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Statistical analysis of frequency modulated signals

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2 Author(s)
Rao, T.S. ; University of Manchester, Manchester, U.K. ; Yar, M.

In the transmission of signals, one of the common models used for transmission is the frequency modulated model. Suppose the original signal is of the form f_{t} = \beta \sin (\theta t+\psi ) , then the contaminated frequency Modulated signal is given by y_{t} = A \cos(\theta_{c}t + \phi + \beta \sin(\theta t + \psi)) + z_{t} (t = 1,2 ....) , where θcis the carrier frequency, θ is the frequency of the original signal, φ and ψ are random phases, each having a uniform distribution over the interval [-π,π], β is a modulation index. Assuming ztis a second order stationary process, we consider the spectral analysis of the process yt. Suppose we have a sample y1,y2.....yn, we consider the (maximum likelihood) estimation of the frequencies θc, θ, β and A on the basis of the sample, under the assumptions (i) {zt} is a Gaussian white noise; (ii) {zt} is a second order stationary Gaussian process.

Published in:

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '82.  (Volume:7 )

Date of Conference:

May 1982