Frequency and amplitude estimation of noncircular sinusoid using complex adaptive notch filters

In this paper, a technique for estimating frequency and amplitude of noncircular complex sinusoid has been presented. A cascade scheme of first-order complex notch filters has been introduced where complex sequence with negative frequency is rejected in the first section and sequence with positive frequency is removed in the second section. Closed-form expressions for bias and mean square error (MSE) for frequency estimation have been presented. By using band-pass outputs of first-order notch filters, amplitudes of sinusoidal sequences with positive and negative frequencies have been also estimated. Computer simulations show the effectiveness of the proposed analyses.