Procedures for signal reconstruction from noisy phase
Abstract
In this paper a class of iterative procedures is presented for reconstructing a finite duration sequence from noisy samples of its Fourier transform phase. These measurement are combined with a knowledge of the true transform magnitude and/or hard constraints on the phase noise variations to define sets whose intersection must contain the true sequence. The algorithms iterate between the sequence domain and the transform domain applying the known constraints (i.e., finite duration and known limits on phase variation) in each domain. Results of an experimental investigation are presented. A method is described for the case where limits on both the magnitude and phase variation of a finite length sequence are known.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1984
 Bibcode:
 1984STIN...8429120T
 Keywords:

 Algorithms;
 Finite Element Method;
 Fourier Transformation;
 Iteration;
 Noise Reduction;
 Sequencing;
 Procedures;
 Reconstruction;
 Signal Processing;
 Time;
 Electronics and Electrical Engineering