BLIND DECONVOLUTION AND PHASE RETRIEVAL FROM POINT ZEROS

The points at which two-dimensional spectra of band-limited functions are zero can be used to generate a polynomial approximation of the com plex spectrum. These point-zero locations are common to both the spect rum and the associated power spectrum. The phase of the complex-valued polynomial along with the measured intensity data is used to generate an initial guess for the function that, an error-reduction algorithm can improve. This approach has practical utility for Fourier phase ret rieval as well as for blind deconvolution. The limitations of the mode l are discussed, and examples are given. (C) 1996 Optical Society of A merica.