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Interferogram Filtering vs Interferogram Subtraction. E. Rodriguez Jet Propulsion Laboratory California Institute of Technology. UHF Fringe Spectrum No Antenna Pattern.
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Interferogram Filteringvs Interferogram Subtraction E. Rodriguez Jet Propulsion Laboratory California Institute of Technology
UHF Fringe SpectrumNo Antenna Pattern Interferogram spectra for signal to clutter ratio of 1, radar frequency of 430MHz, bandwidth of 6MHz, for the first 50 km of xb. The basal spectrum is colored orange. The remaining curves show the surface spectra for D = 1 km (black), D = 2 km (red), D = 3 km (green), D = 4 km (blue). Notice that the basal fringe spectrum depends very weakly on depth
Interferogram Spectrum and Angular Variations of Brightness Complex interferogram Surface interferometric phase difference Basal interferometric phase difference The effect of long wavelength variations (due to the antenna pattern or sigma0) is to convolve the interferogram spectrum with the envelope spectrum. This can lead to significant spectral overlap.
Observed Surface Sigma0 Angular Dependence at 120 MHz • Data obtained with the JPL Europa Testbed Sounder in deployment with the Kansas U. sounder over Greenland • Angular decay near nadir (>15 dB in 5 degrees) consistent with very smooth ice surface • Change in behavior at P-band is still unknown, but probably bounded by 1-3 degree slope models
Topographic Simulation Results Topography Weighted by Gain Surface Interferogram Basal Interferogram Distance (km) Range Range
Before filtering After filtering Antenna Pattern Results: 2 km Surface Return Basal Return
Before filtering After filtering Antenna Pattern Results: 3 kmWhat should be done about long wavelength brightness variations? Surface Return Basal Return
Proposed Solution • Rather than do blind Fourier filtering, treat surface signal as known up to a multiplicative constant (or similar low order polynomial), which is estimated by fitting and the interferogram phase known up to a constant + slope terms. The fitted signal is removed by subtraction. • Known parameters: antenna gain, flat surface interferogram rate. • Unknown parameters: surface slope, precise sigma0 variation. First sigma0 estimate from azimuth averaged intensity data. • Validity of subtraction scheme has been shown to work on simulated data. Significantly better clutter reduction than Fourier filtering. • Needs to be verified with real data