Frequency estimation of signals with lowpass envelope based on jump estimator

In this paper, we present a new frequency estimation of multi-component sinusoidal signals with arbitrary lowpass envelope. Conventional methods fail to produce reasonable results. The proposed method is based on estimation of the jump points in the frequency domain. No assumptions on the shape or properties of envelope is required, except being a narrowband. Unlike previous algorithms, this algorithm works properly even in presence of non-Gaussian observation noise. Performance analysis and simulation results demonstrate improved precision and resolution with respect to existing methods.