Dense grid sibling frames with linear phase filters

Farras Abdelnour

doi:10.1117/12.2027178

26 September 2013 Dense grid sibling frames with linear phase filters

Farras Abdelnour

Proceedings Volume 8858, Wavelets and Sparsity XV; 885827 (2013) https://doi.org/10.1117/12.2027178
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

We introduce new 5-band dyadic sibling frames with dense time-frequency grid. Given a lowpass filter satisfying certain conditions, the remaining filters are obtained using spectral factorization. The analysis and synthesis filterbanks share the same lowpass and bandpass filters but have different and oversampled highpass filters. This leads to wavelets approximating shift-invariance. The filters are FIR, have linear phase, and the resulting wavelets have vanishing moments. The filters are designed using spectral factorization method. The proposed method leads to smooth limit functions with higher approximation order, and computationally stable filterbanks.

Citation Download Citation

Farras Abdelnour "Dense grid sibling frames with linear phase filters", Proc. SPIE 8858, Wavelets and Sparsity XV, 885827 (26 September 2013); https://doi.org/10.1117/12.2027178

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