CML based parameter estimation of FH signals in alpha stable noise environment

A Cauchy distribution-based Maximum Likelihood approach is introduced for estimating parameters of Frequency Hopping (FH) signals in alpha stable noise environment. Initially, the FH signal is redefined using a model based on envelope and frequency parameters. Subsequently, a maximum-likelihood function is formulated utilizing the Cauchy distribution. The hopping frequencies are then derived using a windowed version of this maximum-likelihood function. Estimation of the hopping time is accomplished by minimizing the combined objective functions constructed from consecutive hops. Furthermore, the estimate of the hopping period is obtained as the average time interval between successive hop transition times. Simulation results validate the efficacy of the proposed method in enhancing the accuracy of FH signal parameter estimation.