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Steerable Discrete Fourier Transform

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arxiv 1703.05022 v1 pith:WR6IGQVY submitted 2017-03-15 cs.IT math.IT

Steerable Discrete Fourier Transform

classification cs.IT math.IT
keywords transformsfourierapplicationsdiscreteinterestnumeroussdftsteerable
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Directional transforms have recently raised a lot of interest thanks to their numerous applications in signal compression and analysis. In this letter, we introduce a generalization of the discrete Fourier transform, called steerable DFT (SDFT). Since the DFT is used in numerous fields, it may be of interest in a wide range of applications. Moreover, we also show that the SDFT is highly related to other well-known transforms, such as the Fourier sine and cosine transforms and the Hilbert transforms.

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