Doppler correction algorithm for EarthCAER Cloud Profiling Radar

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1 Doppler correctio algorithm for EarthCAER Cloud Profilig Radar Y. Oho, H. Horie, K. Sato,. Takahashi, atioal Istitute of Iformatio ad Commuicatios Techology 36th Coferece o Radar Meteorology 17 Sep 013

2 Schematic view of EarthCARE CPR observatio Satellite altitude about 400km CPR Satellite velocity 700ms PRF Hz Beamwidth 0.095deg. Vertical resolutio 500m Samplig 100m groud Miimum itegratio legth 500m Footprit size m

3 Doppler velocity error with o-uiform reflectivity Vsat θ: agle from adir VVsat*siθ Vsat*H θ E. θ beamwidth VbwVsat*sibeamwidth 5.97 ms H V Doppler measured by CPR is reflectivity weighted velocity i.e. V + w f z d V CPR f z d z: reflectivity w:vertical wid f: beam patter

4 Doppler velocity error with o-uiform reflectivity Vsat If o-uiform reflectivity V CPR w z z d θ V error V CPR w z z d H V Doppler measured by CPR is reflectivity weighted velocity i.e. V + w f z d V CPR f z d z: reflectivity w:vertical wid f: beam patter

5 Topics 1. Reflectivity distributio & Doppler error after horizotal itegratio. Doppler foldig cosideratio 3. Simulatio of Doppler error usig reflectivity data

6 1. Reflectivity distributio & Doppler error after horizotal itegratio

7 00 error error Z d z f v Z Z V V d z f d z f v V Doppler error formula after horizotal itegratio Verror : oe pulse Doppler error : beam ceter locatio at th pulse 00 :Ceter of itegratio : Pulse umber with horizotal itegratio Verror 00 : Pulse-itegrated Doppler error d z f Z

8 z Doppler error itegratio withi footprit f z*f v v*f*z X0

9 z Horizotal itegratio with satellite movig f z*f v v*f*z 1 ceter ceter 3 ceter

10 00 error error Z d z f v Z Z V V d z f d z f v V Doppler error formula after horizotal itegratio Verror : oe pulse Doppler error Verror 00 : Pulse-itegrated Doppler error d z f Z

11 Chage order of multiplicatio for Doppler error z f v f*v

12 f *v patter shift with satellite movig X -1 X 0 X +1 f -1 *v -1 f 0 *v 0 f +1 *v +1

13 f *v patter after 500m & 1km itegratio 3dB footprit after itegratio Red lie: f*v after horizotal itegratio

14 f & f*v patter after 1km itegratio

15 Footprit & f*v patter i horizotal view First footprit Ceter of itegratio 1km Ed footprit - +

16 . Doppler foldig cosideratio

17 Doppler foldig V ma λ PRF PRF: Pulse Repetitio Frequecy 4 Vma: Maimum velocity foldig V ma Vsat * fold H λ PRF H fold 4 Vsat 33.3m PRF 70.m PRF 7500Hz 6100Hz fold : Doppler foldig positio from ceter

18 Chage order of multiplicatio for Doppler error -X fold X fold f v Folded v Folded f*v

19 Doppler processig usig Pulse-pair 1 IQ Detector I ch Q ch Oboard processig ADC ADC Pulse-pair & 500m- Itegratio Satellite lik Groud processig Doppler Velocity w k Ik + Ik Qk iq k: pulse umber T: pulse iterval k : I ch time series : Q ch time series R T wk * wk + 1 Re R T + i Im R T Re R T I + k Ik + 1 QkQk + 1 Im R T Q kik+ 1 IkQk + 1 RT: Comple cross correlatio PP

20 Doppler processig usig Pulse-pair θ TV π λ Im RT V λ 4πT ta 1 Im Re R T R T θ R T θ: Phase chage betwee pulses V: Doppler velocity λ: radio wave legth T: pulse iterval Re RT

21 arcta 4 si Im cos Re 00 ma ma error Z C Z Q PRF V d z f Z Z d z f q Q Z d z f c C T R q T R c π λ π π c,q: Real & imagiary part of RT fuctio at Formula of Doppler velocity error usig PP C,Q: Real & imagiary part of RT fuctio at V 00 : Pulse-itegrated Doppler error ma : Doppler foldig positio from beam ceter

22 f *c & f*q patter with 500m itegratio 3dB footprit after itegratio

23 f *c & f*q patter with 1km itegratio 3dB footprit after itegratio

24 3. Simulatio of Doppler error usig real observatio

25

26 z & f*v patter i db - +

27 z & f*v patter i db - +

28 z & Q patter i db

29 z & Q patter i db

30 z & C patter i db

31 z & C patter i db

32 ta π E Pulse-pair to Doppler error arcta 4 00 error Z C Z Q PRF V λ

33 Summary 1. Doppler error ca be estimated from reflectivity referrig first ad ed footprit. Itegrated real ad imagiary part of Rt is useful to cosiderig Doppler error with foldig 3. Doppler error value is demostrated usig SPIDER observatio

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