@article {Mouchtak20214388,
	title = {New accurate approximation for average error probability},
	journal = {IEEE Access},
	volume = {9},
	year = {2021},
	note = {cited By 2},
	pages = {4388-4397},
	abstract = {This paper proposes new accurate approximations for average error probability (AEP) of a communication system employing either M-phase-shift keying (PSK) or differential quaternary PSK with Gray coding (GC-DQPSK) modulation schemes over generalized fading channel. Firstly, new accurate approximations of error probability (EP) of both modulation schemes are derived over additive white Gaussian noise (AWGN) channel. Leveraging the trapezoidal integral method, a tight approximate expression of symbol error probability for M-PSK modulation is presented, while new upper and lower bounds for Marcum Q-function (MQF) of the first order, and subsequently those for bit error probability (BEP) under DQPSK scheme, are proposed. Next, these bounds are linearly combined to propose a highly refined and accurate BE P{\textquoteright}s approximation. The key idea manifested in the decrease property of modified Bessel function Iv, strongly related to MQF, with its argument v. As an application, these approximations are used to tackle AEP{\textquoteright}s approximation under κ - {\textmu} shadowed fading. Numerical results show the accuracy of the presented approximations compared to the exact ones. {\textcopyright} 2021 Institute of Electrical and Electronics Engineers Inc.. All rights reserved.},
	keywords = {Additive white Gaussian noise channel, Approximate expressions, Average error probability, Bit error probability, Bit error rate, Errors, Fading channels, Gaussian noise (electronic), Generalized fading channels, Modified Bessel function, Probability, Quadrature phase shift keying, Symbol error probabilities (SEP), Upper and lower bounds, White noise},
	doi = {10.1109/ACCESS.2020.3048130},
	url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099099908\&doi=10.1109\%2fACCESS.2020.3048130\&partnerID=40\&md5=7831b4945ad3cbac14e95bbc3f6f1250},
	author = {Mouchtak, Y. and El Bouanani, F.}
}
@article {Kishore20217232,
	title = {Sum Rate Analysis of Generalized Space Shift Keying-Aided MIMO-NOMA Systems},
	journal = {IEEE Transactions on Vehicular Technology},
	volume = {70},
	number = {7},
	year = {2021},
	note = {cited By 1},
	pages = {7232-7236},
	abstract = {We investigate the sum rate performance of a generalized space shift keying (GSSK)-aided, non-orthogonal multiple access (NOMA) network. In particular, we consider a multiple-input multiple-output (MIMO) NOMA downlink channel, where the base station employs GSSK modulation to transmit additional information to the NOMA users. We present a novel energy-based maximum likelihood (ML) detection strategy at the NOMA users to decode the active antenna indices. We derive a closed-form expression for the average pairwise error probability of the energy-based ML strategy to find a union bound on the bit error probability. Further, we derive the expression for the overall sum rate of the proposed GSSK-aided MIMO-NOMA system. Through numerical evaluations, we show that the proposed system outperforms the conventional MIMO-NOMA system, in terms of spectral efficiency. {\textcopyright} 1967-2012 IEEE.},
	keywords = {Antennas, Bit error probability, Bit error rate, Block codes, Closed-form expression, Downlink channels, Maximum likelihood, Maximum-likelihood detection, MIMO systems, Multiple access, Pair-wise error probability, Space-shift keying, Spectral efficiencies, Trellis codes},
	doi = {10.1109/TVT.2021.3085415},
	url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107332896\&doi=10.1109\%2fTVT.2021.3085415\&partnerID=40\&md5=43ed806aa513f25c8c35a3c8a9b88af1},
	author = {Kishore, R. and Gurugopinath, S. and Muhaidat, S. and Bouanani, F.E. and Dobre, O.A.}
}
@article {11060479520151029,
	title = {A semi-analytical performance prediction of a digital communication system using Fourier transform inversion.},
	journal = {EURASIP Journal on Wireless Communications \& Networking},
	volume = {2015},
	number = {1},
	year = {2015},
	pages = {1 - 13},
	abstract = {Analytical performance evaluation of a digital communication system remains a serious problem especially when a sophisticated digital signal processing is considered. Moreover, it is difficult to obtain the expected performance of such system using the Monte Carlo simulation method. In this paper, we propose a new semi-analytical approach for predicting error probability in a digital communication system. This approach is based on Fourier transform inversion formula to estimate the probability density function (pdf) of the observed soft sample at the receiver. Furthermore, we applied a bootstrap method for selecting the optimal smoothing parameter to make the proposed semi-analytical method more accurate. Simulation results show that the obtained semi-analytical error probability is close to the one measured using Monte Carlo simulation and provides a significant gain in terms of computing time. Besides, the use of the bootstrap method decreases the squared error between the true pdf},
	keywords = {Bit error probability, Bit error rate {\textendash} Research, Digital communications {\textendash} Research, Fourier transform infrared spectroscopy {\textendash} Research, Fourier transform inversion, Monte Carlo method {\textendash} Research, pdf, Semi-analytical approach, Signal processing {\textendash} Digital techniques {\textendash} Research, Smoothing parameter},
	issn = {16871472},
	url = {http://search.ebscohost.com/login.aspx?direct=true\&db=iih\&AN=110604795\&site=ehost-live},
	author = {Naamane, Fatima and Et-tolba, Mohamed and Belkasmi, Mostafa}
}
