Average symbol error probability of arbitrary rectangular quadrature amplitude modulation in generalised shadowed fading channels

2008 ◽  
Vol 2 (7) ◽  
pp. 903 ◽  
Author(s):  
N.Y. Ermolova
Keyword(s):  
Fading Channels ◽  
Amplitude Modulation ◽  
Error Probability ◽  
Quadrature Amplitude Modulation ◽  
Symbol Error Probability ◽  
Shadowed Fading ◽  
Shadowed Fading Channels ◽  
Average Symbol Error Probability

New Accurate Approximation for Average Symbol Error Probability Under κ-μ Shadowed Fading Channel

2020 ◽  
Author(s):  
Yassine Mouchtak ◽  
Faissal El Bouanani
Keyword(s):  
Fading Channel ◽  
Error Probability ◽  
Additive White Gaussian Noise ◽  
Upper And Lower Bounds ◽  
Symbol Error Probability ◽  
M Phase ◽  
Shift Keying ◽  
Shadowed Fading ◽  
Modulation Schemes ◽  
Average Symbol Error Probability

Abstract This paper proposes new accurate approximations for average symbol error probability (ASEP) of a communication system employing either M-phase-shift keying (PSK) or differential quaternary PSK (DQPSK) modulation schemes, with Gray coding over κ-μ shadowed fading channel. Firstly, new accurate approximations of symbol error probability (SEP) of both modulation schemes are derived over additive white Gaussian noise (AWGN) channel. Leveraging the trapezoidal integral method, a tight SEP's approximation for M-PSK modulation is presented, while new upper and lower bounds for Marcum $Q$-function of the first order (MQF), and subsequently those for SEP under DQPSK scheme, are proposed. Next, these bounds are linearly combined to propose a highly accurate SEP's approximation. The key idea manifested in the decrease property of modified Bessel function $I_{v}$, strongly related with MQF, with its argument v. Finally, theses approximations are used to tackle ASEP's approximation under $\kappa-\mu$ shadowed fading. Numerical results show the accuracy of the presented approximations compared to the exact ones.

scholarly journals Performance Analysis Of Cooperative Relaying In Nakagami-M Fading Channels

1970 ◽  
Vol 6 (2) ◽  
pp. 1-5
Author(s):  
B Barua ◽  
MZI Sarkar
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Fading Channels ◽  
Generating Function ◽  
Error Probability ◽  
Moment Generating Function ◽  
Cooperative Relaying ◽  
Relay Network ◽  
Symbol Error Probability

This paper is concerned with the analysis of exact symbol error probability (SEP) for cooperative diversity using amplify-and-forward (AF) relaying over independent and non-identical Nakagami-m fading channels. The mathematical formulations for Probability Density Function (pdf) and Moment Generating Function (MGF) of a cooperative link have been derived for calculating symbol error probability with well-known MGF based approach taking M-ary Phase Shift Keying (MPSK) signals as input. The numerical results obtained from this research have been compared with different fading conditions. It is observed that the existence of the diversity link in a relay network plays a dominating role in error performance. Keywords: Symbol Error Probability; Probability Density Function; Moment Generating Function; Nakagami-m fading. DOI: http://dx.doi.org/10.3329/diujst.v6i2.9338 DIUJST 2011; 6(2): 1-5

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