Title
Statistical Interpretation of the Importance of Phase Information in Signal and Image Reconstruction
Department
Statistics and Analytical Sciences
Document Type
Article
Publication Date
2-15-2007
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.
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