Multirate systems and filter banks
Multirate systems and filter banks
IEEE Transactions on Signal Processing
Regularity-constrained pre- and post-filtering for block DCT-based systems
IEEE Transactions on Signal Processing
A class of M-channel linear-phase biorthogonal filter banks andtheir applications to subband coding
IEEE Transactions on Signal Processing
On M-channel linear phase FIR filter banks and application in imagecompression
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
The GenLOT: generalized linear-phase lapped orthogonal transform
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Lapped transform via time-domain pre- and post-filtering
IEEE Transactions on Signal Processing
DCT-based general structure for linear-phase paraunitary filterbanks
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
Hi-index | 35.68 |
This correspondence extends the theory and lattice factorizations for M -channel linear phase perfect reconstruction filter banks (LPPRFBs). We deal with FIR FBs with real-valued filter coefficients in which all filters have the same arbitrary length L = KM + β (O ≤ β M) and same symmetry center, in contrast to traditional constrained length profile L = KM. First, refined existence conditions on this larger class of FBs are given. Then, lattice structures are developed for both odd and even-channel FBs, and their relationship with time-domain lapped transforms is explained. These structures are more general compared to conventional design methods, and cover them as special cases. Furthermore, we discuss how to structurally impose the regularity onto the lattice structure to ensure the smoothness of the basis function, which is very desirable in high performance image compression. Finally, these lattice structures are proven to be minimal in terms of the number of delay elements used in implementation, and to completely span the class of LPPRFBs with length L ≤ 2M and the whole class of linear phase paraunitary filter banks (LPPUFBs).