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

fYear

1992

fDate

7-9 Oct 1992

Firstpage

50

Lastpage

53

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/SSAP.1992.246846

Filename

246846