Time-varying filter interpretation of Fourier transform and its variants

Ghosh, Prasanta K and Sreenivas, TV (2006) Time-varying filter interpretation of Fourier transform and its variants. In: Signal Processing, 86 (11). pp. 3258-3263.

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Abstract

We show that a stationary signal concept such as the Fourier transform (FT) can be linked to a time-varying (TV) concept such as linear TV filtering. In particular, we give a continuous-time and discrete-time linear TV filter interpretation to continuous-time FT and discrete Fourier transform (DFT), respectively. As a consequence, important variants such as warped DFT, DCT, DST also can be viewed as linear TV filtering operations. Extending these results, we show that shorttime Fourier transform (STFT) can be viewed as a linear TV filterbank operation, thereby interpreting time-varying spectrum of a signal as the output of a linear TV filterbank.

Item Type:	Journal Article
Publication:	Signal Processing
Publisher:	Elsevier
Additional Information:	Copyright of this article belongs to Elsevier.
Keywords:	Time-varying filter;Fourier transform;Short-time Fourier transform
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	26 May 2008
Last Modified:	19 Sep 2010 04:45
URI:	http://eprints.iisc.ac.in/id/eprint/14050

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