Doppler Weather Radar CalibrationG.VISWANATHAN
Director(Rtd)[email protected]
DWR CalibrationHow DWR works & what constitute the radar dataMeasurement Accuracy, Precision ,BiasRadar Hardware Calibration
Antenna,Rx Sensitivity, Tx Power,Signal ProcessingCalibration vs ValidationZ estimate ValidationDoppler Velocity ValidationInter comparison of data – Radar-Radar, Radar-
GaugeNetworked Radars – Cal/Val IssuesDual Pol Radar CalibrationWhat IMD needs to do
RADAR TARGETS
HARD TARGET SOFT TARGET
Distinct reflecting targets small enough not to fill the beam (Point target)
Distributed targets like hydro meteors or turbulent medium which fills the beam.(Volume reflectivity)
R
Ct/2
C /2
3.R
Radar Resolution Elements Range : C /2Angle : 3.R
Doppler: 1/ T, where T is Integration Time
1 2 3Dr=c/2fs IPP=T=1/prf
SPATIO TEMPORAL SAMPLING OF DYNAMIC WEATHER PHENOMENABY DWR IN A HEMISPHERICAL VOLUME OF SPACE AROUND RADAR
Dr 3q xR3q xR= Dv
Radar DataRaw Data @ I/Q level, or Signal power received
Base Data – or – Moment Data (Z,V, )s
Derived Products, like Rain Rate(R)
H Pol radars depend on emperical exponential, Z-R relationship, further compounded by DSD, Climatology etc.
BASE PRODUCTS OF THE DWR ARE THE THREE MOMENTS OF THE TIME SERIES THUS GENERATED- Z = Precipitation Intensity is the area under the curve of Doppler Velocity Spectrum for an incremental volume of space as seen by the
Radar resolution elements,D v=( q3 R)2(DR) & filled with Hydrometeors and
is estimated from the 0th moment of the Time Series generated by the radar.
VD= Mean Doppler Velocity of the Hydrometeors in the resolution volume &
is estimated from the First Moment of the Time Series.
= s Spectrum Width of Doppler Spectrum & is estimated from the Second Momentof the Time Series.
whereq3 = Beam widthDR = Range resolutionR = Range to the volume element
ISRO RADAR DEVELOPMENT UNIT, BANGALORE.
sZ
V
ISRAD
Accuracy, Precision, Resolution
*** *** ***
*** *** ***
* * *
* * ** * *
Neither precise nor accurate
Precise but not accurate
Accurate but not precise
Accurate & Precise
*** *** ***
*
***
Measurement AccuracyAccuracy
Frames of Reference for Radar
Tropo Centric Frame
Xg
Yg
Zg
XtYt
, , h
OriginEarth Centre
Geocentric Frame
r = Slant range or radial distance (Kms) = Elevation angle [measured from local horizon (mils)] = Azimuth Angle [measured clock wise from North (mils)]
Z
NX
Y
r
= El
= Az
Target positionP(r, , ) @ t
T
Radar Data Array
Elevation(-2 to+30deg)Azimuth for Each Elevation (0-
360deg)Range ( in terms of Range Bin) for
each AzimuthData values(say Z,V,) for each Range
Bin
DWR Hardware Calibration
Weather Radar Equation relates the signal power received in terms of the System level parameters of the radar and the backscattering cross section of the target, in this case the hydrometeors in a cloud.
It can be written in a simpler form as follows:Sr = KZ/(R*R)
Where K is known as the Radar Constant Z is precipitation intensity in sample volume
R is Slant range to Target in a given Az & El
IMD-ISRO CAL-VAL EXPERIMENT
Lat: 13.374
Lon: 80.258
Lat: 13.664
Lon: 80.227
Lat: 13.083
Lon: 80.289
13
13.1
13.2
13.3
13.4
13.5
13.6
13.7
80.00 80.10 80.20 80.30 80.40 80.50
Lat
itu
de(
deg
)
Longitude(deg)
Shar
Lat: 13.374
Lon: 80.258
Lat: 13.664
Lon: 80.227
Lat: 13.083
Lon: 80.289
CDR
IMD-ISRO CAL-VAL EXPERIMENT
: Two radar beams intersecting. Here red and blue lines mark the range bins of radar A and B respectively. Note that the difference in the sizes of range bins between two radars leads to different sampling volumes in the overlapping volume.
IMD-ISRO CAL-VAL EXPERIMENT
feed
DWR at SDSC SHAR
Az RJ, Cable, RF
Amplifier
Base band Down Conversion
Cable,
Az RJ
TRLDirectional.
Coupler
Down
Converter
LNAIFA & FILTER
10 MHz ref Pulse/CW
2 x ADC I
Q
I
Q
RF source
2.7-2.9 GHz
Modulator Variable
Attenuator
RF FRONT ENDIF RECEIVER
EXT.SIMULATOR
PIN
DSP dBm (POUT ) / dBZ
Figure 2. Experimental setup at DWR-SHAR for calibrating receive chain dynamic range.
