New results on maximal ratio combining in Nakagami-m fading channels
New results on maximal ratio combining in Nakagami-m fading channels
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DOI：
10.1109/icc.2012.6363647
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发表时间：
2012-06
期刊：
影响因子：
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通讯作者：
Young Gil Kim;N. Beaulieu
中科院分区：
文献类型：
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作者：
Young Gil Kim;N. Beaulieu
推导了最大比值组合（MRC）分集检测中符号误差概率（SEP）的新表达式。考虑了独立同分布Nakagami-m衰落信道的情况。结果表明，在Rayleigh衰落信道中，MRC分集的sepp表达式可以用mL代替分集阶数L，用γ′s /m代替平均信噪比γ′s /m，从而得到在Nakagami-m衰落信道中MRC分集的sepp表达式。回顾了在独立瑞利衰落信道和相同分支信噪比条件下，l支路软判决MRC检测的误码概率（BEP）等于多数逻辑组合的（2L - 1）支路硬判决检测的误码概率（BEP）的恒等性。利用该恒等式导出了Nakagami-m衰落信道中MRC分集的SEP的新表达式。从Rayleigh衰落信道中MRC接收的中断概率和平均平交率可以得到Nakagami-m衰落信道中MRC接收的中断概率和平均平交率。所建立的关系既可以应用于为未解决的问题找到解决办法，也可以应用于在已有解决办法的地方找到更简单的解决办法。
Novel expressions for the symbol error probability (SEP) of maximal ratio combining (MRC) diversity detection are derived. The case of independent and identically distributed Nakagami-m fading channels is considered. It is shown that expressions for the SEPs of MRC diversity operating in Nakagami-m fading channels can be obtained by both replacing the diversity order, L, with mL and replacing the average signal-to-noise ratio (SNR) per bit, γ̅ with γ̅/m in expressions for the SEPs of MRC diversity in Rayleigh fading channels. An identity which states that the bit error probability (BEP) of L-branch soft-decision MRC detection equals that of (2L - 1)-branch hard-decision detection with majority logic combining, both in independent Rayleigh fading channels and with equal branch SNRs, is recalled. The identity is used to derive new expressions for the SEP of MRC diversity in Nakagami-m fading channels. It is also shown that outage probability and average level-crossing rate for MRC reception in Nakagami-m fading channels can be obtained from corresponding outage probability and average level-crossing rate for MRC reception in Rayleigh fading channels. The relationships established will find application both in deriving solutions to unsolved problems and, where past solutions exist, in finding simpler solutions.