3, T = 02:14:14 UTC N = 3, T = 02:16:33 UTC N = 3, T = 02:19:27 UTC N = 2, T = 02:21:21 UTC N = 2, T = 02:24:29 UTC Figure 2: Association during the merging of storm cells. At 0211 UTC, three cells are defined and labeled as cells 1, 2, and 4 as shown on panel a). Storm cells at 0212 UTC are associated with these at 0211 UTC and are shown on panel b). At 0213 UTC a new cell is confirmed and is labeled as cell 5 (panel c). One minute later, cells 1 and 2 merged and created a new cell, cell 6 as shown on panel d). Cells 4, 5, and 6 continued to develop as shown on panels e) and f). At 0221 UTC, cell 5 merged with cell 6 (panel g). Finally, the storm cells at 0224 UTC are associated with cells at 0221 UTC (panel h). 5
  • 6. clusters, while the small cell detected at 0211 UTC was now confirmed as a new cell, cell 5 (panel c). Cell 4 continued developing. At 0214 UTC, the cluster obtained by the merging of cells 1 and 2 was confirmed, producing a new cell (cell 6), while the persistence of cells 1 and 2 was terminated (panel d). From 0214 to 0216 UTC, a smooth transition of storm cells can be observed in panel e). At 0219 UTC, cell 5 could not be associated with cells 4 or 6 because it is now part of cell 6. As a result, the process of persistence for cell 5 began, as shown on panel f). Two minutes later, at 0221 UTC, the persis- tence process for cell 5 was terminated, so cell 5 became a part of cell 6, as shown on panel g). This merging process is different from the one that happened at 0214 UTC in which cells 1 and 2 could not be associated with the new cluster involving them. Thus, they merged and created the storm cell 6. On the other hand, when cells 5 and 6 were defined as one clus- ter, cell 6 was associated to that cluster. As a result, the merging of cells 5 and 6 did not create a new cluster. At 0224 UTC, the reflec- tivity components of cell 6 look more connected while cell 4 starts to decay as shown on panel h). The established track of storm centroids from 0040 UTC to 0320 UTC is shown in Fig- ure 3. A total of thirteen storm cells were iden- tified and associated during the simulation pe- riod. For this data case, the long tracks gener- ally occurred for the cells having an area and volume considerable larger than the thresh- olds. Also, storm cells with large reflectivity val- ues contribute to develop long displacements because they keep converging and evolving. On the other hand, storm cells with short tracks can be due to one or more of the following rea- sons. First, the displacement of cells could be short because the time from the moment cells were defined until they merged is short. Second, the location of defined cells could be close to the boundaries of the radar scene. Fi- nally, short displacements could occur simply because storm cells decay rapidly (not includ- ing the case of merging). Storm Centroid Displacement Cell 1 Cell 2 Cell 3 Cell 6 Cell 5 Cell 7 Cell 8 Cell 10 Cell 12 Cell 13 Cell 9 Cell 11 Cell 4 E-W (km) N-S(km) Figure 3: Storm centroid displacement dur- ing the period of 0040 - 0320 UTC. Thirteen cells were defined within the radar scene. The centroid displacement of each cell is repre- sented by an asterisk mark using thirteen col- ors. The centroid of each cell is labeled as cells 1 through 13. It is apparent that the storm cells were moving northeasterly. The theoretical acquisition time and total revisit improvement factor for this case are shown in the panels a) and b) of Figure 4, re- spectively. The quality measures from the opti- 00:40 01:00 01:20 01:40 02:00 02:20 02:40 03:00 03:20 30 40 50 60 70 80 90 100 110 Time (UTC) A(s) 00:40 01:00 01:20 01:40 02:00 02:20 02:40 03:00 03:20 0 2 4 6 8 Time (UTC) I Optimum Approach Uniform U Optimum Approach Uniform U a) b) Figure 4: The theoretical acquisition time and the revisit improvement factor are shown on panel a) and b), respectively. Quality measures from the optimum approach and uniform up- date time criterion are denoted by the red and cyan dashed lines, respectively. mum approach for assigning update times are 6
