Performance analysis of the TLS algorithm for image reconstruction from a sequence of undersampled noisy and blurred frames

A theoretical analysis is proposed to evaluate the robustness of the total least square (TLS) algorithm for image reconstruction from a sequence of undersampled noisy and blurred frames in the wavenumber domain. Since the data samples in the wavenumber domain are complex-valued, the results from the TLS theory developed for the case of real-valued data are adapted to the situation at hand. It is shown that the image quality can be improved as more frames become available. In the case of blurred frames, higher resolution images may be reconstructed using the TLS algorithm with post-deblurring. Finally, computer simulation results are provided to demonstrate the robustness of the TLS algorithm for image reconstruction