Average bit error probability of binary coherent signaling over generalized fading channels subject to additive generalized gaussian noise
Type
Article
KAUST Department
Communication Theory LabComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Physical Science and Engineering (PSE) Division
Date
2012-06Permanent link to this record
http://hdl.handle.net/10754/561406Metadata
Show full item recordAbstract
This letter considers the average bit error probability of binary coherent signaling over flat fading channels subject to additive generalized Gaussian noise. More specifically, a generic closed form expression in terms of the Fox's H function is offered for the extended generalized-K fading case. Simplifications for some special fading distributions such as generalized-K fading and Nakagami-m fading and special additive noise distributions such as Gaussian and Laplacian noise are then presented. Finally, the mathematical formalism is illustrated by some numerical examples verified by computer based simulations for a variety of fading and additive noise parameters. © 2012 IEEE.Citation
Soury, H., Yilmaz, F., & Alouini, M.-S. (2012). Average Bit Error Probability of Binary Coherent Signaling over Generalized Fading Channels Subject to Additive Generalized Gaussian Noise. IEEE Communications Letters, 16(6), 785–788. doi:10.1109/lcomm.2012.040912.112612Sponsors
This work was supported by King Abdullah University of Science and Technology (KAUST).Journal
IEEE Communications LettersScopus Count
Related items
Showing items related by title, author, creator and subject.
-
Mixed RF/FSO Communications with Outdated-CSI-Based Relay Selection under Double Generalized Gamma Turbulence, Generalized Pointing Errors and Nakagami-m Fading(IEEE Transactions on Wireless Communications, IEEE, 2019-11-28) [Article]This paper investigates the performance of dual-hop amplify-and-forward (AF) mixed radio frequency (RF)/free-space optical (FSO) transmissions with partial relay selection (PRS) based on outdated channel state information (CSI) estimates. Turbulence-induced fading, path loss, and pointing errors, are all considered in the FSO channel modeling. Both the fading and the path loss are described through general models which encompass the commonly used models. Novel expressions for the cumulative distribution function, probability density function, moment generating function, and moments of the end-to-end signal-to-noise ratio (SNR) are obtained in closed-form. Thereafter, novel closedform expressions for key performance metrics, namely, outage probability, average bit error probability and spectral efficiency, are derived. The analysis is unified, applying to both types of detection techniques, intensity modulation/direct direction and heterodyne detection. Asymptotic analysis is further conducted, which open the door to additional important results. Monte Carlo simulation results confirm the effectiveness of the proposed analysis, and attest that in AF RF/FSO systems with PRS based on outdated CSI estimates, where implementing higher number of relays is highly difficult and costly, the low SNR regime may be prohibitive because it hinders the diversity advantages promised by the use of more relays in PRS systems.
-
On Generalizations of Fatou’s Theorem in Lp for Convolution Integrals with General Kernels(Journal of Geometric Analysis, Springer Science and Business Media LLC, 2020-03-30) [Article]We prove Fatou-type theorem on almost everywhere convergence of convolution integrals in spaces Lp(1<p<∞) for general kernels, forming an approximate identity. For a wide class of kernels, we show that obtained convergence regions are optimal in some sense. It is established a weak boundedness in Lp(1≤p<∞) of the corresponding maximal operator.
-
Exact Symbol Error Probability of Square M-QAM Signaling over Generalized Fading Channels subject to Additive Generalized Gaussian Noise(2013 IEEE International Symposium on Information Theory, Institute of Electrical and Electronics Engineers (IEEE), 2013-07) [Conference Paper]This paper considers the average symbol error probability of square Quadrature Amplitude Modulation (QAM) coherent signaling over flat fading channels subject to additive generalized Gaussian noise. More specifically, a generic closedform expression in terms of the Fox H function and the bivariate Fox H function is offered for the extended generalized-K fading case. Simplifications for some special fading distributions such as generalized-K fading, Nakagami-m fading, and Rayleigh fading and special additive noise distributions such as Gaussian and Laplacian noise are then presented. Finally, the mathematical formalism is illustrated by some numerical examples verified by computer based simulations for a variety of fading and additive noise parameters.
