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- W1987172946 abstract "Most wavelet transforms used in practice are based on integer sampling factors. Wavelet transforms based on rational sampling factors offer in principle the potential for time-scale signal representations having a finer frequency resolution. Previous work on rational wavelet transforms and filter banks includes filter design methods and frequency domain implementations. We present several specific examples of Daubechies-type filters for a discrete orthonormal rational wavelet transform (FIR filters having a maximum number of vanishing moments) obtained using Gröbner bases. We also present the design of overcomplete rational wavelet wavelet transforms (tight frames) with FIR filters obtained using matrix spectral factorization." @default.
- W1987172946 created "2016-06-24" @default.
- W1987172946 creator A5046157113 @default.
- W1987172946 creator A5058321875 @default.
- W1987172946 date "2007-09-26" @default.
- W1987172946 modified "2023-09-23" @default.
- W1987172946 title "Design of orthonormal and overcomplete wavelet transforms based on rational sampling factors" @default.
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- W1987172946 doi "https://doi.org/10.1117/12.741073" @default.
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