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Statistical interpretation of the importance of phase information in signal and image reconstruction

Author

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  • Ni, Xuelei (Sherry)
  • Huo, Xiaoming

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.

Suggested Citation

  • Ni, Xuelei (Sherry) & Huo, Xiaoming, 2007. "Statistical interpretation of the importance of phase information in signal and image reconstruction," Statistics & Probability Letters, Elsevier, vol. 77(4), pages 447-454, February.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:4:p:447-454
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