MSE filter design and spectrum parameterization by orthogonal FAM transform

Author

Laine, Unto K.

Author_Institution

Helsinki Univ. of Technol., Espoo, Finland

fYear

1993

fDate

3-6 May 1993

Firstpage

148

Abstract

An orthonormal set of the frequency amplitude modulated (FAM) class of functions is used to produce a frequency domain FAM transform suitable for infinite impulse response (IIR) filter design with least squared error criterion. The orthonormal basis used is chosen to be effectively implemented by a set of identical second order allpass filters equipped with a common magnitude weighting. The allpass parameters (θ, r) are first adapted to the problem in order to get rapid convergence in the mean squared error (MSE). The results show that the new method produces IIR filters with the same or better (in MSE sense) frequency domain response than finite impulse response (FIR) filters with 5 to 7 times higher order. The method allows optimization of the group delay properties. There are three different ways to approximate linear phase characteristics in the IIR filters produced

Keywords

IIR filters; convergence; delay circuits; delays; digital filters; filtering theory; frequency response; least mean squares methods; transforms; IIR filters; MSE filter design; common magnitude weighting; frequency amplitude modulated functions; frequency domain response; frequency domain transform; group delay properties; infinite impulse response; least squared error criterion; linear phase characteristics; mean squared error; optimization; orthogonal FAM transform; rapid convergence; second order allpass filters; spectrum parameterization; Acoustics; Convergence of numerical methods; Delay; Equations; Finite impulse response filter; Fourier transforms; Frequency domain analysis; Frequency response; IIR filters; Minimization methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on

Conference_Location

Chicago, IL

Print_ISBN

0-7803-1281-3

Type

conf

DOI

10.1109/ISCAS.1993.393679

Filename

393679