Optimal two channel synthesis IIR filter banks with subband noise

Author

Ortiz, J. Hernán Scalabrini ; Castiglioni, Francisco E. ; Tressens, Sara

Author_Institution

Fac. de Ingenieria, Buenos Aires Univ., Argentina

Volume

2

fYear

1998

fDate

1-4 Nov. 1998

Firstpage

1660

Abstract

We discuss the design of IIR synthesis filter banks with subband noise. Here we interpret filter banks (FB) as multiple input multiple output (MIMO) systems. The design of the FB is done obtaining the optimal IIR causal stable filter for a MIMO system in a mean squared error (MSE) sense. In this way, it is necessary to factorize a matrix whose entries are the estimations of the spectral densities of each subband signal. For the two bands case, if the diagonal entries of the matrix are all poles rational functions, the factorization can be obtained.

Keywords

IIR filters; MIMO systems; circuit optimisation; circuit stability; digital filters; matrix decomposition; mean square error methods; noise; poles and zeros; rational functions; signal reconstruction; spectral analysis; MIMO system; MSE; matrix factorisation; mean squared error; multiple input multiple output systems; optimal IIR causal stable filter; perfect reconstruction; poles; rational functions; spectral density estimation; subband noise; subband signal; two channel synthesis IIR filter banks; Filter bank; Filtering; Finite impulse response filter; IIR filters; MIMO; Matrix decomposition; Signal analysis; Signal processing; Signal synthesis; White noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems & Computers, 1998. Conference Record of the Thirty-Second Asilomar Conference on

Conference_Location

Pacific Grove, CA, USA

ISSN

1058-6393

Print_ISBN

0-7803-5148-7

Type

conf

DOI

10.1109/ACSSC.1998.751608

Filename

751608