Discrete Time-Frequency Representations: Gabor Frames

doi:https://doi.org/10.1007/978-1-4612-0003-1_6

Discrete Time-Frequency Representations: Gabor Frames

Karlheinz Gröchenig-2001-01-01-Applied and numerical harmonic analysis

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TL;DRAbstract

So far we have discussed continuous time-frequency representations only. They are satisfactory for most theoretical aspects of time-frequency analysis, but not always for practical purposes. To understand what is needed, we consider again the inversion formula (3.20) for the STFT.

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So far we have discussed continuous time-frequency representations only. They are satisfactory for most theoretical aspects of time-frequency analysis, but not always for practical purposes. To understand what is needed, we consider again the inversion formula (3.20) for the STFT.

Keywords

Short-time Fourier transformTime–frequency analysisGabor transformInversion (geology)Computer scienceTime–frequency representationGabor waveletFourier transform

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