Abstract
The Gaussian Q-function has considerable applications in numerous areas of science and engineering. However, the fact that a closed-form expression for this function does not exist encourages finding approximations or bounds of the Q-function. In this paper, we determine analytically two novel interval upper bound Q-function approximations and show that they could be used efficiently not only for the symbol error probability (SEP) estimation of transmission over Nakagami-m fading channels, but also for the average symbol error probability (ASEP) evaluation for two modulation formats. Specifically, we determine analytically the composition of the upper bound Q-function approximations specified at disjoint intervals of the input argument values so as to provide the highest accuracy within the intervals, by utilizing the selected one of two upper bound Q-function approximations. We show that a further increase of the accuracy, achieved in the case with two upper-bound approximations composing the interval approximation, can be obtained by forming a composite interval approximation of the Q-function that assumes another extra interval and by specifying the third form for the upper-bound Q-function approximation. The proposed analytical approach can be considered universal and widely applicable. The results presented in the paper indicate that the proposed Q-function approximations outperform in terms of accuracy other well-known approximations carefully chosen for comparison purposes. This approximation can be used in numerous theoretical communication problems based on the Q-function calculation. In this paper, we apply it to estimate the average bit error rate (ABER), when the transmission in a Nakagami-m fading channel is observed for the assumed binary phase-shift keying (BPSK) and differentially encoded quadrature phase-shift keying (DE-QPSK) modulation formats, as well as to design scalar quantization with equiprobable cells for variables from a Gaussian source.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference38 articles.
1. Panić, S., Stefanović, M., Anastasov, J., and Spalević, P. Fading and Interference Mitigation in Wireless Communications, 2013.
2. A survey-cum-tutorial on approximations to Gaussian Q-function for symbol error probability analysis over Nakagami- m fading channels;Aggarwal;IEEE Commun. Surv. Tutor.,2019
3. Tighter bounds on the Gaussian Q function and its application in Nakagami-m fading channel;Sadhwani;IEEE Wirel. Commun. Lett.,2017
4. An improved method for ASEP evaluation over fading channels based on Q-function approximation;Marković;IETE J. Res.,2018
5. Application of Gaussian Q-function approximations in fluctuating Beckmann fading model;Aggarwal;Natl. Acad. Sci. Lett.,2021
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