## Abstract

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.

Original language | English (US) |
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Pages (from-to) | 1065-1068 |

Number of pages | 4 |

Journal | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |

State | Published - 1985 |

Externally published | Yes |

## ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering
- Acoustics and Ultrasonics