Article
Engineering, Electrical & Electronic
Aditya Powari, Dharmendra Sadhwani, Lalita Gupta, Ram Narayan Yadav
Summary: This paper proposes extremely accurate and generic exponential-based approximations for the Gaussian Q function. The Romberg numerical integration technique and Richardson extrapolation method are utilized to achieve accurate yet simple approximations. The significance of the proposed work is extensively illustrated by comparing it with other existing approximations, and its application in communication theory is demonstrated using the versatile Kappa-mu shadowed fading channel, which facilitates error performance metrics for wireless communication systems. Computer simulations are also used to solidify the analysis.
DIGITAL SIGNAL PROCESSING
(2022)
Article
Engineering, Electrical & Electronic
Aleksey S. Gvozdarev
Summary: The research presents a closed-form evaluation procedure for the average bit error rate in wireless communication systems with multipath fading. It applies a generalized version of the classical moment generating function and establishes a connection between the Hankel-type contour-integral representation of the Marcum Q-function and Gauss Q-function. This connection is used to analytically calculate the average bit error rate of quadrature amplitude modulated signals in Nakagami-m fading. The obtained solution is verified and shown to be computationally efficient compared to existing approximations. The proposed methodology has potential applications in various composite channels.
DIGITAL SIGNAL PROCESSING
(2022)
Article
Mathematics
Zoran Peric, Aleksandar Markovic, Natasa Kontrec, Jelena Nikolic, Marko D. Petkovic, Aleksandra Jovanovic
Summary: The paper presents two new interval upper bound Q-function approximations that can efficiently estimate symbol error probability and outperform other approximations in terms of accuracy. This approach has wide applications in communication problems.
Article
Multidisciplinary Sciences
Tanmay Mukherjee, Dilip Senapati
Summary: This paper focuses on the computation of the Gaussian Q-function in emerging wireless communication environments. It proposes composite and tighter exponential bounds for more accurate evaluation of the average symbol error probability (SEP) over fading channels, which is simpler than existing approximations. Additionally, it provides analytical solutions for the SEP integrals over Nakagami-m fading channels for both general non-rectangular quadrature amplitude modulation (QAM) and rectangular QAM (R-QAM).
NATIONAL ACADEMY SCIENCE LETTERS-INDIA
(2022)
Article
Telecommunications
Dharmendra Sadhwani, Aditya Powari, Naman Mehta
Summary: We propose a novel and accurate approximation method for the Gaussian Q function, which expresses it as a sum of simple exponentials. By using the composite Gauss quadrature numerical integration method incorporating a special midpoint rule, we exhaustively analyze the accuracy and tractability of this approximation. We demonstrate the application of this approximation in the symbol error probability of square quadrature amplitude modulation technique, considering the versatile Fluctuating Beckmann fading model and practical Fisher-Snedecor F distribution. Our analysis is supported by Monte-Carlo simulations.
IEEE COMMUNICATIONS LETTERS
(2022)
Article
Telecommunications
Islam M. Tanash, Taneli Riihonen
Summary: The article presents extremely tight novel approximations, lower bounds and upper bounds for the Gaussian Q-function by optimizing coefficient sets in terms of minimax absolute/relative error and total absolute/relative error. The significant advance in accuracy is demonstrated through numerical comparisons with key reference cases.
IEEE COMMUNICATIONS LETTERS
(2022)
Article
Telecommunications
Supriya Aggarwal
Summary: Numerical integration techniques are used in this paper to derive an approximation for Q(a root gamma)Q(b root gamma) and solve symbol error probability (SEP) integrals over various fading distributions. The accuracy of the proposed approximation and solution to SEP integrals are verified through computer simulations and built-in functions in MATLAB.
WIRELESS PERSONAL COMMUNICATIONS
(2021)
Article
Engineering, Electrical & Electronic
Supriya Aggarwal
Summary: This paper presents a generalized solution to calculate the symbol error probability integral containing the product of two Gaussian Q-functions, first using numerical integration technique to approximate the product and derive a closed-form solution, where the complexity of the solution is proportional to the complexity of the fading distribution's moment generating function.
INTERNATIONAL JOURNAL OF COMMUNICATION SYSTEMS
(2021)
Article
Computer Science, Information Systems
Chaoran Yin, Gaetano Giunta, Danilo Orlando, Chengpeng Hao, Chaohuan Hou
Summary: This study addresses the problem of channel classification and proposes a heuristic decision logic based on multiple hypothesis testing, with performance analysis conducted on simulated data to demonstrate the effectiveness of the strategy in channel classification.
IEEE WIRELESS COMMUNICATIONS LETTERS
(2021)
Article
Mathematics, Applied
Omar M. Eidous
Summary: This paper proposes new simple lower and upper bounds for the cumulative standard normal distribution FoxTHORN. The proposed bounds have smaller maximum absolute differences with FoxTHORN compared to existing bounds, making them more compact.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Engineering, Electrical & Electronic
Yazid M. Khattabi
Summary: This paper proposes a CSIN-assisted amplify-and-forward (AF) relaying scheme for dual-hop relaying systems and derives an exact symbol error rate (SER) performance expression under the effect of imperfect channel estimation. The derived expression includes quickly truncatable infinite series, requires short computational time, shows perfect matching with simulation results, and offers insights into the system's realistic error performance under different system and fading severity conditions.
PHYSICAL COMMUNICATION
(2022)
Article
Computer Science, Artificial Intelligence
Jian Chen, Tao Wang, Jie Jia, Liang Guo, Xingwei Wang
Summary: This article investigates the reliable analysis and joint optimization over Nakagami-m fading for coordinated multi-point (CoMP) assisted multi-cell systems. By proposing the ABC algorithm framework, the joint sub-carrier assignment and power allocation problem for reliability optimization are successfully solved. Simulation results show that the proposed frameworks can significantly enhance the reliability of user equipment.
APPLIED SOFT COMPUTING
(2022)
Article
Engineering, Electrical & Electronic
Shubham Kumar, Kanksha Anjaria, Dharmendra Sadhwani
Summary: This paper simplifies the intractable integrals used in symbol error probability expressions of digital modulation schemes over various fading statistics by using a two-term exponential based approximation of the Gaussian Q function. The integrals are expressed in terms of simple moment generating function (MGF) for easy solution in literature regarding fading channels, making the SEP expressions tractable. The analytical work is validated through Monte-Carlo simulations.
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
(2021)
Article
Telecommunications
Xiao-Diao Chen, Junle Yu, Junyi Ma, Nichang Jiang
Summary: The paper presents a Pade approximation based method for tighter bounds of the Q-function, which can be efficiently applied to compute integrals in SEP expressions for various digital modulation schemes. This method allows for a much better approximation effect, improving the accuracy of approximating the Q-function and SEP expressions.
WIRELESS PERSONAL COMMUNICATIONS
(2021)
Article
Physics, Multidisciplinary
Ricardo Coelho Ferreira, Michelle S. P. Facina, Felipe A. P. de Figueiredo, Gustavo Fraidenraich, Eduardo Rodrigues de Lima
Summary: This paper proposes metrics to analyze the performance of systems with multiple antennas aided by LIS in an environment with Nakagami-m distributed fading. It assumes non-ideal phase cancellation by LIS and shows that the resulting channel can be accurately approximated by a Gamma distributed SNR. The effect of the strength of the line-of-sight link can be evaluated by varying the Nakagami parameter, m.
