Amplitude-coherent (AC) detection is an efficient technique that can simplify the receiver design while providing reliable symbol error rate (SER). Therefore, this work considers AC detector design and SER analysis using M-ary amplitude shift keying (MASK) modulation with receiver diversity over Rician fading channels. More specifically, we derive the optimum, near-optimum and a suboptimum AC detectors and compare their SER with the coherent, phase-coherent, noncoherent and the heuristic AC detectors. Moreover, the analytical and asymptotic SER at high signal-to-noise ratios (SNRs) are derived for the heuristic detector using single and multiple receiving antennas. The obtained analytical and simulation results show that the SER of the AC and coherent MASK detectors are comparable, particularly for high values of the Rician K-factor, and small number of receiving antennas. In most of the considered scenarios, the heuristic AC detector outperforms the optimum noncoherent detector significantly, except for the binary ASK case at low SNRs. Moreover, the obtained results show that the heuristic AC detector is immune to phase noise, and thus, it outperforms the coherent detector in scenarios where the system is subject to considerable phase noise.

中文翻译：

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具有接收机分集的 Rician 衰落信道幅度相干检测的误码率分析

幅度相干 (AC) 检测是一种有效的技术，可以简化接收器设计，同时提供可靠的符号错误率 (SER)。因此，这项工作考虑了使用 M 元幅移键控 (MASK) 调制和 Rician 衰落信道上的接收器分集进行 AC 检测器设计和 SER 分析。更具体地说，我们推导出最优、接近最优和次优 AC 检测器，并将它们的 SER 与相干、相位相干、非相干和启发式 AC 检测器进行比较。此外，对于使用单个和多个接收天线的启发式检测器，可以导出高信噪比 (SNR) 下的解析和渐近 SER。获得的分析和仿真结果表明 AC 和相干 MASK 检测器的 SER 具有可比性，特别是对于高值的 Rician K 因子，接收天线数量少。在大多数考虑的情况下，启发式 AC 检测器明显优于最佳非相干检测器，除了在低 SNR 下的二进制 ASK 情况。此外，获得的结果表明启发式交流检测器不受相位噪声的影响，因此，在系统受到相当大的相位噪声影响的情况下，它的性能优于相干检测器。