IMD-ISRO CAL-VAL EXPERIMENTCDR, SHAR - LP
-10
0
10
20
30
40
50
60
70
80
90
100
-120 -110 -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0
Input power(dBm)
Re
fle
cti
vit
y(d
BZ
)
DWR, SHAR CDR, Chennai
IMD-ISRO CAL-VAL EXPERIMENT
The radius of the metal sphere considered in Spherecal is 15 cms. Radar cross section of this metal sphere falls close to optical region as shown in the calculations below:
2 r/ = 9.01 & / r2 = 0.99
IMD-ISRO CAL-VAL EXPERIMENT
. Launching of metal sphere from SHAR for spherecal experiment. Also shown Is the video output of metal sphere. Upper trace is log video and lower trace is linear output
IMD-ISRO CAL-VAL EXPERIMENT
Table 2. Summary of Spherecal experiment conducted on 4-4-2007 for Pulse width = 2 s S. No
Description DWR, SHAR CDR, Chennai
1 Radar Constant in use
-7.53 dB -7.0 dB
2 Radar Constant measured from Spherecal expt.
-6.66 dB -4.56 dB
3 Difference between measured and estimated
+0.87 dB +2.44 dB
Remarks
Average value from both the spheres
Value corresponding to 2nd sphere only
IMD-ISRO CAL-VAL EXPERIMENT
Table – 1. Comparison of antenna gain using Sun calibration
DWR System Location
Expected Antenna Gain
Measured Antenna Gain
Difference (measured – expected)
SHAR 45.0 dB 44.1 dB -0.91 dB
Chennai 44.23 dB 45.6 dB + 1.37 dB
Joint CAL-VAL Committee of IMD-ISRO
Prof.G.S,Bhat-CAOS/IISc ChairmanMr.SK.Banerji- IMD HQ MemberMr. B.Thampi – IMD© MemberMr.SK.Kundu - IMD HQ MemberMr.S.Venkateswarlu-IMD MemberDr.B.Manikiam-ISRO HQ MemberDr.GV.Rama- ISRO SHAR MemberMr.V.Rama Rao – ISRAD MemberMr.S.Rajendran - ISRAD MemberMr.R.Ranga Rao –ISRAD Member-SecretaryData Analysis ably assisted by Mrs.Anitha
Daniel,Subbu,&Vikas
IMD-ISRO CAL-VAL EXPERIMENT
IMD-ISRO CAL-VAL EXPERIMENT
CDR-2006_10_28_16_30_29_72
CDR-2006_10_28_16_30_29_72
Comparison of PPI-Z @ Elevation 1.0SHAR-2006_10_28_16_31_10
SHAR22
PPI (Z) comparison of SHAR and Chennai DWRs before applying the corrections.
IMD-ISRO CAL-VAL EXPERIMENTComparison of PPI-Z @ Ele 1
2006_10_28_19_36_28
CDR-2006_10_28_19_34_01
Figure 8. c) PPI (Z) comparison of SHAR and Chennai DWRs before applying the correction.
IMD-ISRO CAL-VAL EXPERIMENT
Figure 8. d) PPI (Z) comparison of SHAR and Chennai DWRs after applying the correction.
Comparison of PPI-Z @ Ele 1 after added bias +5dB to SHAR
2006_10_28_19_36_28
CDR-2006_10_28_19_34_01
SHAR25
IMD-ISRO CAL-VAL EXPERIMENT
10/2
8/06
14:
24
10/2
8/06
19:
12
10/2
9/06
0:0
0
10/2
9/06
4:4
8
10/2
9/06
9:3
6
10/2
9/06
14:
24
10/2
9/06
19:
12
10/3
0/06
0:0
0
-30
-20
-10
0
10
20
30
40
50
60
Intersection point @ 13.374,80.258 after correction
Time(UT)
Z(d
Bz)
IMD-ISRO CAL-VAL EXPERIMENT
10/28/06 14:24 10/28/06 19:12 10/29/06 0:00 10/29/06 4:48 10/29/06 9:36 10/29/06 14:24 10/29/06 19:12 10/30/06 0:00-20
-10
0
10
20
30
40
50
60
Middle [email protected],80.30 after correction
Time(UT)
Z(d
Bz)
Scatter Figure 11. a) Scatter plot of cloud reflectivity of SHAR and Chennai DWRs without correction.
Figure 11. b) Scatter plot of cloud reflectivity of SHAR and Chennai DWRs with correction (added +2dBz to SHAR and –3dBz to Chennai data).
