Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Vector Game Math Processors with Cdrom
Vector Game Math Processors with Cdrom
Quaternionic lattice structures for four-channel paraunitary filter banks
EURASIP Journal on Applied Signal Processing
IEEE Transactions on Parallel and Distributed Systems
Time-domain oversampled lapped transforms: theory, structure, and application in image coding
IEEE Transactions on Signal Processing - Part I
On coefficient-quantization and computational roundoff effects inlossless multirate filter banks
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
On factorization of M-channel paraunitary filterbanks
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
DCT-based general structure for linear-phase paraunitary filterbanks
IEEE Transactions on Signal Processing
Multirate filter banks and transform coding gain
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Linear phase paraunitary filter banks: theory, factorizations anddesigns
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Theory and factorization for a class of structurally regular biorthogonal filter banks
IEEE Transactions on Signal Processing
The role of lossless systems in modern digital signal processing: atutorial
IEEE Transactions on Education
Hi-index | 0.09 |
Novel factorizations for 8- and 6-channel linear-phase paraunitary filter banks are presented, which are aimed at finite-precision implementation. Using quaternion multipliers as essential building blocks, computational schemes for both critically sampled and oversampled systems, including those with pairwise-mirror-image (PMI) symmetric responses, have been made inherently lossless at the cost of extra operations. Compared to the known dyadic-based solution of this sort, which consists in norm equalization using double-precision scalings, the proposed structures are characterized by similar complexity but are more consistent in terms of wordlength. Additionally, one-regularity (zero DC leakage) constraints can be formulated in terms of hypercomplex coefficients, so that they can be used in the discrete domain, unlike the known method of constraining rotation angles, and an arbitrary stage can be constrained, not only the initial one, as in the known dyadic/lifting-based approach. Even though the quaternion approach is not as general as the mentioned ones, 8-channel systems it applies to are of primary importance in image processing.