Proceedings PaperThe Cauchy/Schwarz Inequality As A Constraint In Power Spectrum/Autocorrelation Analysis And Image Reconstruction
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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.