Error exponents for multi-keyhole MIMO channels
Error exponents for multi-keyhole MIMO channels
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DOI：
10.1134/s0032946015010019
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发表时间：
2015-01-01
影响因子：
1.2
通讯作者：
Zhong, C.
中科院分区：
文献类型：
--
作者：
Xue, J.;Ratnarajah, T.;Zhong, C.
与信道容量一样，误码指数也是衡量可靠性的最重要的信息论指标之一，因为它为使用有限复杂度的码的通信系统的性能设定了终极界限。本文推导了多锁孔多输入多输出(MIMO)信道的Galager随机编码和剔除差错指数的闭合表达式，为通信可靠性和信息率之间的基本权衡提供了深入的见解。我们研究了小孔对误差指数和截止率的影响。此外，在没有广泛的蒙特卡罗模拟的情况下，我们可以很容易地计算在给定速率下达到预定差错概率所需的码字长度，这量化了天线数量、信道相干时间和锁孔数量的影响。此外，基于易于计算的Meijer G-函数，我们得到了遍历容量和截止率的精确闭合表达式。最后，我们将研究扩展到瑞利乘积MIMO信道和锁孔MIMO信道。
Along with the channel capacity, the error exponent is one of the most important information-theoretic measures of reliability, because it sets ultimate bounds on the performance of communication systems employing codes of finite complexity. In this paper, we derive closed-form expressions for the Gallager random coding and expurgated error exponents for multi-keyhole multiple-input multiple-output (MIMO) channels, which provide insights into a fundamental tradeoff between the communication reliability and information rate. We investigate the effect of keyholes on the error exponents and cutoff rate. Moreover, without an extensive Monte-Carlo simulation we can easily compute the codeword length necessary to achieve a predefined error probability at a given rate, which quantifies the effects of the number of antennas, channel coherence time, and the number of keyholes. In addition, we derive exact closed-form expressions for the ergodic capacity and cutoff rate based on the easily computable Meijer G-function. Finally, we extend our study to Rayleigh-product MIMO channels and keyhole MIMO channels.