Hermite polynomials for signal reconstruction from zero-crossings. 1. One-dimensional signals

Venkatesh, Y. V. (1992) Hermite polynomials for signal reconstruction from zero-crossings. 1. One-dimensional signals IEE Proceedings - Part I: Communications, Speech & Vision, 139 (6). pp. 587-596. ISSN 0956-3776

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Abstract

Generalised Hermite polynomials are employed for the reconstruction of an unknown signal from a knowledge of its zero-crossings, under certain conditions on its spatial/spectral width, but dispensing with the assumption of bandlimitedness. A computational implementation of the proposed method is given for one-variable (or one-dimensional) signals, featuring an application of simulated annealing for optimal reconstruction.

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