Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)

Pacific Grove, CA, USA

Oct. 31, 1994 to Nov. 2, 1994

ISSN: 1058-6393

ISBN: 0-8186-6405-3

pp: 996-1000

M.S. Spurbeck , Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA

L.L. Scharf , Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA

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.<>

INDEX TERMS

band-pass filters, filtering theory, least squares approximations, MIMO systems, signal reconstruction, transfer functions, matrix algebra, Chebyshev filters

CITATION

M. Spurbeck and L. Scharf, "Least square filters for approximating perfect reconstruction filter banks,"

*Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC)*, Pacific Grove, CA, USA, 1995, pp. 996-1000.

doi:10.1109/ACSSC.1994.471609

CITATIONS