6533b831fe1ef96bd1299b26

RESEARCH PRODUCT

Fractional wavelet transform

Zeev ZalevskyDavid MasJavier GarciaDavid MendlovicCarlos Ferreira

subject

Discrete wavelet transformLifting schemeComputer scienceNon-uniform discrete Fourier transformMaterials Science (miscellaneous)Stationary wavelet transformComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONTop-hat transformImage processingData_CODINGANDINFORMATIONTHEORYIndustrial and Manufacturing EngineeringDiscrete Fourier transformWavelet packet decompositionsymbols.namesakeDiscrete Fourier transform (general)Multidimensional signal processingOpticsWaveletHartley transformBusiness and International ManagementS transformConstant Q transformContinuous wavelet transformSignal processingbusiness.industrySecond-generation wavelet transformFourier opticsShort-time Fourier transformWavelet transformFractional wavelet transformFractional Fourier transformTime–frequency analysisFourier transformsymbolsHarmonic wavelet transformbusinessAlgorithmImage compression

description

The wavelet transform, which has had a growing importance in signal and image processing, has been generalized by association with both the wavelet transform and the fractional Fourier transform. Possible implementations of the new transformation are in image compression, image transmission, transient signal processing, etc. Computer simulations demonstrate the abilities of the novel transform. Optical implementation of this transform is briefly discussed.

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