差分调制信号亚奈奎斯特率检测方法

压缩感知是一种基于亚奈奎斯特率的信息采样方法。基于压缩感知的符号检测方法通常先将亚奈奎斯特率样本重构为奈奎斯特率信号，然后再依据传统符号检测的原理检测接收符号。本文针对基于重构的压缩感知符号检测方法采样率过高的问题，研究广义似然比检测和信息采样样本之间的关系，提出了一种不需要重构奈奎斯特率信号的压缩检测方法。该方法首先通过双通道时延结构分离接收信号的参考部分和信息符号部分，然后依据两部分信号的稀疏相关特性，对亚奈奎斯特率接收符号进行检测。实验结果说明本文提出的方法能够有效地抵抗多径衰弱和符号间干扰（Inter Symbol Interference，ISI）。 

Sub-Nyquist Detection Method for Differential Modulation Signals

Compressed sensing is a kind of information sampling method on Sub-Nyuqist rate. The symbol detection methods on CS are usually reconstructing Nyquist signal from Sub-Nyquist samples, and then detect receiver symbol according to the traditional symbol detection theory. As to the high sample rates problem of reconstruction based compressed sensing detection methods, this paper studies the relationship between information sampling and generalized likelihood ratio detection, and proposes a compressed detection method without reconstruction signals at Nyquist rate. This method separates the reference part and information symbol part by dual channel delay structure, and detects the sub-Nyquist symbol on the sparse correlation characteristic between the two parts. The experiment results show the method is more stable to multipath and ISI.