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Detection probabilities for correlated Rayleigh fading signals

机译:相关瑞利衰落信号的检测概率

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摘要

Both the method of saddlepoint integration and its associated saddlepoint approximation are applied to calculating the probability of detecting correlated Rayleigh-fading signals in Gaussian noise by means of a detector that integrates M samples of the output of a quadratic rectifier. The quadrature components of the signal samples are modeled as an autoregressive moving-average process, and specific results are exhibited for a first-order Markov process. By these methods the fluctuation loss can be computed for much larger values of M and for larger values of the detection probability than previously. Values calculated by the saddlepoint approximation prove to be close enough to the exact values to be useful over a broad range of signal parameters.
机译:鞍点积分方法及其相关联的鞍点逼近两者均用于通过集成了二次整流器输出的M个样本的检测器来计算在高斯噪声中检测相关瑞利衰落信号的概率。将信号样本的正交分量建模为自回归移动平均过程,并针对一阶马尔可夫过程展示特定结果。通过这些方法,可以计算出比以前更大的M值和更大的检测概率值的波动损失。鞍点近似计算得出的值证明足够接近精确值,可以在广泛的信号参数范围内使用。

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