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20 September 2007 Short-term spectral analysis and synthesis improvements with oversampled inverse filter banks
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Abstract
The Short Term Fourier Transform (STFT) is a classical linear time-frequency (T-F) representation. Despites its relative simplicity, it has become a standard tool for the analysis of non-stationary signals. Since it provides a redundant representation, it raises some issues such as (i) "optimal" window choice for analysis, (ii) existence and determination of an inverse transformation, (iii) performance of analysis-modification-synthesis, or reconstruction of selected components of the time-frequency plane and (iv) redundancy controllability for low-cost applications, e.g. real-time computations. We address some of these issues, as well as the less often mentioned problem of transform symmetry in the inverse, through oversampled FBs and their optimized inverse(s) in a slightly more general setting than the discrete windowed Fourier transform.
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Jérôme Gauthier and Laurent Duval "Short-term spectral analysis and synthesis improvements with oversampled inverse filter banks", Proc. SPIE 6701, Wavelets XII, 67012E (20 September 2007); https://doi.org/10.1117/12.735534
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