Title :
Variable-block-size lapped transforms
Author :
De Queiroz, Ricardo L. ; Rao, K.R.
Author_Institution :
Texas Univ., Arlington, TX, USA
fDate :
12/1/1996 12:00:00 AM
Abstract :
A structure for implementing lapped transforms with time-varying block sizes that allows full orthogonality of the transient transforms is presented. The formulation is based on a factorization of the transfer matrix into orthogonal factors. Such an approach can be viewed as a sequence of stages with variable-block-size transforms separated by sample-shuffling (delay) stages. Details and design examples for a first-order system are presented
Keywords :
digital filters; matrix decomposition; signal sampling; time-varying filters; transforms; delay stages; design; factorization; first-order system; orthogonal factors; orthogonality; sample-shuffling; time-varying block sizes; transfer matrix; transient transforms; variable-block-size lapped transforms; Channel bank filters; Delay; Filter bank; Finite impulse response filter; Image reconstruction; Polynomials; Signal resolution; Symmetric matrices; Time frequency analysis; Transform coding;
Journal_Title :
Signal Processing, IEEE Transactions on