Extraction of higher-order coupling feature using three and one half dimension spectrum

摘要

In this paper, three and a half dimension spectrum is defined. Also, the frequency coupling properties of the spectrum are investigated by using different definitions of fifth-order cumulants of real or complex sinusoidal signals. It is shown that the three and a half dimension spectrum has ability to entirely suppress symmetrical distributed noise and no frequency coupling components, that employing three and a half dimension spectrum of complex signals can extract the attended quartic or quadratic-to-cubic frequency coupling components or procreant frequency components for coupling, and that the original frequency components and the procreant frequency components for coupling can be synchronously extracted using the three and a half dimension spectrum of real signals. Computer simulations with the underwater moving target-radiated data are used to demonstrate the performance of three and a half dimension spectrum of real or complex signals under a wide range of conditions.