Search results for "Gabor wavelet"

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Periodic Spline Wavelets and Wavelet Packets

2014

This chapter presents wavelets and wavelet packets in the spaces of periodic splines of arbitrary order, which, in essence, are the multiple generators for these spaces. The SHA technique provides explicit representation of the wavelets and wavelet packets and fast implementation of the transforms in one and several dimensions.

Discrete wavelet transformSpline (mathematics)WaveletLifting schemeLegendre waveletComputer scienceGabor waveletComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONMathematicsofComputing_NUMERICALANALYSISOrthonormal basisData_CODINGANDINFORMATIONTHEORYAlgorithmWavelet packet decomposition
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A Linear Cost Algorithm to Compute the Discrete Gabor Transform

2010

In this paper, we propose an alternative efficient method to calculate the Gabor coefficients of a signal given a synthesis window with a support of size much lesser than the length of the signal. The algorithm uses the canonical dual of the window (which does not need to be calculated beforehand) and achieves a computational cost that is linear with the signal length in both analysis and synthesis. This is done by exploiting the block structure of the matrices and using an ad hoc Cholesky decomposition of the Gabor frame matrix.

Matrix (mathematics)Signal ProcessingGabor waveletShort-time Fourier transformGabor transformElectrical and Electronic EngineeringAlgorithmSparse matrixMathematicsMatrix decompositionCholesky decompositionTime–frequency analysisIEEE Transactions on Signal Processing
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