A method for evaluating the fluctuation of the reverberation envelope is proposed and examined through simulation and real data in this paper. This method is different from the coefficient of variation which is only a function of the first and second order moment of the reverberation statistical model. By using the standard variance of the mean square derivate (MSD) of the reverberation envelope, the paper shows that the reverberation fluctuation is a function of the bandwidth of the emitted signal, and that a large value of the square variance means little fluctuation of the reverberation envelope. Theoretical studies show that the standard variance is proportional to the bandwidth of the emitted signal, so we conclude that less time width or larger bandwidth of the transmitted signal produces less fluctuation. Simulation and real active sonar data processing are used to verify this conclusion.
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