Testing hypothesis for signal detection

K. Lou, T.-H. Fan
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Abstract

A root test for signal detection based on a family of autoregressive (AR) spectral estimates is evaluated. It is observed that the root test fails for the strong narrowband noise case and is asymptotically inconclusive. A ratio test is also studied. The two AR spectra with order n and 2n are dependent. since they use the same first n correlation information. It will be difficult to find the joint density function of the ratio of the two AR spectra above. An example is included.<>
信号检测的假设检验
评估了一种基于自回归(AR)谱估计的信号检测根检验。在强窄带噪声情况下,根检验不成立,渐近不确定。还研究了比值检验。两个n阶和2n阶的AR谱是相关的。因为它们使用相同的前n个相关信息。很难找到上述两种AR光谱之比的联合密度函数。包括一个示例。
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