Title :
Lapped transforms of arbitrary block size
Author :
Tran, Trac D. ; Nguyen, Truong Q.
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
Abstract :
This paper presents the theory, structure, design, and implementation of lapped transforms (LTs) with arbitrary block size. These new transforms are basically M-channel linear phase perfect reconstruction filter banks (LPPRFBs) with all filters having the same length L=KM+/spl beta/, where K and /spl beta/ are any integers, K/spl ges/1,/spl beta//spl ges/0. This is the truly general lapped transform where the amount of overlap is not constrained to be a multiple of the number of channels. The design approach is based on the transform´s parameterization by a lattice structure that can be proven to be complete, minimal, robust and modular. Design examples show that the new family of LTs is comparable to the ones in previous works while providing more flexibility in the trade-off between transform performance and complexity.
Keywords :
FIR filters; channel bank filters; digital filters; image coding; image reconstruction; lattice filters; singular value decomposition; transform coding; transforms; FIR filter; SVD; arbitrary block size; complete lattice structure; general lapped transform; image coding; lapped transforms design; linear phase perfect reconstruction filter banks; minimal lattice structure; modular lattice structure; multichannel filter banks; robust lattice structure; transform complexity; transform parameterization; transform performance; Channel bank filters; Costs; Discrete cosine transforms; Filter bank; Finite impulse response filter; Image coding; Image reconstruction; Lattices; Nonlinear filters; Robustness;
Conference_Titel :
Signals, Systems & Computers, 1998. Conference Record of the Thirty-Second Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-7803-5148-7
DOI :
10.1109/ACSSC.1998.751560
