The reconstruction of discontinuous piecewise polynomial signals


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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