| Time-varying Filter
Interpretation of Fourier Transform and its Variants Prasanta Kumar Ghosh and T.V. Sreenivas Signal Processing (Elsevier), Volume 86, Issue 11, November 2006, Pages 3258-3263 |
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 short-time 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. |
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