The higher-order statistics method can process non-Gaussian (that needs to consider non-Gaussian, colour noise, non-liner, non-minimum phase or cycling stability message) effectively. Furthermore these methods can provide more useful message than second-order statistics based methods. In this paper, the properties of higher-order statistics are analyzed which have been widely used in communications. And the estimation of higher-order statistics of communications (amplitude modulation, frequency modulation signal, signal phase modulation signals, pulse modulation) is studied. Simulation results indicate that the methods summarized in this paper are effective.
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