Multidimensional Two-channel Linear Phase FIR Filter Banksand Wavelet Bases with Vanishing Moments

Authors:
Todor Cooklev;Akinori Nishihara;Toshiyuki Yoshida;Mike Sablatash
Affiliations:
3Com Corporation, 605 N. 5600 West, Salt Lake City, UT 84116;Department of Physical Electronics, Tokyo Institute of Technology, Tokyo 152, Japan;Department of Information Processing, Tokyo Institute of Technology, Yokohama 227, Japan;Communications Research Centre, Ottawa, Ontario, Canada
Venue:
Multidimensional Systems and Signal Processing
Year:
1998

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Abstract

In the paper new design methods for multidimensionaltwo-channel perfect reconstruction (PR) FIR filter banks aredescribed. The filters have linear phase, achieve an arbitrarilyhigh number of vanishing moments and can be used to obtain biorthogonalwavelet bases. Two-dimensional wavelet bases with square, rectangular,and hexagonal support are constructed. A design method that tradesoff vanishing moments and frequency selectivity is described.These two properties are both important in subband coding, butthey each require a share of the degrees of freedom availablefrom the total number of filter coefficients. Novel analyticformulae are derived and are applied to provide illustrativeexamples.