Impact of Polarimetric Dimensionality of Forest Parameter Estimation by Means of Polarimetric SAR interferometry

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1 Impact of Polametc Dmensonalty of Foest Paamete Estmaton by Means of Polametc SAR ntefeomety Jun Su Km, Seung-Kuk Lee, Konstantnos Papathanassou, and Iena Hajnsek Geman Aeospace Cente Mcowaves and Rada Insttute 09-July-008

2 Polamety and Intefeomety GROUND Polamety s senstve to delectc stuctue / shape. Intefeomety s senstve to heght / densty. Intefeometc coheence depends on polasaton. Slde

3 Coheence Regon -In Complex unt ccle Small decoelaton hgh coheence ee heght Coheence Regon Shot vegetaton Quad-pol δ Comp-pol Hgh decoelaton small coheence all vegetaton Slde 3

4 Stuctue of coheence egon -α-angle dependency P-Band L-Band Slde 4

5 Stuctue of Coheence egon -Impotant γ values and compact-pol Complex egenvalues ae placed n the coheence egon and they ae foc of bounday. Dependng on the tansmsson bass, coheence egon changes the shape and poston. Slde 5

6 Study Aea and Datasets Flat tean Mawas Homogeneous, and Spase Peat Swamp foest wth undestoy Sunga Wan Hlly tean, Heteogeneous, and Dense Dpteocap foest HH+VV, HH-VV, HV Slde 6

7 Study Aea and Datasets - Intefeometc paametes κ ζ 0.0 Mawas Sunga Mawas Wan Sunga Wan P-Band L-Band 0/0 κ ζ 0. 0/04 0/04 0/03 03/04 0/03 0/05 0/05 03/05 03/04 0/03 0/0 0/0 4 0/0 3 0/05 08/ 05/08 0/05 05/ 0/08 κ ζ 0. 04/05 05/08 0/ κ ζ 0.3 0/08 P-Band L-Band P-Band L-Band κ ζ 0.4 Slde 7

8 he Dependency of δ/κ ζ as a functon of. Wavelength (λ. (Spatal Baselne (Β 3. Polazaton Confguaton (Α. Quad Polasaton (Quad. Compact Pol x: Lnea ( 45 deg Rx: H,V (L x: Lnea (-45 deg Rx: H,V (L x: Ccula Rght Rx: H,V (CR x: Ccula Left Rx: H,V (CL 3. Dual Pol HH and VH (DH VV and HV (DV HH and VV (HV 4. Incdence angle (θ 5. ean slope (α Slde 8

9 Dependency on (Spatal Baselne Mawas P-Band Quad-pol Rght Ccula Dual-pol Vetcal B6m B3m Slde 9

10 Dependency on Wavelength Sunga Wan κ ζ ~ 0. Quad-pol Rght Ccula Dual-pol Vetcal P-Band L-Band Slde 0

11 Dependency on Spatal Baselne Mawas P-Band L-Band Gve table and hstogam of shot baselne and long baselne 6m 3m 48m 5m 0m 5m 0/05 05/08 08/ 0/08 05/ 0/ 0/05 05/08 0/08 Quad L L CR CL HH,VV VH,HH HV, VV Av δ/κ ζ ndependent of baselne δ/κ ζ deceases wth wavelength Slde

12 Dependency on Spatal Baselne Sunga Wan P-Band Gve table and hstogam of shot baselne and long baselne 4m 8m 4m 56m 0/0 0/03 0/04 0/03 03/04 03/05 0/05 0/05 04/05 Quad L L CR CL HH,VV HH,VH HV,VV Av Slde

13 Dependency on Baselne Sunga Wan L-Band 5m 0m 5m 0/0 0/03 03/04 0/03 0/04 0/04 Quad L L CR CL HH,VV HH,VH HV,VV Av δ/κ ζ s about half wth compact-pol Slde 3

14 Dependency on Incdence Angle B0m B8m B0m B8m Slde 4

15 Dependency on Incdence Angle B0m B8m B0m B8m Slde 5

16 Dependency on Incdence Angle Mawas P-Band m Gve 0/05 table of 5.90(5.5 π/κ ζ n ode 6.80(5.5 to mask out 6.60(5.5 unelable 7.0(54. egon 8.80( /08 6.0( ( ( ( ( / 6.0( ( ( ( (54.9 3m 0/08 5.0( ( (5. 7.0( (58. 05/ 4.90( ( ( ( ( m 0/ 3.00( ( ( (5. L-Band m m 0/05 05/08 5.0( (39.8 8m 0/ ( ( ( ( ( ( ( ( ( ( ( ( ( (50.0 Slde 6

