Error Performance Analysis of $M$-ary $\theta$-QAM

This paper presents a unified analysis for the compact receiver with spatial diversity. The maximum ratio combining (MRC) receiver for linear antenna arrays is considered with the modulation scheme θ-QAM. The mathematical development takes into account parameters related to the physical structure of the array, as well, as the probability distribution used for modeling the direction of arrival (DoA) of the signals in the array. Von Mises and Gaussian distributions are considered to characterize the DoA. The unification of all the results in exact expressions to evaluate the symbol error probability (SEP) at the output of a MRC receiver is the main contribution of the research.

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“…in which M is the number of symbols s m,n of the constellation θ-QAM, whose coordinates, (s x i, s y j), are given by [24]…”

Section: A Symbol Error Probability Of a θ-Qam Scheme Under Correlatmentioning

confidence: 99%

Error Probability of Multichannel Reception with \theta-QAM Scheme Under Correlated Nakagami-m Fading

Queiroz

Madeiro

Lopes

et al. 2014

Journal of Communication and Information Systems

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“…In Equation 1, the parameters c 1 , c 2 , c 3 , c 4 , c 5 , and c 6 are related to the geometry of the constellation θ-QAM and are given by the following [16]:…”

Section: Symbol Error Probability Under Generalized Fadingmentioning

confidence: 99%

“…By means of theoretical analysis and simulations, they showed how to obtain a 0.62-dB power gain with respect to the SQAM constellation and a 0.20-dB power gain with respect to the TQAM regular constellation for a 10 −6 symbol error rate with 64-symbol constellations. The mathematical analysis of the effects of changing the QAM constellation angle θ gave rise to a modulation scheme referred to as parametric θ-QAM, which http://asp.eurasipjournals.com/content/2013/1/104 includes the SQAM and TQAM schemes as special cases [15,16].…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of generalized QAM modulation under η−μ and κ−μ fading

Queiroz

Madeiro

Lopes

et al. 2013

EURASIP J. Adv. Signal Process.

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This paper presents new closed-form expressions for the symbol error probability (SEP) of θ -QAM modulation with maximum ratio combining (MRC) receiver under η − μ and κ − μ fading. The SEP formulae, obtained from the definite integrals of the moment generating function (MGF) of the signal-to-noise ratio (SNR) at the input of the MRC receiver, are written in terms of Lauricella functions. The numerical evaluation of the expressions is carried out for the η − μ distribution, which includes important distributions as special cases, such as Hoyt, Nakagami-m, Rayleigh, and one-sided Gaussian, as well as for the κ − μ distribution, which includes Rice, Nakagami-m, Rayleigh, and one-sided Gaussian as special cases.

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“…Introduction: It is well known that cross QAM (CQAM) based on rectangular QAM (RQAM) has lower peak-to-average power ratio and better symbol error performance than RQAM [1]. Recently, θ-QAM based on CQAM was proposed, and the error performance and the optimum constellation for θ-QAM were analysed in additive white Gaussian noise (AWGN) and fading channels [2,3]. It was shown that the symbol error rate (SER) of θ-QAM, when θ is 60°, is lower than that of CQAM.…”

mentioning

confidence: 99%

Stepped θ ‐QAM for high‐order modulation

2017

Self Cite

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M-ary stepped θ-QAM (θ-QAM) for M = 2 2l , l ≥ 3 based on square QAM is proposed. The signal constellation of stepped θ-QAM and the coordinates of the symbols generalised for modulation order M are presented. Then analyse the symbol error rate (SER) performance, and the optimum value of θ in terms of minimum SER for stepped θ-QAM in additive white Gaussian noise and fading channels. Through computer simulations, the theoretical results are validated and show that stepped θ-QAM offers better error performance than θ-QAM.

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Error Performance Analysis of $M$-ary $\theta$-QAM

Cited by 25 publications

References 10 publications

Error Probability of Multichannel Reception with \theta-QAM Scheme Under Correlated Nakagami-m Fading

Error Probability of Multichannel Reception with \theta-QAM Scheme Under Correlated Nakagami-m Fading

Performance analysis of generalized QAM modulation under η−μ and κ−μ fading

Stepped θ ‐QAM for high‐order modulation

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