We study in this paper a discrete-time, discrete-frequency model for image restoration using the singular value decomposition of the imaging matrix. We show that the resulting singular vectors have many of the properties possessed by Slepian's discrete prolate sphroidal sequences (DPSS). They are doubly orthogonal, they are bandlimited, they satisfy an equation very similar to that satisfied by the DPSSs, and they possess an extremal energy-concentration property. These properties continue to hold with appropriate modification for bandpass as well as lowpass operations.
['Y. Zhou', 'Craig K. Rushforth', 'Richard L. Frost']
Singular value decomposition, singular vectors, and the discrete prolate spheroidal sequences