Linear phase orthonormal filter banks

Paraunitary systems in which each individual filter in the analysis and synthesis banks has linear phase are studied. This property is often desirable for several applications, particularly in image processing. Several theoretical questions pertaining to linear phase paraunitary systems are answered. Next, a factorization for such systems is developed which is proved to be minimal as well as complete. The number of parameters in the optimization process is reduced by structurally imposing the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. Examples of M-band linear phase orthonormal wavelets are presented.<<ETX>>

[1]  P. P. Vaidyanathan,et al.  Coding gain in paraunitary analysis/synthesis systems , 1993, IEEE Trans. Signal Process..

[2]  Truong Q. Nguyen,et al.  Linear phase paraunitary filter banks: theory, factorizations and designs , 1993, IEEE Trans. Signal Process..

[3]  John Princen,et al.  Analysis/Synthesis filter bank design based on time domain aliasing cancellation , 1986, IEEE Trans. Acoust. Speech Signal Process..

[4]  Martin Vetterli,et al.  Perfect reconstruction FIR filter banks: some properties and factorizations , 1989, IEEE Trans. Acoust. Speech Signal Process..

[5]  Henrique S. Malvar,et al.  The LOT: transform coding without blocking effects , 1989, IEEE Trans. Acoust. Speech Signal Process..

[6]  John W. Woods,et al.  Subband coding of images , 1986, IEEE Trans. Acoust. Speech Signal Process..

[7]  T. Barnwell,et al.  A procedure for designing exact reconstruction filter banks for tree-structured subband coders , 1984, ICASSP.