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EURASIP Journal on Advances in Signal Processing

, 2014:181

First Online: 16 December 2014Received: 08 September 2014Accepted: 09 December 2014

Abstract

In this paper, we show that there are a number of uncertainty principles for the local polynomial Fourier transform and local polynomial periodogram. Systematic analysis of uncertainty principles is given, explicit expressions of the uncertainty relations are derived, and an example using the chirp signal and the Gaussian window function is given to verify the expressions.

AbbreviationsLPFTlocal polynomial Fourier transform

LPPlocal polynomial periodogram

STFTshort-time Fourier transform.

Electronic supplementary materialThe online version of this article doi:10.1186-1687-6180-2014-181 contains supplementary material, which is available to authorized users.

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Autor: Xiumei Li - Guoan Bi

Fuente: https://link.springer.com/







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