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Asymptotic equivalence of some adaptive biquad notch filters

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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.

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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

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