Separation model for multipath FM signals transmission

In this paper, it is assumed that the channel without noise and the proposed algorithm based on phase-locked-loop (PLL) and amplitude-locked-loop (ALL) systems, which separated the FM multipath cosine signals. It can be represented as an autoregressive (AR) process under channel without noise. We adopted the discrete state-space procedure for searching the optimal weight coefficients value by updating Kalman gain for finding the minimization value of mean square error (MSE) method. This paper simulated two output of cosine signals for different interference to carrier ratio (ICR) and compared the values of mean square error (MSE) under the two-path channel. We can write mathematical equation to expressed output signals of frequency modulation, PLL and ALL system of multipath channel. It is helpful to create separation model of the multipath channel.