ARBITRARY MULTIFREQUENCY ESTIMATION AND THE RELATIONSHIP BETWEEN THE LMS AND GOERTZEL ALGORITHMS

Citation
Jf. Chicharo et Mt. Kilani, ARBITRARY MULTIFREQUENCY ESTIMATION AND THE RELATIONSHIP BETWEEN THE LMS AND GOERTZEL ALGORITHMS, International journal of electronics, 83(3), 1997, pp. 287-298
Citations number
12
Categorie Soggetti
Engineering, Eletrical & Electronic
ISSN journal
00207217
Volume
83
Issue
3
Year of publication
1997
Pages
287 - 298
Database
ISI
SICI code
0020-7217(1997)83:3<287:AMEATR>2.0.ZU;2-C
Abstract
The relationship between the LMS and the sliding Goertzel (SG) algorit hms for Fourier coefficient estimation of sinusoidal components is des cribed given a priori information of the input frequencies. This relat ionship is established from the point of view that both methods may be considered as narrow bandpass filters tuned to the exact input freque ncy locations. The LMS algorithm is equivalent to an infinite impulse response (IIR) filter bank which has similar parametrization as the re sonator-based filter bank proposed by Padmanabhan and Martin (1987). I t is also shown that the SG algorithm provides significant computation al savings when compared to the LMS algorithm under the same accuracy and acquisition time conditions. For illustration purposes the problem of dual tone multifrequency (DTMF) estimation and detection is consid ered.