Tracking complex-valued multicomponent chirp signals using a complex notch filter with adaptive bandwidth and frequency parameters

This paper first demonstrates the ability of a recently developed complex adaptive notch filter (CANF) to track a complex-valued multicomponent chirp signal (CMCS), and provides an analysis of the convergence of the frequency parameter. Next the design is extended, to enable the adaptation of both the frequency and bandwidth parameters; highlighting the need for a steepest ascent approach to adapt the bandwidth parameter. Adapting the notch bandwidth parameter(s) to track a complex sinusoid signal (CSS), or when filters are cascaded for multiple CSSs; allows the design to reduce the noise output from the CANF structure; and this performance advantage is shown in simulations.