@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 {Bouanani2020145037,
	title = {New Tight Bounds for the Gaussian Q-Function and Applications},
	journal = {IEEE Access},
	volume = {8},
	year = {2020},
	note = {cited By 7},
	pages = {145037-145055},
	abstract = {The Gaussian Q-function (GQF) and its integer powers are quite versatile in various fields of science. In most applications, it is involved in intractable integrals for which closed-form expressions cannot be evaluated. In this paper, six new bounds for the GQF are presented and their tightness and simplicity are discussed compared to existing ones. As an application, these bounds can be efficiently used to evaluate in closed-form upper bounds for the average symbol error rate for various modulation schemes, in the presence of a generalized fading channel whose probability density function can be written as a summation of a particular Bivariate Fox{\textquoteright}s H-functions. α-μ, κ-μ shadowed, and M{\'a}laga distribution models have been considered as particular cases of such distribution. To gain more insight into the system reliability, asymptotic closed-form expressions for the system{\textquoteright}s ASER over the above fading models are further derived and interesting discussions on the key fading parameters{\textquoteright} impact are made. Numerical results and simulations reveal the tightness of the proposed bounds compared to previous ones, while they keep almost the same complexity. {\textcopyright} 2013 IEEE.},
	keywords = {Average symbol error rate (SER), Closed-form expression, Distribution models, Fading channels, Fading parameters, Gaussian Q-function, Generalized fading channels, Modulation schemes, Probability density function, System reliability},
	doi = {10.1109/ACCESS.2020.3015344},
	url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85091875934\&doi=10.1109\%2fACCESS.2020.3015344\&partnerID=40\&md5=058cefb2e71342d56d628e22937a3318},
	author = {Bouanani, F.E. and Mouchtak, Y. and Karagiannidis, G.K.}
}
@conference {Mouchtak2016863,
	title = {New tighter upper bounds on the performance of convolutional code over exponentially correlated Rayleigh fading channel},
	booktitle = {2016 International Wireless Communications and Mobile Computing Conference, IWCMC 2016},
	year = {2016},
	note = {cited By 0},
	pages = {863-868},
	abstract = {This paper presents tighter bounds on the pairwise error-event probability and therefore very tighter upper bounds of bit error rate(BER) for communication systems employing convolutional code over Rayleigh fading channel with exponential correlation coefficient. To obtain our bound, we start by proposing a closed form upper bound for Gaussian Q-function and as well as deriving a new lower bound of each channel covariance matrix eigenvalue. The simulation results show that our proposed bound is tighter than those previously developed, especially when the covariance parameter q increases. A gain of over 6.5dB was achieved for q = 0.95 at BER=10-5 from the better previous bound, whereas for the lower values of q we reach the simulated curve. {\textcopyright} 2016 IEEE.},
	doi = {10.1109/IWCMC.2016.7577171},
	url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994189415\&doi=10.1109\%2fIWCMC.2016.7577171\&partnerID=40\&md5=9c87c7f8ec76a4a65c1e103b965da56b},
	author = {Mouchtak, Y. and El Bouanani, F.}
}
