Related Experiment Video
Updated: Feb 26, 2026

Quasi-light Storage for Optical Data Packets
Published on: February 6, 2014
Performance analysis over q-Weibull fading channels for symbol error probability evaluation using a tighter Gaussian
Sarbeswar Samal1, Sujata Chakravarty1, Tanmay Mukherjee2
1Department of Computer Science and Engineering, Centurion University of Technology and Management, Jatni, Bhubaneswar, Odisha, 752050, India.
Abstract:
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 λ. Further, performance measures viz., Level Crossing Rate (LCR) and Average Fade Duration (AFD) are also obtained over the q-Weibull fading model.
Related Concept Videos
Detection of Gross Error: The Q Test
Propagation of Uncertainty from Systematic Error
Propagation of Uncertainty from Random Error
Parametric Survival Analysis: Weibull and Exponential Methods
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Expected Frequencies in Goodness-of-Fit Tests
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....