Parameter estimation of complex exponential signals corrupted by additive white
Gaussian noise (AWGN) is crucial in the study of distributed beamforming in a practical
scenario. Near zero (0) phase offset are expected at the receiver end which rely on the
smoothing and correction of the frequency and phase estimates. Neither
computational complexity nor the processing latency has an effect on the expected
zero phase offset but the estimation accuracy does. Thus, the maximum likelihood
estimator (MLE) using Fast Fourier Transform (FFT) approach is being considered for
cases with none and post processing in locating of the maximum peaks. Details on how
the phase estimates are arrived at is not always covered in literatures but explained in
the article. Numerical results obtained showed that global maximum peaks are arrived
at by employing a fine search with higher values of FFT.