First order complex adaptive FIR notch filter

This paper presents a first order complex adaptive finite impulse response (FIR) notch filter (FIR-ANF) to track and estimate the frequency of complex sinusoidal signal corrupted by Gaussian noise. This research also presents gradient based adaptive algorithm for adjusting the filter coefficient. Computer simulation results have shown that, as compared with the conventional first-order complex adaptive infinite impulse response (IIR) notch filter (IIR-ANF), the proposed technique has faster convergence time, especially, when the initial value of algorithm is far from the true solution.