Structured autoregressive instantaneous phase and frequency estimation

A new approach to estimate the phase and amplitude signal parameters of a quite general class of complex valued signals is presented. The proposed algorithm can estimate the signal parameters of a sum of complex signals, the amplitudes may be time varying and the phase functions are modelled by some continuous functions a_l(t). The data can be evenly or unevenly sampled in time. The signal parameter estimates minimizes a loss function based on the prediction errors of a new, time dependent, structured autoregressive filter. The instantaneous phase and frequency is easily obtained from the estimated signal parameters. The structured AR filter is a model based time-frequency representation