Compressed sensing based image formation of SAR/ISAR data in presence of basis mismatch

This paper examines compressed sensing (CS) based image formation of synthetic aperture radar (SAR) and inverse synthetic aperture radar (ISAR) data for sparse scenes containing moving targets. We consider basis mismatch for the case when the basis used for reconstruction is different from the actual one in which the reconstructed data are sparse. We use orthogonal matching pursuit (OMP) algorithm for reconstruction and show using simulated data that error between original and reconstructed data increases in presence of basis mismatch. We also show that a certain level of basis mismatch in range velocity, positions and chirp rate is acceptable to achieve reasonable image formation.