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Minimax spectrum shaping with a bandwidth constraint

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Abstract

A new approach to spectrum shaping, in which the maximum of the spectrum is minimized subject to a constraint on the bandwidth, is considered. The results can be applied to a variety of methods of digital holography. A lower bound for the maximum and a figure of merit are obtained. Practical methods for minimax shaping of the spectrum are described and compared via computer simulations. The results of these simulations indicate that the lower bound is relatively tight, and the figure of merit is a good one.

© 1975 Optical Society of America

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