Performance analysis of a detector for nonstationary random signals

W. Padgett
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Abstract

The detection of nonstationary random signals is an important sonar problem which also has potential applications in diverse areas such as biomedical signal processing and spread spectrum communications. The primary problem with applying a powerful test like the generalized likelihood ratio test (GLRT) is the computational effort required to search for the maximum likelihood model parameters for the observed signal. The computation required is multiplied many times over when a signal parameter is nonstationary. A computationally efficient detector of nonstationary Gaussian random signals based on the GLRT was presented at ICASSP94 [1]. A slightly enhanced version of the detector is described below, along with new simulation results demonstrating that the detector performs nearly optimally and is quite robust to signal model inaccuracy.
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非平稳随机信号检测器的性能分析
非平稳随机信号的检测是一个重要的声纳问题,在生物医学信号处理和扩频通信等领域都有潜在的应用前景。应用像广义似然比检验(GLRT)这样的强大检验的主要问题是,为观测信号寻找最大似然模型参数所需的计算量。当信号参数是非平稳时,所需的计算要乘以许多倍。在ICASSP94上提出了一种基于GLRT的计算效率高的非平稳高斯随机信号检测器[1]。下面描述了检测器的一个稍微增强的版本,以及新的仿真结果,表明检测器的性能几乎是最佳的,并且对信号模型不准确具有相当的鲁棒性。
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