Title :
Least square filters for approximating perfect reconstruction filter banks
Author :
Spurbeck, Mark S. ; Scharf, Louis L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
fDate :
31 Oct-2 Nov 1994
Abstract :
This paper presents a least squares (LS) design methodology for approximating perfect reconstruction filter banks. A filter bank can be represented as a multi-input multi-output (MIMO) LTI system whose transfer function is described by the filter bank polyphase matrix. Rising this MIMO system representation, we frame a general least squares filter design problem. Then given an arbitrary set of rational analysis filters we find the causal synthesis filters for a filter bank which achieves the best causal LS approximation to perfect reconstruction
Keywords :
Chebyshev filters; MIMO systems; band-pass filters; filtering theory; least squares approximations; matrix algebra; signal reconstruction; transfer functions; LTI system; MIMO system representation; causal synthesis filters; filter bank polyphase matrix; filter banks approximation; least square filters; least squares approximation; least squares filter design; multi-input multi-output LTI system; perfect reconstruction filter banks; rational analysis filters; transfer function; Approximation error; Channel bank filters; Delay; Equations; Filter bank; Least squares approximation; MIMO; Phase distortion; Technological innovation; Transfer functions;
Conference_Titel :
Signals, Systems and Computers, 1994. 1994 Conference Record of the Twenty-Eighth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-6405-3
DOI :
10.1109/ACSSC.1994.471609
