A multi-piloted notch filter for frequency estimation and tracking

In this paper, we have presented a multi-piloted notch filter structure with the generalized formulation for introduction of more number of pilots to the original piloted notch filter having an option for a range of step-size values. The structure of multi-piloted notch filter has been studied through simulations to make it more adaptive by using multiple step-size values. Thus, the transition from a very large step-size value to a very small step-size value has been smoothed using intermediate values of step-size such that the main notch does not cross-over the frequency of input sinusoid with larger error when it is very close to it. Moreover, this has been useful in selecting a larger step-size value when the notch is away from the input frequency to increase the rate of convergence. The simulation results verify the excellent performance exhibited by multi-piloted notch filter over the original piloted notch filter with respect to the speed of convergence and mean square error (MSE).