Analytical Framework for Optimal Combining With Arbitrary-Power Interferers and Thermal Noise

• Published in: IEEE transactions on vehicular technology Vol. 57; no. 3; pp. 1564 - 1575
• Main Authors: Heewon Kang, Jin Sam Kwak, Pratt, T.G., Stuber, G.L.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.05.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive antennas; Antennas; Applied sciences; cochannel interference; Diversity reception; Eigenvalues; Error analysis; Exact sciences and technology; Exact solutions; Fading; fading channels; Gaussian; Information, signal and communications theory; Interchannel interference; Mathematical analysis; Mathematical models; MIMO; Modulation; Modulation, demodulation; multiple-input-multiple-output (MIMO) systems; Optimization; Performance analysis; Radiocommunications; Receiving antennas; Signal and communications theory; Signal to noise ratio; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Thermal noise; Transmission and modulation (techniques and equipments); Transmitting antennas; Working environment noise; MIMO systems; co-channel interference; fading channels; adaptive antennas; Fading channels; Performance evaluation; MIMO system; Generating function; Cochannel interference; Eigenvalue; Output signal; Joint distribution; M ary modulation; Accuracy; Adaptive antenna; Adaptive antennas; Analytical method; multiple-input-multiple-output (MIMO) systems; Distribution function; Numerical simulation; Thermal noise; SIMO system; Rayleigh fading; Signal to interference plus noise ratio; Symbol error rate; Quadratic function
• ISSN: 0018-9545; 1939-9359
• DOI: 10.1109/TVT.2007.907293

The performance of multiple-input-multiple-output systems with optimum combining (OC) is studied in a Rayleigh fading environment with arbitrary-power cochannel interference and thermal noise. Based on the joint eigenvalue distributions of quadratic functions of complex Gaussian matrices, a closed-form expression for the exact distribution of the output signal-to-interference-plus-noise ratio (SINR) is derived. A closed-form expression for the exact moment-generating function (MGF) of the output SINR of single-input-multiple-output (SIMO) systems is also derived. From the exact MGF, the moments of the output SINR and the symbol error rate of various M-ary modulation schemes are obtained. We verify the accuracy of our analytical results with numerical examples. The new analytical framework provides a simple and accurate way to assess the effects of equal- and unequal-power cochannel interferers and thermal noise on the performance of OC.