Subsequently an inter comparison between SHAR DWR and TRMM – (Joint PR-TMI )revealed that SHAR – DWR makes an under estimate of ~5-6dB
Most likely cause is the difference in Antenna gain as measured in Test range(Without Bends& twists) & the effective gain after field installation, namely plumbing losses)
In the production version of the radar WG plumbing is optimized by welding /brazing WG components with out using standard flanges etc.
IMD-ISRO CAL-VAL EXPERIMENT
IMD-ISRO CAL-VAL EXPERIMENT
Figure 11. a) Scatter plot of cloud reflectivity of SHAR and Chennai DWRs without correction.
Figure 11. b) Scatter plot of cloud reflectivity of SHAR and Chennai DWRs with correction (added +2dBz to SHAR and –3dBz to Chennai data).
Scatter plot_without correction
y = 0.8802x + 5.0463
0
5
10
15
20
25
30
35
40
45
50
55
60
0 5 10 15 20 25 30 35 40 45 50 55 60
SHAR(Z)
CD
R(Z
)
Scatter plot_withcorrectionadded 2dBz to SHAR,added -3dBz to CDR
y = 0.8802x + 0.286
0
5
10
15
20
25
30
35
40
45
50
55
60
0 5 10 15 20 25 30 35 40 45 50 55 60
SHAR(Z)
CD
R(Z
)
IMD-ISRO CAL-VAL EXPERIMENTRain Acc. comparison between radar and radar
0.00
20.00
40.00
60.00
80.00
100.00
120.00
80.26 80.10 80.20 80.30 80.40 80.05 80.08 80.35 80.15
13.374 13.358 13.368 13.378 13.389 13.353 13.356 13.383 13.363
Middle points
Rain
Acc.(
mm
/day)
DWR-SHAR DWR-CDR
Figure 12. Histogram of rain accumulation of both radars at equidistant locations.
IMD-ISRO CAL-VAL EXPERIMENTRain Acc. comparison between gauge and radar
0
20
40
60
80
100
120
140
160
180
Sulurpet Gudur Nellore Nungambakkam
Gauge locations
Rain
Acc.(
mm
/day)
Raingauge DWR-SHAR DWR-CDR
Figure 13. Histogram of daily rainfall measured by rain gauges and DWRs.
4. Conclusions For the Committee Members, visit to the
radar sites and seeing DWRs in operation was an unforgettable experience. The radar calibration experiments could be successfully carried out because IMD and ISRAD teams worked together as one unit with lot of understanding and full cooperation. This spirit should continue. Some important conclusions from calibrations carried out are as follows.
IMD-ISRO CAL-VAL EXPERIMENT
IMD-ISRO CAL-VAL EXPERIMENTSHAR_2006_10_29_05_35_28 CDR_2006_10_29_05_33_55
Figure 14.a) Radar to radar PPI (V) image comparison.
(Note: The cyclone crossed Nellore. Since the cyclone is north of both the DWRs similar velocity patterns are seen by both the DWRs.
IMD-ISRO CAL-VAL EXPERIMENT The response of the receive chain sub-system of both the DWRs
(forward of the LNA input point) is linear over a dynamic range of ~100 dB. The repeatability is excellent. The performance of this sub-system is as per the design specifications.
The measured radar constant based on metal sphere calibration differs from the values being used at present by +1.57 dB and +0.87 dB respectively for Chennai and SHAR DWRs. These numbers are based on the maximum value of Z measured during Spherecal experiment at a given range of the sphere.
Suncal results show that the measured antenna gain differs from the values being used at present by +1.4 dB and -0.9 dB respectively for the Chennai and SHAR DWRs. The measurement uncertainty in Suncal experiment is ±1 dB, and the observed differences are within or close to this limi
Radar derived daily rain accumulations are consistently lower than that measured by the rain gauges. The Z-R relationships used were developed for the mid-latitude systems. Perhaps, these relations need re-evaluation for the Indian cloud systems.
The intercomparison of Z products in areas that are almost equi-distant from two radars and in volumes having some overlap show that there is a difference of about 4 to 6 dB between the two radars with Chennai values being higher. Even among radars of the same make, differences of 2-3 dB are common.
Essentiality of CAL-VAL for IMD All networked DWR’s to be Calibrated
periodically as per well laid out procedure.Sun Cal to be once in 3 months & sphere Cal
every 6 monthsEach DWR to be supported by a network of fast
response TM Rain GaugesAtleast Two Distrometers to be part of Rain
Gauge networkIMD to organize a DWR CAL-VAL workshop
once a year, with participation of Designers, IMD,ISRO, Mnfrs, Modelers & Researchers in Radar meteorology .
Database for each Network radar on CAL-VAL to be archived.
Seasonal Differences in DSD at Gadanki:
Rao et al. 2009, QJRMS
Radhakrishna et al. 2009, JGR
THANK YOU
IMD-ISRO CAL-VAL EXPERIMENT
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