DocumentCode
3270859
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
fYear
2013
fDate
15-18 Sept. 2013
Firstpage
325
Lastpage
329
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Image Processing (ICIP), 2013 20th IEEE International Conference on
Conference_Location
Melbourne, VIC
Type
conf
DOI
10.1109/ICIP.2013.6738067
Filename
6738067
Link To Document