Abstract
A diverse choice of biquad designs is available for adaptive notch filtering or line enhancement (ANF/ALE) applications. We consider one such biquad proposed over a decade ago by David and coworkers and show its equivalence to two other formulations in terms of their pole-zero pair locations in thez-plane. By equivalence, we imply that all these adaptive IIR filters possess comparable asymptotic performance. Further, a simple modification, involving only a normalizing factor, is seen to enhance the performance of this filter. This modified ANF/ALE design is then shown to be equivalent to two other recently proposed adaptive biquads.
Similar content being viewed by others
References
Cho N I, Lee S U 1993 On adaptive lattice notch filter for the detection of sinusoids.IEEE Trans. Circuits Syst. 40: 405–415
Cho N I, Choi C-H, Lee S U 1990 Adaptive line enhancer using IIR notch filter.IEEE Trans. Acoust. Speech Signal Process. 37: 585–589
Cupo R L, Gitlin R D 1989 Adaptive carrier recovery systems for digital data communications receivers.IEEE J. Selected Areas Commun. JSAC-7: 1328–1339
David R A, Stearns S D, Elliot G R, Etter D M 1983 IIR algorithm for adaptive line enhancement.Proc. IEEE Int. Conf. Acoustics Speech Signal Processing pp 17–20
Farhang-Boroujeny B 1994 An IIR adaptive line enhancer with controlled bandwidth.Proc. Singapore Int. Conf. Circuits and Systems ’94 pp 835–839
Hush D R, Ahmed N, David R, Stearns S D 1986 An adaptive IIR structure for sinusoidal enhancement, frequency estimation and detection.IEEE Trans. Acoust. Speech Signal Process. 34: 1380–1389
Krishna V V, Hiremath C G 1995 Adaptive IIR Notch Filters. Technical Report No. 95-4/BRC, Signion Systems Pvt. Ltd.
Kwan T, Martin K 1989 Adaptive detection and enhancement of multiple sinusoids using a cascade IIR filter.IEEE Trans. Circuits Syst. 36: 937–947
Mukund P, Martin K 1991 Resonator based filter-banks for frequency-domain applications.IEEE Trans. Circuits Syst. 38: 1145–1159
Mukund P, Martin K 1993 A second order hyperstable adaptive filter with no post-error filtering.Proc. IEEE Int. Symp. Circuits and Systems pp 447–450
Nehorai A 1985 A minimal parameter adaptive notch filter with constrained poles and zeros.IEEE Trans. Acoust. Speech Signal Process. 33: 983–996
Rao D V B, Kung S Y 1984 Adaptive notch filtering for the removal of sinusoids in noise.IEEE Trans. Acoust. Speech Signal Process. 32: 791–802
Regalia P A 1990 A novel lattice based adaptive IIR notch filter. InSignal Processing V: Theories and Applications (eds.) L Torres, E Masgrau, M A Lagunas (Amsterdam: Elsevier) pp 261–264
Regalia P A 1995Adaptive IIR filtering in signal processing and control (New York: Marcel Dekker)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Krishna, V.V., Hiremath, C.G. Asymptotic equivalence of some adaptive biquad notch filters. Sadhana 23, 73–82 (1998). https://doi.org/10.1007/BF02747624
Issue Date:
DOI: https://doi.org/10.1007/BF02747624