衰落信道下M-PSK低分辨率SIMO系统的SEP分析
SEP Analysis of a Low-Resolution SIMO System with M-PSK over Fading Channels
AI总结：
针对相位量化SIMO系统，提出新方法推导M-PSK调制的精确SEP表达式，揭示SIMO-MRC与相位量化MISO系统的对偶性，并分析有限CSIR下的分集增益。
摘要：
本文分析了在瑞利衰落和加性高斯白噪声下，采用M进制相移键控（PSK）调制的相位量化单输入多输出（SIMO）系统的平均符号错误概率（SEP）。通过利用一种新方法，我们推导了采用最大比合并（SIMO-MRC）的正交PSK（QPSK）调制n比特相位量化SIMO系统的精确SEP表达式，以及相应的以分集增益和编码增益表示的高信噪比（SNR）特性。对于采用选择合并的QPSK调制2比特相位量化SIMO系统，进一步获得了任意数量接收天线下的分集增益和编码增益，补充了现有结果。有趣的是，当调制阶数、相位量化分辨率、天线配置和信道状态信息（CSI）条件互逆时，所提方法还揭示了SIMO-MRC系统与相位量化多输入单输出（MISO）系统之间的对偶性。该对偶性使得可以直接推断出一般M-PSK调制n比特相位量化SIMO-MRC系统的分集，并将其结果推广到其MISO对应系统。以上所有结果均假设接收端具有完美CSI（CSIR）。最后，将QPSK调制2比特相位量化SIMO系统的SEP分析扩展到有限CSIR情况，其中每个接收天线的CSI仅由2比特信道相位信息表示。在此场景下，分集增益通常进一步减半。
英文摘要：
In this paper, the average symbol error probability (SEP) of a phase-quantized single-input multiple-output (SIMO) system with M-ary phase-shift keying (PSK) modulation is analyzed under Rayleigh fading and additive white Gaussian noise. By leveraging a novel method, we derive exact SEP expressions for a quadrature PSK (QPSK)-modulated n-bit phase-quantized SIMO system with maximum ratio combining (SIMO-MRC), along with the corresponding high signal-to-noise ratio (SNR) characterizations in terms of diversity and coding gains. For a QPSK-modulated 2-bit phase-quantized SIMO system with selection combining, the diversity and coding gains are further obtained for an arbitrary number of receive antennas, complementing existing results. Interestingly, the proposed method also reveals a duality between a SIMO-MRC system and a phase-quantized multiple-input single-output (MISO) system with maximum ratio transmission, when the modulation order, phase-quantization resolution, antenna configuration, and the channel state information (CSI) conditions are reciprocal. This duality enables direct inference to obtain the diversity of a general M-PSK-modulated n-bit phase-quantized SIMO-MRC system, and extends the results to its MISO counterpart. All the above results have been obtained assuming perfect CSI at the receiver (CSIR). Finally, the SEP analysis of a QPSK-modulated 2-bit phase-quantized SIMO system is extended to the limited CSIR case, where the CSI at each receive antenna is represented by only 2 bits of channel phase information. In this scenario, the diversity gain is shown to be further halved in general.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
