Consider a desired (pink) signal as well as its observation in heavy, non-stationary interference (green, this is the desired signal plus interference). As seen in the plot, the interference can also display quasi-periodic behavior. Initial filtering removed frequency bands where the interference dominated. The post-filtering desired and interfering signals share the same frequency band. Given the observations, I wish to track in real-time the period associated with the desired signal.
Given the frequency overlap, I don't see how additional linear filtering can help further mitigate interference. Also, most of the wavelet denoising approaches I have found in the literature don't have such poor signal-to-interference ratio. Other methods in the literature rely on Empirical Mode Decomposition for denoising, which seem computationally expensive and perhaps not ideally suited to real-time.
Was wondering if anyone here has some ideas for how to handle this admittedly difficult interference mitigation problem. Thanks!
