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本文研究了深埋在高斯噪声中的随机角调制信号的离散时间解调。首先借助于离散卡霍奈—罗也夫(Karhunnen—Loeve)展开式表示了,在适当的条件下,特殊的非均匀取样数字锁相环(DPLL)从最大后验意义上来说不过是一种近似最佳数字解调器。有意义的是这种数字环路的鉴相器只由取样器组成;在环路输出端不需要数字乘法器。其次是对上述一阶环路的输入出现随机相位调制的情况使用近似非线性分析。用模拟实验证实了这些结果。最后利用卡尔曼滤波法推导出相位和频率调制信号的最佳解调器,并介绍了它们的性能。
In this paper, the discrete-time demodulation of random angle modulated signals embedded in Gaussian noise is studied. First of all, with the help of the discrete Karhunnen-Loeve expansion, the special non-uniform sampled digital phase-locked loop (DPLL) is, under proper conditions, a maximum a posteriori sense Approximate best digital demodulator. It is significant that this digital loop phase detector consists of only the sampler; no digital multiplier is required at the loop output. Second is the use of an approximate nonlinear analysis of the random phase modulation of the inputs to the first order loop above. The simulation results confirm these results. Finally, the best demodulator of phase and frequency modulation signal is deduced by Kalman filter and their performance is introduced.