Sensitivity analysis of compressed sensing ISAR imaging to rotational acceleration rate mismatch

In this paper, we present a sensitivity analysis of compressed sensing inverse synthetic aperture radar imaging to a mismatch of rotational acceleration rate. This analysis shows that the mismatch leads to reconstruction performance degradation due to intra-pixel and inter-pixel shifts. Numerical examples show that increasing mismatch leads to an increase of reconstruction error due to intra-pixel shift. This error reaches a maximum constant level once the shift becomes greater than a pixel. We calculate the mismatch limits required to reduce this error. Imaging examples validate these limits by showing that the reconstructed images are well constructed if the mismatch is below these limits.