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本文在检验Capon正则条件后推导了秩二进积累检测器的渐近相对效率和渐近损失公式。计算结果表明,存在一个使渐近损失最小的最佳秩量化门限,该最佳门限约等于0.8(N+1)。最小渐近损失随N的增加而减小,并趋于0.94dB。虽然秩二进积累检测器的渐近损失比秩和检测器稍高,但比较经济。
In this paper, we deduce the asymptotic relative efficiency and the asymptotic loss formula of the rank binary cumulants detector after testing the Capon regular conditions. The calculation results show that there exists an optimal rank quantization threshold that minimizes the asymptotic loss, which is approximately equal to 0.8 (N + 1). The minimum asymptotic loss decreases with increasing N, and tends to 0.94dB. Although the asymptotic loss of rank binary detectors is slightly higher than that of rank sum detectors, it is more economical.