Outage Probabilities of Wireless Systems With Imperfect Beamforming

• Published in: IEEE transactions on vehicular technology Vol. 55; no. 5; pp. 1503 - 1515
• Main Authors: Li, H., Yu-Dong Yao, Jin Yu
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2006; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antenna arrays; Antennas; Applied sciences; Array perturbation; Array signal processing; Beamforming; Detection, estimation, filtering, equalization, prediction; Direction of arrival estimation; direction-of-arrival (DOA) estimation errors; Directive antennas; Errors; Estimation error; Exact sciences and technology; Fading; Information, signal and communications theory; Linear antenna arrays; Mutual coupling; Nakagami fading; outage probability; Outages; Perturbation methods; Probability; Radiocommunications; Rayleigh channels; Rayleigh fading; Rician fading; Signal and communications theory; signal spatial spreads; Signal, noise; Spreads; Statistics; Telecommunications; Telecommunications and information theory; Performance evaluation; Mutual coupling; Estimation error; Direction-of-arrival estimation; Parameter estimation; Error estimation; Outage; Wireless telecommunication; Signal estimation; Rice fading; Perturbation; Beam forming; Array perturbation; Nakagami fading; outage probability; Numerical simulation; Rayleigh distribution; Rayleigh fading; Linear antenna arrays; beamforming; Antenna array; Rician fading; direction- of-arrival (DOA) estimation errors; signal spatial spreads
• ISSN: 0018-9545; 1939-9359
• DOI: 10.1109/TVT.2006.878611

This paper investigates the outage probability of a wireless system with conventional beamforming using a uniform linear array beamformer. The focus is to examine the impact of beamforming impairments, such as direction-of-arrival (DOA) estimation errors, signal spatial spreads, antenna array perturbation, and mutual coupling. Fading statistics of Rayleigh, Rician, and Nakagami are used to characterize the desired signal, whereas interferers are assumed to be subject to Rayleigh fading. A simplified beamforming model is used in deriving closed-form outage probability expressions. Numerical results illustrate the increase of outage probabilities in the presence of DOA estimation errors, signal spatial spreads, and antenna perturbation. However, negligible outage performance impact is observed due to mutual coupling