TWDP衰落模型的另一种统计特性
An Alternative Statistical Characterization of TWDP Fading Model
摘要:
具有扩散功率的双波模型(TWDP)是描述新兴无线网络中小尺度衰落效应的最有前途的模型之一。然而,其目前的统计特征有几个基本问题。首先,常规的TWDP参数化不符合模式的基本物理机制。此外,PDF,CDF和MGF的可用TWDP表达式以积分或近似形式给出,或者作为数学上难以处理的封闭形式表达式。因此,现有的TWDP的统计特性不允许在所有的衰落条件下的系统性能(如错误和中断概率)的准确评估大多数调制和分集技术。在本文中,现有的统计特性的TWDP衰落模型进行了改进,克服了一些值得注意的问题。在这方面,物理上合理的TWDP参数化建议,并用于进一步的计算。此外,还介绍了精确无穷级数PDF和CDF。基于这些表达式,SNR的精确MGF以适合于数学操作的形式导出。以M进制PSK调制为例,证明了所提出的MGF用于推导精确平均误符号概率(ASEP)的适用性。因此,在本文中,M进制PSK ASEP推导出作为一个显式表达式在文献中的第一次。推导出的表达式进一步简化为大的SNR值,以获得一个封闭形式的渐近ASEP,这是适用于SNR > 20 dB。所有建议的表达式进行了验证,在各种TWDP衰落条件下的Monte Carlo模拟。
英文摘要:
Two-wave with diffuse power (TWDP) is one of the most promising models for description of small-scale fading effects in emerging wireless networks. However, its current statistical characterization has several fundamental issues. Primarily, conventional TWDP parameterization is not in accordance with the model's underlying physical mechanisms. In addition, available TWDP expressions for PDF, CDF, and MGF are given either in integral or approximate forms, or as mathematically untractable closed-form expressions. Consequently, the existing TWDP statistical characterization does not allow accurate evaluation of system performance (such as error and outage probability) in all fading conditions for most modulation and diversity techniques. In this paper, the existing statistical characterization of the TWDP fading model is improved by overcoming some of the noticed issues. In this regard, physically justified TWDP parameterization is proposed and used for further calculations. Additionally, exact infinite-series PDF and CDF are introduced. Based on these expressions, the exact MGF of the SNR is derived in form suitable for mathematical manipulations. The applicability of the proposed MGF for derivation of the exact average symbol error probability (ASEP) is demonstrated with the example of M-ary PSK modulation. Therefore, in this paper, M-ary PSK ASEP is derived as an explicit expression for the first time in the literature. The derived expression is further simplified for large SNR values in order to obtain a closed-form asymptotic ASEP, which is shown to be applicable for SNR > 20 dB. All proposed expressions are verified by Monte Carlo simulation in a variety of TWDP fading conditions.
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