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A fractional Gabor expansion

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2003

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We present a fractional Gabor expansion on a non-rectangular time-frequency lattice. Sinusoidal analysis used in the traditional Gabor expansion is not appropriate for a compact representation for chirp-type signals. Basis functions of the proposed expansion are obtained via fractional Fourier basis. Completeness and biorthogonality conditions of the new expansion are derived. © 2003 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. © 2008 Elsevier B.V., All rights reserved.

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https://doi.org/10.1016/j.jfranklin.2003.08.004
 https://hdl.handle.net/20.500.14719/14047

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