On efficient implementation of oversampled linear phase perfect reconstruction filter banks
ICME '03 Proceedings of the 2003 International Conference on Multimedia and Expo - Volume 2
2D four-channel perfect reconstruction filter bank realized with the 2D lattice filter structure
EURASIP Journal on Applied Signal Processing
Blind paraunitary equalization
Signal Processing
Blind paraunitary equalization
Signal Processing
Design of M-Channel Perfect Reconstruction Filter Banks with IIR-FIR Hybrid Building Blocks
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
An algorithm for calculating the QR and singular value decompositions of polynomial matrices
IEEE Transactions on Signal Processing
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We systematically investigate the factorization of causal finite impulse response (FIR) paraunitary filterbanks with given filter length. Based on the singular value decomposition of the coefficient matrices of the polyphase representation, a fundamental order-one factorization form is first proposed for general paraunitary systems. Then, we develop a new structure for the design and implementation of paraunitary system based on the decomposition of Hermitian unitary matrices. Within this framework, the linear-phase filterbank and pairwise mirror-image symmetry filterbank are revisited. Their structures are special cases of the proposed general structures. Compared with the existing structures, more efficient ones that only use approximately half the number of free parameters are derived. The proposed structures are complete and minimal. Although the factorization theory with or without constraints is discussed in the framework of M-channel filterbanks, the results can be applied to wavelets and multiwavelet systems and could serve as a general theory for paraunitary systems