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Arbitrary audio FIR filter design by bode plot smoothing using tuneable approximate piecewise linear regression

Zaknich, A. and Lee, G.E. (2006) Arbitrary audio FIR filter design by bode plot smoothing using tuneable approximate piecewise linear regression. In: 1st Australasian Acoustical Societies' Conference: Noise of Progress, ACOUSTICS 2006, 20 - 22 November, Christchurch; New Zealand pp. 219-223.

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Abstract

A method for the design of arbitrary minimum or linear phase FIR filters is developed for audio applications by using the Tuneable Approximate Piecewise Linear Regression (TAPLR) method to smooth the required FIR magnitude frequency response from a prototype Bode plot model. The TAPLR method incorporates a set of contiguous piecewise linear (affine) sections, which are coupled and smoothed by a single tuning parameter associated with a set of amplitude weighted Radial Basis Functions (RBFs) assigned to each linear section. The Bode plot also consists of a set of contiguous linear asymptotes plotted on a log-log scale, which makes it a perfect candidate for modelling and smoothing by the TAPLR method. The TAPLR smoothing turns the artificial asymptotic magnitude plot into a realisable magnitude response curve, which can be made to be band-limited with a finite impulse response by the appropriate degree of smoothing. A typical FIR filter design example for audio system equalisation is provided to show the value and versatility of the method. Also, two Bode plot filter prototypes are presented to show how well the new modelling approach can capture them and adapt them to suitable band-limited FIR filter designs.

Publication Type: Conference Paper
Murdoch Affiliation: School of Engineering and Energy
Copyright: © (2006) by the Australian Acoustical Society
URI: http://researchrepository.murdoch.edu.au/id/eprint/16807
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