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Please use this identifier to cite or link to this item: http://hdl.handle.net/10362/2617

Título: The comb signal and its Fourier transform
Autor: Ortigueira, M.D.
Palavras-chave: Comb
Anharmonic Fourier Series
Irregular sampling
Almost periodic
Issue Date: 2001
Editora: Elsevier Science B.V.
Resumo: In this paper, we study the aperiodic comb signalfrom the point of view of the Fourier transform. The comb is very important in the theory of ideal sampling. The knowledge of its properties is crucial for the establishment of suitable interpolation schemes. Here, we present sufficient conditions so that the Fourier transform of an aperiodic comb is an aperiodic comb. We use this result to propose: (1) an alternative approach to the de"nition of an almost periodic signal and its anharmonic Fourier series; (2) a generalisation of the Shannon}Whittakker sampling/reconstruction for the irregular sampling case. Application of this theory to pulse duration modulation and pulse position modulation is also presented.
Descrição: SignalProcessing, Vol. 81, nº 3
URI: http://hdl.handle.net/10362/2617
ISSN: 0165-1684
Appears in Collections:FCT: DEE - Artigos em revista internacional com arbitragem científica

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