LARGE ERROR RECOVERY FOR A CLASS OF FREQUENCY TRACKING ALGORITHMS

The performance of a recently proposed high-order adaptive notch filte r (HANF) for frequency estimation and tracking is studied. An analysis technique utilizing approximations with linear filters is employed to derive closed-form performance expressions for a noisy sinusoidal inp ut signal. Important performance measures, such as stability, noise re jection, statistical efficiency, and tracking ability, are studied in detail, and rules for the design variables are given. A study is prese nted where the performance of HANF is compared with the performance of a minimal order adaptive notch filter (ANF), as well as with a freque ncy tracker based on least squares-modelling-the multiple frequency tr acker (MFT). The study reveals that HANF is a competitive alternative to ANF, but also that, in general, the MFT is the method of choice. (C ) 1998 John Wiley & Sons, Ltd.