zbMATH — the first resource for mathematics

A recursive least squares algorithm for an orthogonal IIR adaptive line enhancer. (English) Zbl 0859.94003
Summary: A novel method is described for the frequency estimation of signals from a noisy background. It is based on realizing the IIR adaptive filter as a parallel connection of discrete orthogonal sections. A fast Gauss-Newton type recursive algorithm has also been derived to update the parameters of these orthogonal sections. It has been shown that for highly noisy signals, this approach significantly improves the frequency estimation capabilities as well as increases the overall signal-to-noise ratio of the adaptive recursive filters. Illustrative examples are given to verify these results.
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
93E11 Filtering in stochastic control theory
68W10 Parallel algorithms in computer science
68U20 Simulation (MSC2010)
Full Text: DOI
[1] Tavsanoglu, IEEE Trans. Circuits and Systems CAS- 31 pp 884– (1984)
[2] Thiele, Int. j. cir. theor. appl. 12 pp 39– (1984)
[3] Thiele, IEEE Trans. Circuits and Systems CAS- 33 pp 502– (1986)
[4] Li, IEEE Trans. Circuits and Systems I CAS- 39 pp 365– (1992)
[5] Lutz, IEEE Trans. Circuits and Systems CAS- 35 pp 1114– (1988)
[6] Hinamoto, Int. J. Syst. Sci. 22 pp 1729– (1991)
[7] Hwang, IEEE Trans. Acoust., Speech Signal Process. ASSP- 25 pp 273– (1977)
[8] Amit, IEEE Trans. Acoust., Speech, Signal Process. ASSP- 36 pp 880– (1988)
[9] Moore, IEEE Trans. Automatic Control AC- 26 pp 17– (1981)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.