Robust FSK sinusoidal frequency estimation

It a relatively short frequency shift keyed (FSK) sinusoidal burst signal is available for analysis, transient effects within the analysis window may be detrimental to linear predictive model based frequency estimation methods such as the forward-backward linear predictive technique. Signal transients are manifested as spikes within the residual vector produced from a linear predictive based approach to frequency estimation. For such cases, it is demonstrated that a robust estimator, such as an estimator generated via an L₁ normed error criterion, can produce less biased frequency estimates. Additionally, it is shown that sinusoidal frequency estimates generated via an L₁ normed solution are insensitive to initial signal phase in contrast to least squares based estimates. It is demonstrated that a robust Wigner distribution can be estimated based upon the ideas presented in this paper