25 November 1985 The Cauchy/Schwarz Inequality As A Constraint In Power Spectrum/Autocorrelation Analysis And Image Reconstruction
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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.
© (1985) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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); doi: 10.1117/12.949519; https://doi.org/10.1117/12.949519
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