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Temporal decorrelation effects  in super-resolution 3D Tomosar Francesco Cai, Fabrizio Lombardini, Lucio Verrazzani  University of Pisa Department of Information Engineering Gold conference  2010  Livorno, April 29 2009
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
3D SAR Tomography concept flight direction b N b n b 1 s, elevation z y ( b 1 ) y ( b n ) y ( b N ) Range-azimuth cell Azimuth Ground range Signal spatial sample at baseline  b n : Define an elevation-dependent spatial frequency: 1-D Fourier relation Tomo-SAR can localize the multiple scatterers through spatial spectral estimation (i.e. elevation beamforming) ,[object Object],[object Object],[object Object],[object Object],[object Object],[Reigber-Moreira, IEEE-TGARS ’00] Complex amplitude elevation distribution ,[object Object],[object Object],[object Object],[Lombardini-Reigber, IGARSS ‘03] [Fornaro-Serafino-Soldovieri, IEEE-TGARS ’03] [Lombardini-Pardini, IEEE-GRSL ‘08] ,[object Object],[object Object]
Tomography with temporal decorrelation Acquisition  Time ,[object Object],[object Object],[object Object],[object Object],[object Object],Assumed temporal coherence function Coherence time Brownian motion standard deviation Acquisition time index Physical changes during the multibaseline acquisition time span can badly affect the spatial spectral estimation Objective:  Analysis and quantification of temporal decorrelation effects on the formation of Tomo profiles from repeat pass multibaseline data; analysis of possible solution  . . . . . . b 1 b 2 t 1 t 2 t n b n
Tomographic analysis: scenario and methods Temporal decorrelation model from [Lombardini-Griffiths, IEE-EUREL ’98] Baseline-time acquisition pattern Long term temp. dec.   c  = 3 rev. times ,[object Object],Long term temp. dec.   c  = 34 rev. times Analysis of a  model based  and  adaptive BF  Tomo SAR methods,  useful for critical resolutions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Weak Strong Satellite cluster
Model-based SAR Tomography ,[object Object],[object Object],Ideal case Monostatic acquisition pattern  Canopy Ground  c  = 34 rev. times  c  = 3 rev. times Strong  temporal decorrelation Weak temporal decorrelation ,[object Object],[object Object],SAR Tomography functionality affected even  by a weak temporal decorrelation  condition
Model-based SAR Tomography ,[object Object],[object Object],Ideal case Multistatic acquisition pattern  SAR tomography functionality worsening present even in more densely sampled acquisition pattern  c  = 34 rev. times  c  = 3 rev. times Strong  temporal decorrelation Weak  temporal decorrelation
Adaptive beam SAR Tomography Ideal case ,[object Object],[object Object],Multistatic acquisition pattern  Temporal signal histories are equivocated with spatial histories,  resulting in a heavy resolution loss and in an estimation performance degradation  c  = 34rev. times  c  = 3 rev. times Strong temporal decorrelation Weak temporal decorrelation
SAR Tomography criticalities Which temporal decorrelation condition is critical for SAR tomography functionality? Resolution(%), multistatic configuration Useful indications in the planning of future missions such as ESA-BIOMASS and DLR TanDEM-L. Acquisition time >≈  ½-⅓  τ c   Acquisition time >≈  τ c   Criticalities for model-based SAR Tomograpy : strong loss  for resolution probability Adaptive BF method is more robust to temporal decorrelation effects than model –based method Acquisition time ≈  ⅓  τ c   Adaptive BF Tomo SAR begins to perform better than model-based
A new approach: the Differential SAR Tomography framework Point-like scatterer in height  Uniform motion (l.o.s. direction) spatial harmonic  temporal harmonic  Discrete space-time spectrum Temporal frequencies code velocities Example:  subsidence in urban layover areas Extended scatterers in height   Range of velocities spatial harmonic distribution   temporal harmonic  distribution Continuous space-time spectrum Temporal frequencies code velocities   Example:  a glacier flow (sliding  random volume over ground) Temporal decorrelation of a scattering component temporal harmonic  distribution Temporal frequencies are  signatures  of the temporal decorrelation   ! [Lombardini-Fornaro, IGARSS’05] [Fornaro-Serafino-Reale, IEEE-TGARS’09] [Lombardini, ESA FRINGE Wrkshp’07] Diff-Tomo exploits the multibaseline-multitemporal information content to  enter  the SAR pixel and extract separated information on  elevation and velocity of  multiple  superimposed scatterers [Lombardini, TGARS Jan. 2005] “ Diff-Tomo” is a new interferometric mode, which avoids the misinterpretation  of spatial signal histories (scatterers location) and temporal histories in non-stationary scenarios Temporal signal histories from decorrelation can be decoupled from the spatial spectral estimation . D-InSAR and Tomo-SAR crossed in an unified framework Joint elevation-velocity resolution of multiple scatterers
Robust SAR Tomography trough  Differential SAR Tomography ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Spectral signatures  from temporal decorrelation of canopy  Robust tomographic method Diff-Tomo spectrum Elevation resolution is restored
Conclusions and perspectives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Cai lomver gold2010

  • 1. Temporal decorrelation effects in super-resolution 3D Tomosar Francesco Cai, Fabrizio Lombardini, Lucio Verrazzani University of Pisa Department of Information Engineering Gold conference 2010 Livorno, April 29 2009
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  • 9. SAR Tomography criticalities Which temporal decorrelation condition is critical for SAR tomography functionality? Resolution(%), multistatic configuration Useful indications in the planning of future missions such as ESA-BIOMASS and DLR TanDEM-L. Acquisition time >≈ ½-⅓ τ c Acquisition time >≈ τ c Criticalities for model-based SAR Tomograpy : strong loss for resolution probability Adaptive BF method is more robust to temporal decorrelation effects than model –based method Acquisition time ≈ ⅓ τ c Adaptive BF Tomo SAR begins to perform better than model-based
  • 10. A new approach: the Differential SAR Tomography framework Point-like scatterer in height Uniform motion (l.o.s. direction) spatial harmonic temporal harmonic Discrete space-time spectrum Temporal frequencies code velocities Example: subsidence in urban layover areas Extended scatterers in height Range of velocities spatial harmonic distribution temporal harmonic distribution Continuous space-time spectrum Temporal frequencies code velocities Example: a glacier flow (sliding random volume over ground) Temporal decorrelation of a scattering component temporal harmonic distribution Temporal frequencies are signatures of the temporal decorrelation ! [Lombardini-Fornaro, IGARSS’05] [Fornaro-Serafino-Reale, IEEE-TGARS’09] [Lombardini, ESA FRINGE Wrkshp’07] Diff-Tomo exploits the multibaseline-multitemporal information content to enter the SAR pixel and extract separated information on elevation and velocity of multiple superimposed scatterers [Lombardini, TGARS Jan. 2005] “ Diff-Tomo” is a new interferometric mode, which avoids the misinterpretation of spatial signal histories (scatterers location) and temporal histories in non-stationary scenarios Temporal signal histories from decorrelation can be decoupled from the spatial spectral estimation . D-InSAR and Tomo-SAR crossed in an unified framework Joint elevation-velocity resolution of multiple scatterers
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