Estimating Jakes' Doppler power spectrum parameters using the whittle approximation

We derive methods for asymptotic maximum likelihood (ML) estimation of Jakes' Doppler power spectrum parameters from complex noisy estimates of the fading channel. We consider both single-input single-output (SISO) and smart-antenna scenarios and utilize the Whittle approximation to the likelihood to estimate the Doppler spread, noise variance, and channel covariance parameters. Asymptotic Crame/spl acute/r-Rao bounds (CRBs) for the unknown parameters are derived. We also discuss the initialization of the proposed methods and their generalization to the Ricean-fading scenario. Numerical simulations demonstrate the performance of the proposed methods.