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The received signals in Sonar, Radar, and many other surveillance systems are generally expressed in non-stationary non-Gaussian stochastic processes, and they must be processed by appropriate time-frequency analysis methods in order to obtain correct information, especailly for the weak (low or negative SNR) non-stationary transient signals. The objective of this thesis is to search for pertinent processing algorithms for detection and identification of transient signals using higher-order spectra (HOS), and to develop technique which can be applied to underwater acoustic signal processing or the Sonar system. There are three motivations behind the use of HOS in signal processing, namely, to extract information due to deviations from Gaussianity, to identify non-minimum phase signals and to detect and characterize nonlinear mechanism. Thus HOS play a key role in growing applications of engineering and science. Higher-order spectra are investigated in this thesis, including the conventional indirect and direct methods of HOS estimation via moment and cumulant, and Wigner higher- order spectra (WHOS). Different transient signals contaminated by various noises are detected with simulation and analysis using MATLAB. In order that the proposed algorithms are feasible for digital hardware implementation in the near future, so LabVIEW is used to built up the algorithms.
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