Abstract
Usually a wavelet transform is based on dilated–translated wavelets. We propose a symplectic-transformed–translated wavelet family ( are the symplectic transform parameters, , κ is a translation parameter) generated from the mother wavelet ψ and the corresponding wavelet transformation . This new transform possesses well-behaved properties and is related to the optical Fresnel transform in quantum mechanical version.
© 2006 Optical Society of America
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