Title :
Time-varying lapped transforms and wavelet packets
Author :
De Queiroz, Ricardo L. ; Rao, K.R.
Author_Institution :
Dept. of Electr. Eng., Texas Univ., Arlington, TX, USA
fDate :
12/1/1993 12:00:00 AM
Abstract :
The perfect reconstruction conditions for a time-varying lapped transform (paraunitary filter bank) are developed through the factorization of the transform matrix into sparse factors. A general formulation is presented allowing one to switch between two paraunitary filter banks. However, the extended lapped transform (ELT) is often used as an example. Furthermore, an adaptive wavelet packet is developed employing a time varying, tree association of ELTs. In all cases perfect reconstruction is inherently assured
Keywords :
adaptive filters; digital filters; filtering and prediction theory; time-varying networks; trees (mathematics); wavelet transforms; ELT; adaptive wavelet packet; extended lapped transform; factorization; paraunitary filter bank; reconstruction; sparse factors; time varying tree association; time-varying lapped transform; transform matrix; Digital signal processing; Discrete transforms; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Modems; Sparse matrices; Switches; Wavelet packets; Wavelet transforms;
Journal_Title :
Signal Processing, IEEE Transactions on
