论文标题
关于双变量FOX H功能的积分和衍生身份:无线系统性能分析应用
On the Integral and Derivative Identities of Bivariate Fox H-Function: Application in Wireless System Performance Analysis
论文作者
论文摘要
目前的工作提出了分析解决方案,以结合代数,指数和互补误差函数结合双变量FOX H功能的积分。此外,这项工作还提出了有关函数参数的衍生身份。此外,提到的数学解决方案的适用性通过无线通信环境进行了验证,在该环境中,该通道的褪色行为获得了双变量FOX H功能结构。此外,使用基于原始概率密度函数的方法,提出了停电概率和平均符号误差概率的渐近结果。获得的结果没有复杂的分析功能。最后,将本文的分析结果与数值结果以及蒙特卡洛模拟结果进行比较,以确认其准确性。
The present work proposes analytical solutions for the integral of bivariate Fox H-function in combination with algebraic, exponential, and complementary error functions. In addition, the work also presents the derivative identities with respect to function arguments. Further, the suitability of the proposed mathematical solutions is verified with reference to wireless communication environment, where a fading behaviour of the channel acquired the bivariate Fox H-function structure. Further more, asymptotic results for the outage probability and average symbol error probability are presented utilizing the origin probability density function based approach. The obtained results are free from complex analytical functions. At last, the analytical findings of the paper are compared with the numerical results and also with the Monte-Carlo simulation results to confirm their accuracy.