The Cauchy/Schwarz Inequality As A Constraint In Power Spectrum/Autocorrelation Analysis And Image Reconstruction

W. J. Cocke

doi:10.1117/12.949519

25 November 1985 The Cauchy/Schwarz Inequality As A Constraint In Power Spectrum/Autocorrelation Analysis And Image Reconstruction

W. J. Cocke

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Proceedings Volume 0556, Intl Conf on Speckle; (1985) https://doi.org/10.1117/12.949519
Event: 29th Annual Technical Symposium, 1985, San Diego, United States

Abstract

The Cauchy/Schwarz inequality is applied to image reconstruction and power spectrum analysis in the case where the image or autocorrelation in question is assumed to be non-negative. The inequality is a restriction on the Fourier transform and is shown to be a useful diagnostic in phaseless multidimensional image reconstruction and power spectrum analysis. Since all power spectra are non-negative, the inequality holds for all autocorrelations.

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W. J. Cocke "The Cauchy/Schwarz Inequality As A Constraint In Power Spectrum/Autocorrelation Analysis And Image Reconstruction", Proc. SPIE 0556, Intl Conf on Speckle, (25 November 1985); https://doi.org/10.1117/12.949519

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