The authors consider the problem of retrieving a finite-extent signal from the magnitude of its Fourier transform. They consider the discrete phase retrieval problem as a special case of a more general problem that consists of recovering a real valued signal x2 from the magnitude of the output of a linear distortion: Hx (j), j equals 1,. . . ,n . An important result concerning the conditioning of this problem is obtained for this general setting by means of algebraic-geometric techniques. In particular, the problems of the existence of a solution for phase retrieval, conditioning of the problem, and stability of the (essentially) unique solution are addressed.
|Number of pages
|ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
|Published - 1985
ASJC Scopus subject areas
- Signal Processing
- Electrical and Electronic Engineering
- Acoustics and Ultrasonics