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dc.contributor.authorPerić, Zoran
dc.contributor.authorMarković, Aleksandar
dc.contributor.authorKontrec, Nataša
dc.contributor.authorNikolić, Jelena
dc.contributor.authorPetković, Marko
dc.contributor.authorJovanović, Aleksandra
dc.date.accessioned2023-04-18T06:43:01Z
dc.date.available2023-04-18T06:43:01Z
dc.date.issued2022-10-10
dc.identifier.citationTR35030en_US
dc.identifier.urihttps://platon.pr.ac.rs/handle/123456789/1206
dc.description.abstractThe 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 sourceen_US
dc.language.isoen_USen_US
dc.publisherMathematics and computer sciencesen_US
dc.titleTwo Interval Upper-Bound Q-Function Approximations with Applicationsen_US
dc.title.alternativeMathematics and computer sciencesen_US
dc.typeclanak-u-casopisuen_US
dc.description.versionpublishedVersionen_US
dc.identifier.doi10.3390/math10193590
dc.citation.volume10
dc.subject.keywordsQ-functionen_US
dc.subject.keywordsapproximationen_US
dc.subject.keywordsNakagami-m fadingen_US
dc.subject.keywordsmodulation formatsen_US
dc.type.mCategoryM21aen_US
dc.type.mCategoryopenAccessen_US
dc.type.mCategoryM21aen_US
dc.type.mCategoryopenAccessen_US


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