Title :
Principal component filter banks for optimum wavelet analysis
Author :
Tsatsanis, Michail K. ; Giannakis, Georgios B.
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
Optimality issues are addressed when multiresolution methods are applied to random signals. An optimal P-band perfect reconstruction filter bank is derived, which decomposes the input signal into its lower-resolution principal components. Results are developed for stationary processes and a class of nonstationary processes, which includes cyclostationary signals. FIR designs are discussed and some examples presented
Keywords :
digital filters; discrete time systems; filtering and prediction theory; random processes; signal processing; wavelet transforms; FIR designs; cyclostationary signals; multiresolution methods; nonstationary processes; optimum wavelet analysis; perfect reconstruction filter bank; principal components; random signals; Channel bank filters; Computer aided software engineering; Filter bank; Finite impulse response filter; Fires; Frequency; Image coding; Image reconstruction; Speech; Wavelet analysis;
Conference_Titel :
Statistical Signal and Array Processing, 1992. Conference Proceedings., IEEE Sixth SP Workshop on
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0508-6
DOI :
10.1109/SSAP.1992.246846
