Abstract
The concept of time-varying filters as applied to the problem of rejection of a sine signal with fast variations of frequency is explored. Using such filters, a method for synchronous (i.e., when frequency is known) estimation of phase and amplitude of a sine wave corrupted by closely spaced sinusoidal interference with fast frequency variations is proposed. It is shown that the coefficients of the time-varying filter can be effectively determined using a Phase Locked Loop. It is proved that the performance of the proposed estimator depends neither on the interference level nor on the speed of frequency variations. Comparison with an adaptive estimator based on a linear time invariant filter shows the superiority of the proposed one where the interference frequency changes rapidly over time.
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