LCR and AFD of the Products of Nakagami-m and Nakagami-m Squared Random Variables: Application to Wireless Communications Through Relays

Stefanović, Časlav; Milovanović, Ivan; Panić, Stefan; Stefanović, Mihajlo

doi:10.1007/s11277-021-09258-6

Cited by 2 publications

(1 citation statement)

References 45 publications

(21 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, the motivation of our research was to examine the possibility of deriving a novel, simple, highly accurate Q-function approximation, which could be used efficiently not only for the SEP estimation of transmission over Nakagami-m fading channels, but also for the ASEP evaluation. Although this problem has been extensively reported in the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], the need for simpler and more accurate Q-function approximations still exists due to the continuous development of various wireless services. In regards to some of our previous research works [4,[21][22][23], herein, tighter bounds are observed in order to obtain better and more accurate results.…”

Section: Introductionmentioning

confidence: 99%

Two Interval Upper-Bound Q-Function Approximations with Applications

Perić

Marković²,

Kontrec³

et al. 2022

Mathematics

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Two Interval Upper-Bound Q-Function Approximations with Applications

Perić

Marković²,

Kontrec³

et al. 2022

Mathematics

View full text Add to dashboard Cite

show abstract

Wireless Communication System Performance in M2M Nakagami-m Fading Channel

Nešić

Milošević

Spalević³

et al. 2023

Sustainability

View full text Add to dashboard Cite

In this paper, we investigate a wireless mobile communication system with a cooperative network operating over a mobile-to-mobile (M2M) fading channel in the presence of co-channel interference. Since there is no direct line of sight between the source (S) and the destination (D) due to various obstacles, the signal transmission takes place by using a relay (R). We modeled and represented the desired signal and co-channel interference by using the Nakagami-m fading distribution from the source (S) to the relay (R), as well as from the relay (R) to the destination (D). As the popularity of M2M communication has increased in 5G cellular networks, the performance analysis of the proposed system is of great importance. We derived closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the signal-to-interference ratio (SIR) at the input of the destination station. Based on the cumulative distribution function (CDF), we also evaluated the outage probability (Pout) of the proposed communication system. In addition, we derived a closed-form approximate expression for the level crossing rate (LCR) by using the Laplace approximation formula for the three-fold integral. Validity of the derived theoretical results we approved by Monte Carlo simulations.

show abstract

LCR and AFD of the Products of Nakagami-m and Nakagami-m Squared Random Variables: Application to Wireless Communications Through Relays

Cited by 2 publications

References 45 publications

Two Interval Upper-Bound Q-Function Approximations with Applications

Two Interval Upper-Bound Q-Function Approximations with Applications

Wireless Communication System Performance in M2M Nakagami-m Fading Channel

Contact Info

Product

Resources

About