\input zb-basic \input zb-ioport \iteman{io-port 05623186} \itemau{Ghosh, Prasanta Kumar; Sreenivas, T.V.} \itemti{Time-varying filter interpretation of Fourier transform and its variants.} \itemso{Signal Process. 86, No. 11, 3258-3263 (2006).} \itemab Summary: 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. \itemrv{~} \itemcc{} \itemut{time-varying filter; Fourier transform; short-time Fourier transform} \itemli{doi:10.1016/j.sigpro.2006.01.005} \end