基于判决反馈的CPFSK信号非相干多符号检测算法

针对传统多符号检测算法存在的计算复杂度高、工程实现难度大等问题，提出了基于判决反馈思想的改进算法。该算法利用已判决的码元信息，对观测长度内所有可能发送波形进行筛选，从而减少码元判决时所需的相关器数量，降低算法的检测复杂性。在低信噪比和高信噪比2种情况下推导出改进算法误码性能的联合上边界，并基于网格最小欧氏距离求得其性能下边界，明确界定了改进算法的误码性能。理论分析和仿真结果都表明，与传统算法相比，在不损失检测性能的前提下，改进算法的复杂度随着反馈码元个数的增加呈负指数幂减少。

Noncoherent multiple symbol detection of CPFSK based on decision-feedback

There is a great deal of issues in the traditional symbol detection algorithm such as high computational complexity and large engineering implementation difficulty. Considering these problems, an improved algorithm based on decision feedback was proposed. To reduce complexity, the approach in which ruling element information was employed to filter waveforms during length of observing bits. Besides, the theoretical performance was approved by a composition of upper bound and lower bound. Specifically, the former is a union bound which consists of being tight at high SNR and being tight at low SNR, the latter can be obtained by the grid minimum Euclidean distance. Theoretical analysis and simulation results show that compared with the traditional algorithm, the improved algorithm could keep no loss of detection performance, but the complexity is reduced at negative exponent power way with the increase of number of feedback element.