Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1154165 | Statistics & Probability Letters | 2007 | 8 Pages |
Abstract
In the Fourier representation of signals and images, phases have long been realized to be more important than magnitudes in the reconstruction. In this paper, a justification is presented from a statistical viewpoint. The main result shows that under random magnitudes, the DC component of the inverse Fourier transform converges to a positive value, while all the other components converge to zero. For random phases, such a result does not exist.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Xuelei (Sherry) Ni, Xiaoming Huo,