Abstract
There are a variety of practical problems in which only the phase or magnitude of the Fourier transform of a signal is known and it is desired to reconstruct the signal. In this talk, a number of results developed in the Digital Signal Processing Group at M.I.T. over the past several years will be described. The work discussed began initially with an exploration of the intelligibility of phase-only signals, that is ones for which the correct Fourier transform phase is combined with a constant or characteristic Fourier transform magnitude function. Motivated by the importance of Fourier transform phase in relation to Fourier transform magnitude, a theory and associated algorithms were then developed for the exact reconstruction of finite length signals from phase information alone.
© 1983 Optical Society of America
PDF ArticleMore Like This
Patrick L. Van Hove, Jae S. Lim, and Alan V. Oppenheim
ThA15 Signal Recovery and Synthesis (SRS) 1983
Figen S. Oktem and Haldun M. Ozaktas
JTu4A.18 Adaptive Optics: Methods, Analysis and Applications (AO) 2013
Herbert W. Swan and Joseph W. Goodman
ThA10 Signal Recovery and Synthesis (SRS) 1983