ABSTRACT
MIMO channel analysis typically includes capacity; a more diverse channel will result in increased channel capacity. Many statistical measures for wireless channels exist but throughput performance ultimately is determined through the orthogonality of the subchannels comprising the MIMO channel. The capacity of MIMO channels is considered in conjunction with the angles between the complex channel impulse response vectors. The angle between complex Euclidean vectors is derived. For simulated complex baseband Rayleigh fading channel impulse responses, a short finite-length response with a constant power delay profile is similar in angle distribution to a longer response with an exponential profile, whose amplitude time constant is the same as the length of the former. The exponential profile limitations on the sub-channel vectors is shown to extend to capacity. The relationship of the variance of the complex sub-channel vector angles to the variance of the channel capacity is shown.
- Howard Anton. 1984. Elementary Linear Algebra (4th ed.). John Wiley & Sons Inc., New York, NY, USA.Google Scholar
- Rui Feng, Yu Liu, Jie Huang, Jian Sun, Cheng Xiang Wang, and George Goussetis. 2018. Wireless channel parameter estimation algorithms: Recent advances and future challenges. China Communications 15, 5 (2018), 211--228. https://doi.org/10.1109/CC.2018.8387999Google ScholarCross Ref
- S. Grob, P. D.J. Clark, and Kevin Hughes. 1998. Enhanced channel impulse response identification for the ITU HF measurement campaign. Electronics Letters 34, 10 (1998), 1022--1023. https://doi.org/10.1049/el:19980690Google ScholarCross Ref
- Andreas F. Molisch, Martin Steinbauer, Martin Toeltsch, Ernst Bonek, and Reiner S. Thomä. 2002. Capacity of MIMO Systems Based on Measured Wireless Channels. IEEE Journal on Selected Areas in Communications 20, 3 (2002), 561--569. https://doi.org/10.1109/49.995515 Google ScholarDigital Library
- R. J. Piechocki, G. V. Tsoulos, and J. P. McGeehan. 1998. Simple general formula for PDF of angle of arrival in large cell operational environments. Electronics Letters 34, 18 (1998), 1784--1785. https://doi.org/10.1049/el:19981264Google ScholarCross Ref
- Chris D. Rouse, Brent R. Petersen, and Bruce G. Colpitts. 2017. Characterising an In-Room MIMO System Employing Elevation-Directional Access Point Antennas. Wireless Personal Communications 96, 3 (oct 2017), 3889--3905. https://doi.org/10.1007/s11277-017-4356-3 Google ScholarDigital Library
- Ichiro Satake. 1975. Linear Algebra. Marcel Dekker, Inc., New York, NY, USA. 304-305 pages.Google Scholar
- Claude E. Shannon. 1949. Communication in the Presence of Noise. Proceedings of the IRE 37, 1 (1949), 10--21. https://doi.org/10.1109/JRPROC.1949.232969Google ScholarCross Ref
- Gilbert Strang. 1988. Linear Algebra and Its Applications (3rd ed.). Harcourt Brace Jovanovich, Publishers, San Diego, CA, USA.Google Scholar
- Chengshan Xiao and YR Zheng. 2003. Ergodic capacity, capacity distribution and outage capacity of MIMO time-varying and frequency-selective Rayleigh fading channels. In Proceedings of the Annual allerton Conference on Communication Control and Computing, Vol. 41. 346-355. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.83.2195&rep=rep1&type=pdfGoogle Scholar
- Jian Hua Zhang. 2012. Review of wideband MIMO channel measurement and modeling for IMT-Advanced systems. Chinese Science Bulletin 57, 19 (2012), 2387--2400. https://doi.org/10.1007/s11434-012-5203-2Google ScholarCross Ref
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