The work in this paper produces mathematically derivation for Probability density function (PDF) of proposed noisy signal model. Two types of noise are considered: zero mean Gaussian multiplicative noise and phase noise. Cramer-Rao bound (CRB) expression of frequency estimator for single tone sinusoidal signal under zero mean Gaussian multiplicative noise and additive Gaussian noise (AWGN) are derived. The obtained simulation results support investigating mathematical and comparative study.

Modern telecommunication technologies play a decisive role in the methods of organization and structure of the construction of existing and projected mobile IAUs or specialized control systems designed to collect a given set of information about managed objects and, in accordance with the objective function, to manage these objects.