Steady state analysis of the p-power algorithm for constrained adaptive IIR notch filter

In this paper, we present the steady state analysis of the p-power algorithm for an adaptive IIR notch filter with constrained poles and zeros for the case when p=3 and the sinusoidal signal is contaminated with additive Gaussian noise. We first derive two difference equations for the convergence of the mean and the Mean Square Error (MSE), and then give the steady state estimation bias and MSE. Stability conditions based on the step size value are also discussed.