Scholarlink

<p>This research presents a tight and closed technique towards approximating the Gaussian <i>Q</i>-function for evaluating a critical performance metric, the symbol error probability (SEP), across wireless fading environments. The Gauss-Legendre four-point rule is employed to derive the exponential-type approximation, exhibiting a higher degree of agreement compared to other approximation techniques currently used in SEP computation. Considering the entire low-to-high range of input signal-to-noise ratio (SNR), this approximation provides a tighter fit throughout the range. In addition, this approximation technique is employed to achieve an analytical solution for SEP integrals over the <i>q</i>-Weibull fading channel, which introduces the entropic index <i>q</i> originating from Tsallis’ entropy. By adjusting the range of the entropic index <i>q</i>, this single-statistic fading distribution exhibits adaptive behavior and provides a tighter fit over the synthetic signal than the commonly used composite Weibull-Lognormal distribution. In this context, it is valuable to obtain the analytical solution of the SEP over this fading model for different values of the parameter <i>q</i> and the shape parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\lambda\)</EquationSource> </InlineEquation>. Further, performance measures viz., Level Crossing Rate (LCR) and Average Fade Duration (AFD) are also obtained over the <i>q</i>-Weibull fading model.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Performance analysis over q-Weibull fading channels for symbol error probability evaluation using a tighter Gaussian Q approximation

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年2月24日

查看全文
  • Sarbeswar Samal,
  • Sujata Chakravarty,
  • Tanmay Mukherjee,
  • Amrutanshu Panigrahi,
  • Abhilash Pati,
  • Bibhuprasad Sahu

摘要

This research presents a tight and closed technique towards approximating the Gaussian Q-function for evaluating a critical performance metric, the symbol error probability (SEP), across wireless fading environments. The Gauss-Legendre four-point rule is employed to derive the exponential-type approximation, exhibiting a higher degree of agreement compared to other approximation techniques currently used in SEP computation. Considering the entire low-to-high range of input signal-to-noise ratio (SNR), this approximation provides a tighter fit throughout the range. In addition, this approximation technique is employed to achieve an analytical solution for SEP integrals over the q-Weibull fading channel, which introduces the entropic index q originating from Tsallis’ entropy. By adjusting the range of the entropic index q, this single-statistic fading distribution exhibits adaptive behavior and provides a tighter fit over the synthetic signal than the commonly used composite Weibull-Lognormal distribution. In this context, it is valuable to obtain the analytical solution of the SEP over this fading model for different values of the parameter q and the shape parameter \(\lambda\) . Further, performance measures viz., Level Crossing Rate (LCR) and Average Fade Duration (AFD) are also obtained over the q-Weibull fading model.