The reconstruction of discontinuous piecewise polynomial signals

Abstract

The Gibbs phenomenon was recognized as early as 1898 by Michelson and Stratton. Gibbs oscillations occur during the reconstruction of discontinuous functions from a truncated periodic series expansion, such as a truncated Fourier series expansion or a truncated discrete Fourier transform expansion. Recent theoretical results have shown that Gibbs… (More)
DOI: 10.1109/TSP.2005.849217

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