  • 7. denoted by red dashed lines. In addition, a simple method of assigning updates times was also employed, where the update times for all tracking tasks are equal and the radar is fully loaded. This is termed uniform update time cri- terion and the resulted improvement factor and acquisition time are denoted by cyan dashed lines. As can be seen on panel a), the acqui- sition times for the optimum approach and uni- form update time criterion are the same as the surveillance update time US = 67 s. Since the acquisition time was defined as the maximum update time among storm tracking and surveil- lance tasks, the maximum update time is deter- mined by the surveillance task. It is clear from Figure 4 that the adaptive weather sensing framework can provide revis- its of storms at a higher rate comparing to con- ventional sensing for most of times. The impact of update times is evident that optimum ap- proach often produces the total revisit improve- ment factor between two and four comparing to the improvement factor of approximately two from the uniform update time criterion. For ex- ample, at 0130 UTC, the optimum approach achieves the highest revisit improvement fac- tor, when the three storm cells were identified with task times of T1 = 20 s, T5 = 13 s, and T6 = 1.5 s, respectively. Update times of the three cells assigned by the optimum approach were U1 = 67 s, U5 = 67 s, and U6 = 3.3 s, respec- tively. Note that the smallest update time is as- signed to storm cell 6, which has the smallest task time. In other words, the revisit improve- ment factor for storm cell 6 with smallest size is as high as approximately 20. As a result, the total revisit improvement factor is 7.4. For the uniform update time criterion, the update time assigned to each storm cell is 39 s, which re- sults the total revisit improvement factor of only two. It is interesting to point that the optimum approach has the tendency to assign small update times for smaller cells. This can be demonstrated by examining the case of two storm cells. The total revisit improvement fac- tor can be derived in the following form base on the constrains of 100% total occupancy. I = I1 T2 − T1 2T2 + OT UC 2T2 (2) where T1 and T2 are the given task times for cells 1 and 2, and I1 is the revisit improvement factor for cell 1. Let’s assume that cell 1 is the larger storm (i.e., T2 − T1 < 0). Note that we currently require the maximum update time for each task not to be larger than the update time for conventional sensing (UC), which re- sults in the minimum improvement factor of I1 to be one. It can be observed from (2) that I is a linear function of I1 and has a maximum value of T2−T1 2T2 + OT UC 2T2 at I1 = 1. It is the reason why the optimum approach produces the improvement factor of one for the larger storm, while maximizing the improvement fac- tor for the other smaller storm. In other words, the large storm will be revisited at a rate of con- ventional sensing, while the smaller storm will be revisited as frequently as the constrains are not violated. This might be mitigated if a dif- ferent quality measure from the total revisit im- provement factor is used. Furthermore, it can be observed from (2) that if the task times for both cells are equal (T1 = T2 = T), the total im- provement factor is determined by I = OT UC 2T and is only a function of task time. Conse- quently, the optimum approach often selects U1 = U2 in this case. We have examined the cases of two storm cells during the time intervals of 0230-0245 and 0250-0308 UTC from the optimum approach. A scattering plot of the total revisit improvement factor (I) multiplied by the task time for smaller cell (T2) and the task time difference (T1 − T2) is shown in Figure 5. Note that during both in- tervals only two storm cell are identified. The linear relationship between IT2 and T1 − T2, as indicates in (2), is clearly shown. In other words, the larger storm maintains improvement factor of one while for the other cell, the smaller the cell the larger the improvement factor is ob- tained. 7
  • 8. Figure 5: Total revisit improvement factors from the optimum approach as a function of the task time difference. The x axis represents the task time difference between storm cells 10 and 11 over the time intervals of 0230-0245 and 0250- 0308 UTC, approximately. The y axis repre- sents the total revisit improvement factors from the optimum approach multiplied by T2 during both time intervals. c. Statistical Analysis It is of interest to investigate how the adap- tive weather sensing performs during different storm environments. First, we classified the storm environments based on the number of storm cells and their total coverage. The storm coverage is divided into nine intervals as shown in Table 2, where the coverage indexes and Table 2: Storm coverage intervals. Coverage Index Coverage Interval (%) C1 ( 0, 17) C2 [17, 28) C3 [28, 39) C4 [39, 50) C5 [50, 61) C6 [61, 72) C7 [72, 83) C8 [83, 92] C9 > 92 coverage intervals of storm cells are given on the left and right columns, respectively. Be- cause the conventional