Average Bit Error Probability of Binary Coherent Signaling over Generalized Fading Channels Subject to Additive Generalized Gaussian Noise

• Published in: IEEE communications letters Vol. 16; no. 6; pp. 785 - 788
• Main Authors: Soury, H., Yilmaz, F., Alouini, Mohamed-Slim
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.06.2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: additive generalized Gaussian noise; Additives; and Nakagami-m; Applied sciences; Binary phase shift keying; Bit error probability; Channels; Coherence; Error probability; Exact sciences and technology; extended generalized-K; Fading; Gaussian; Gaussian noise; generalized composite fading channels; generalized Nakagami-m; generalized-K; Information, signal and communications theory; Mathematical analysis; Mathematical models; Modulation, demodulation; Noise; Shadow mapping; Signal and communications theory; Switching and signalling; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Additive noise; Fading channels; Computer simulation; Bit error rate; generalized Nakagami-m,and Nakagami-m; Binary phase shift keying; Signalling; Laplacian; Composite material; Bit error probability; generalized composite fading channels; Nakagami fading; Gaussian noise; Numerical simulation; generalized-K; extended generalized-K; additive generalized Gaussian noise
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2012.040912.112612

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.