17 Dependency on Incdence Angle Sunga Wan P-Band m 0/0 0/ ( ( ( ( ( (53..60( (5. 0/ ( ( ( (49.0 8m 0/ ( (38.9.0(56..80(5.7 03/ ( ( ( ( / ( ( ( (50.9 4m 0/ ( (43.8.0(44..40(48. 56m 0/ ( ( ( ( / ( ( ( ( ( ( (48.0.0( ( ( (55.8.0(5.4.60(49. δ/κ ζ s about half n com-pol Slde 7

18 Dependency on Incdence Angle Sunga Wan L-Band m 0m 0/0 8.00( ( ( ( (57.4 0/ ( ( ( ( ( / ( ( ( ( (5.6 0/ ( ( ( (56..00(55.8 0/04 9.0( ( ( ( (53.7 5m 0/ ( ( ( ( (59.8 δ/κ ζ nceases wth ncdence angle Slde 8

19 Dependency on ean Slope B5m B8m B5m B8m δ/κ ζ s moe senstve n P-Band Slde 9

20 Dependency on ean Slope B5m B8m B5m B8m Compact-pol pefoms bette nea 0 slope

21 Dependency on ean Slope Also along azmuth slope Slde

22 Conclusons fom the analyss of the two topcal data sets δ/κ ζ s wdely ndependent on spatal baselne. he baselne dependency obseved n Sunga Wan s pobably due to tean nduced decoelaton effects. δ/κ ζ nceases wth wavelength: at P-band about 0-30% longe than at L-band δ/κ ζ degeases sgnfcantly (40-50% n any patal polametc scenao. Quad-pol L-band pefoms bette than Compact-Pol P-band!!! Supsng: hee s no bg dffeence between Compact/Hybd confguatons and Dual-Pol confguatons. hs s pobably due to the vey weak dhedal scatteng component n both test stes. δ/κ ζ nceases wth ncdence angle -> wde gound scatteng dynamc n fa ange. he pefomance of patal-polamety degades n the pesence of even weak slopes (α > -3 Compact-polamety woks bette when gound s flat. (Sunga Wan shows smalle CP/QP ato than Mawas Slde

23 Impact of Polametc Dmensonalty of Foest Paamete Estmaton by Means of Polametc SAR ntefeomety Jun Su Km, Seung-Kuk Lee, Konstantnos Papathanassou, and Iena Hajnsek Geman Aeospace Cente Mcowaves and Rada Insttute 09-July-008

24 Compact Polamety -on Poncaé Sphee Conventonal Polazatons Compact Polamety Hozontal Ccula Rght Vetcal π/4 - mode Slde 4

25 Compact Polamety (Analogy Slde 5 V pol obs. Compact-pol obs. H pol obs.

26 Slde 6 Pojecton Matx -Quad-pol to Comp-pol Defnton of scatteng vecto: + hv vv hh vv hh S S S S S k Scatteng vecto of Compact Polamety: k k e e e S e S S e S e S S S S j vv vh hv hh vv vh hv hh + + A δ δ δ δ δ δ Covaance matx of Compact Polamety: ( ( A A A A A A J k k k k j j

27 Slde 7 Vaous pojecton matces Lnea ansmssons (δ 0, π Ccula ansmssons (δ π/, -π/ Dual polazatons 4 / π A 4 / π A / π A / π A H A A V 0 0 A HV :L :DV :DV :L :CR :CL :HV

28 Slde 8 Coheence egon (Feld of Values Defnton of Feld of Values (S }, { 3 x x C x x x S A Complex γ n PolInSAR (How γ vaes as w changes? k k k k w w w w and whee, Ω Ω γ Implementaton nto PolInSAR (Flynn et al, 00 whee, ( then, Set / / / v v w w w v Ω γ

29 Intefeometc Coheence: γ~ ( w, w < w [Ω] w + < w [ ] w >< w + > [ ] w + > λ max Optmsaton Poblem: w w λ mn [ ] [Ω ] w φ λ w [ ] ([ ] + [ ], λ (λ + λ [Ω φ] (exp( φ[ω] + exp( φ[ω] + Coheence Regon: φ λ max, λ mn that have to be connected to povde the bounday of the c. Shape and sze ae chaactesed by the acquston and scatteng paametes

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