Closed-form SER expressions for Star MQAM in frequency non-selective Rician and Nakagami- channels

Barbounakis, Ioannis S.; Papadakis, Aris M.

doi:10.1016/j.aeue.2004.11.035

Cited by 7 publications

(7 citation statements)

References 3 publications

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“…3 it is evident that the values of SER predicted in [7] (with modifications given in [8]) neither match with the ones that have been estimated here nor do they correspond to the values obtained through Monte Carlo simulation. From the figures it can also be seen that for low values of SNR, the SER values obtained from the expressions given in [7][8] becomes more than unity. This cannot be true as SER is the measure of symbol error probability and under no circumstances it can be greater than 1.…”

Section: Numerical Results and Discussioncontrasting

confidence: 63%

“…Second, using the derived expressions, we analysed SER of star QAM in Rayleigh, Rician, and Nakagami-m fading channels extending Dong's earlier work [6] which was applicable only to 16 star QAM. Third, the current work also corrects the flaws of Barbounakis's [7] work, published few years back.…”

Section: Introductionmentioning

confidence: 60%

“…This cannot be true as SER is the measure of symbol error probability and under no circumstances it can be greater than 1. Moreover, in [7], the rings are considered to be equidistant and thus the analysis lack generality.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Accurate SER expressions for M-ary dual ring star QAM in fading channels

Dutta¹,

Chandra

2012

2012 International Conference on Communications, Devices and Intelligent Systems (CODIS)

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Analytical expressions for symbol error rate (SER) of M -ary dual ring star shaped quadrature amplitude modulation (QAM), when corrupted by additive white Gaussian noise (AWGN), have been derived. Utilizing the result for AWGN channel, SER expressions for various frequency non-selective slow fading channels (e.g. Rayleigh, Rician, and Nakagamim) are also found. The results obtained are in the form of summation of single integrals which can be easily calculated through numerical methods. More importantly, compared to the erroneous results published earlier, the derived expressions are accurate. Extensive Monte Carlo simulations were performed to validate the analytical framework. The inadequacy of Gray's approximation for calculation of bit error rate (BER) has also been pointed out.

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Section: Numerical Results and Discussioncontrasting

confidence: 63%

Section: Introductionmentioning

confidence: 60%

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Accurate SER expressions for M-ary dual ring star QAM in fading channels

Dutta¹,

Chandra

2012

2012 International Conference on Communications, Devices and Intelligent Systems (CODIS)

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“…Exploiting the relationship (7.1.21) [29], the conditional SEP in (8) can be written in terms of confluent hypergeometric function 1 …”

Section: Rician Fading Channelmentioning

confidence: 99%

“…A parallel development by WiMAX forum (IEEE 802.16j task group) to introduce mobile multihop relaying [4], opens up new possibilities of LOS communication among mobile terminals and nearest relay nodes. Rician fading may also be used to model long-range radio channels like suburban land mobile system [5], maritime satellite links [6] and satellite mobile channels [7] as well as fixed indoor wireless solutions like wireless local area network (WLAN) [8], cordless telecommunication (CT) [2] and factory aisles [9]. Experimental measurements performed at different frequency bands, e.g.…”

Section: Introductionmentioning

confidence: 99%

Performance of Single and Multichannel Coherent Reception under Rician Fading

Chandra

Bose

2009

Int J Wireless Inf Networks

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In the present work, simple closed-form series solutions for the average error rate of several coherent modulation schemes such as, binary phase shift keying (BPSK), binary frequency shift keying (BFSK), differential binary phase shift keying (DBPSK), quadrature phase shift keying (QPSK), offset-QPSK, minimum shift keying (MSK), and square M-ary quadrature amplitude modulation (M-QAM), operating over frequency non-selective slow Rician fading channel and corrupted by additive white Gaussian noise (AWGN) are derived. Further, to improve the link quality, receiver antenna space diversity is considered, where multiple independent and identically distributed (i.i.d.) as well as uncorrelated signal replicas are combined before successive demodulation. The proposed linear predetection combiner follows optimum maximal ratio combining (MRC) algorithm. Starting from a novel unified expression of conditional error probability the error rates are analysed using probability density function (pdf) based approach. The derived end expressions, consisting of rapidly converging infinite series summations of Gauss hypergeometric function, are accurate, free from any numerical integration and general enough, as it encompasses as special situations, some cases of non-diversity, non-fading AWGN and Rayleigh fading. Symbol or, bit error probabilities (SEP/BEP) are graphically displayed against signal to noise ratio (SNR) per bit per channel for all the digital modulation schemes stated above with different values of diversity order L and varying values of the channel specular-to-scatter ratio or, the Rician parameter K, as found from the measured statistics of mobile and indoor wireless channels. In addition, to examine the dependence of error rate performance of M-QAM on the constellation size M, numerical results are plotted for various values of M. Selected simulation results are also provided to verify the analytical deductions. The series solutions presented in current text realize a trade-off between precision and complexity and offers valuable insight into the performance evaluation over a fading channel in a unified manner.

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