sensing mode is trig- gered if the sum of the tracking and surveil- lance task times is larger than UC, the max- imum sum of task times for tracking tasks is given by UC - TS. Consequently, the max- imum storm coverage for the adaptive sens- ing mode is 92% so it is the upper limit of the coverage index C8. Storm environments with coverage larger than 92% are indicated by the coverage index C9. The 12 archived data cases described in Table 1 were used to simulate the adaptive weather sensing frame- work with the optimal approach for assigning update times. A total of 1352 storm environ- ment cases over the 12 data cases were ana- lyzed. The estimated acquisition time was cal- culated by counting the minimum time in which all the tasks were executed at least once. The estimated revisit improvement factor was cal- culated by summing the number of tracking ex- ecutions over the estimated acquisition time. It is important to mention that both quality mea- sures were obtained at every acquisition time window. The resulted quality measures of es- timated total revisit improvement factor and ac- quisition time were grouped by the number of storm cells and the coverage index. The num- ber of storm environments in each group is pre- sented in Figure 6a. The mean of total re- visit improvement factor and acquisition time are shown in Figure 6b and c, respectively. It can be observed that storm environments with more than 5 storm cells or with coverage in- dexes larger than C7 are not observed within the 12 data cases. It is evident that the mean revisit improvement factor of higher than 10 can be observed for smaller coverage (C1). The im- provement of revisits decreases as the cover- age increases. The dependence of storm num- bers for the revisit improvement factor is not ap- parent. The mean of revisit improvement fac- tor over 1352 storm environments is approxi- mately 4.3. Moreover, the mean of acquisition time over all storm environment classes is ap- proximately 70 s, which approximately agrees the value of UC = 67 s. The standard deviation of acquisition time is 7.7 s. Acquisition times larger or smaller than 70 s could happen dur- 8
  • 9. C1 C2 C3 C4 C5 C6 C7 C8 1 2 3 4 5 6 C (%) N (a) # of storm environmebts 20 40 60 80 100 120 140 160 180 200 C1 C2 C3 C4 C5 C6 C7 C8 1 2 3 4 5 6 C (%) N (b) Mean(I) 1 2 3 4 5 6 7 8 9 10 C1 C2 C3 C4 C5 C6 C7 C8 1 2 3 4 5 6 C (%) N (c) Mean(A) 55 60 65 70 75 80 85 Figure 6: Panel a), number of cases for each storm environment class classified by the coverage index and number of storm cells. Panel b), average revisit improvement factors over each storm environment class. Panel c), average acquisition times over each storm environment class. ing periods when storm cells entered to or exit the radar view, which caused TB scheduler to lose balance. 6. Summary and conclusions In summary, an adaptive weather sensing framework was developed and demonstrated. An approach was designed to automatically as- sign update times to maximize the benefits of adaptive weather sensing. Moreover, the per- formance of such approach was analyzed us- ing simulation of 12 data cases, which covers a range of different weather events. Statistical re- sults have shown that the adaptive sensing with optimum approach can revisit storm cells 4.3 times more often than using conventional sens- ing while keeping the acquisition time near 70 s. It is important to highlight that during the sim- ulations of the adaptive weather sensing frame- work, the quality of the data over storm regions were the same as with conventional sensing. Acknowledgement This work was primarily supported by NOAA/NSSL under Cooperative Agreement NA17RJ1227. References Crum, T. D. and R. L. Alberty, 1993: The WSR- 88D and the WSR-88D operational support facility. Bull. Amer. Meteor. Soc., 74, 1669– 1687. Reinoso-Rondinel, R., 2011: A framework for Adaptive Weather Sensing Using Phased- Array Radar. Master’s thesis, University of Oklahoma. Reinoso-Rondinel, R., T.-Y. Yu, and S. Tor- res, 2010: Multifunction phased-array radar: Time balance scheduler for adaptive weather sensing. J. Atmos. Oceanic Technol., 27, 1854–1867. Stumpf, G. J., A. Witt, E. D. Mitchell, P. L. Spencer, J. T. Johnson, M. D. Eilts, K. W. Thomas, and D. W. Burgess, 1998: The na- tional severe storms laboratory mesocyclone detection algorithms for the WSR-88D. Wea. Forecasting, 13, 304–326. Witt, A., M. D. Eilts, G. J. Stumpf, J. T. John- son, E. D. Mitchell, and K. W. Thomas, 1998: An enhanced hail detection algorithm for the WSR-88D. Wea. Forecasting, 13, 286–303. 9