Abstract
Recently, a new class of constrained adaptive filters namely the recursive center-frequency adaptive filters have been developed for the tracking and enhancement of bandpass signals. In this paper, the convergence behaviour of these filters is studied with the help of the ordinary differential equation (ODE) representation of the algorithms and the convergence conditions are established. Using this ODE approach, general and accurate procedures of determining the mean-parameter trajectories and pull-in performance are developed. These procedures are applied to an example of a fourth-order adaptive filter and the convergence and pull-in performances are studied. The effect of additive noise on the performance is also studied. Finally, simulation studies are carried out to find the behaviour of the parameter noise on the algorithm design parameters and input signal-to-noise ratio (SNR).
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