Title :
Phase retrieval for a class of 2-D signals characterized by first-order difference equations
Author :
Shenoy, Basty Ajay ; Mukherjee, Sayan ; Seelamantula, Chandra Sekhar
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India
Abstract :
We address the problem of signal reconstruction from the Fourier transform magnitude of a certain class of two-dimensional (2-D) signals that are characterized by first-order difference equations. We show that when such a signal has a Z-transform that includes the unit sphere in the region of convergence, it can be reconstructed uniquely from the Fourier magnitude. We employ the annihilating filter approach to find the parameters of the rational transfer function.
Keywords :
Fourier transforms; difference equations; signal reconstruction; transfer functions; 2D signals; Fourier transform magnitude; Z-transform; annihilating filter; convergence region; first-order difference equations; phase retrieval; rational transfer function; signal reconstruction; two-dimensional signals; unit sphere; Compressed sensing; Fourier transforms; Holography; Image reconstruction; Signal reconstruction; Transfer functions; Phase retrieval; annihilating filter; finite rate of innovation;
Conference_Titel :
Image Processing (ICIP), 2013 20th IEEE International Conference on
Conference_Location :
Melbourne, VIC
DOI :
10.1109/ICIP.2013.6738067
