Capacity Loss Due to Polarization-Mismatch and Space-Correlation on MISO Channel

• Published in: IEEE transactions on wireless communications Vol. 13; no. 4; pp. 2124 - 2136
• Main Authors: HEEJIN JOUNG, JO, Han-Shin, CHEOL MUN, YOOK, Jong-Gwan
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.04.2014; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antenna arrays; Antennas; Applied sciences; Approximation; capacity loss; Channels; Coefficients; Correlation; Detection, estimation, filtering, equalization, prediction; Exact sciences and technology; Information, signal and communications theory; Insurance claims; large-scale antenna arrays; Mathematical models; MIMO; MISO channel; Polarization-mismatch; Radiocommunications; Receiving antennas; Signal and communications theory; Signal to noise ratio; Signal, noise; small cell; space-correlation; Spreads; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Transmitting antennas; Wireless communication; Correlation coefficient; Polarization diversity; Parameter estimation; Two channel system; Ergodicity; small cell; Mismatching; space-correlation; Upper bound; Model matching; Transmitting antenna; large-scale antenna arrays; Channel estimation; capacity loss; MISO system; Antenna array; Polarization-mismatch; Signal to noise ratio; MISO channel
• ISSN: 1536-1276; 1558-2248
• DOI: 10.1109/TWC.2014.031314.131079

This paper analyzes the effects of polarization-mismatch and space-correlation to a multiple-input and single-output (MISO) channel which is observable in the near future cellular communications environments such as large-scale antenna arrays and small cells. The analysis is based on a polarization-mismatched and space-correlated MISO channel which is modeled from the conventional dual-polarized channel. In the MISO channel, polarization-mismatch is described by the polarization-mismatch angle which is uniformly distributed from 0 to the maximum polarization-mismatch angle and space-correlation is described by the exponential correlation model. Assuming high SNR, approximate expressions of the ergodic capacity are derived as a function of the transmit power, number of transmit antennas, maximum polarization-mismatch angle, and space-correlation coefficient in four representative environments: narrowly or widely spread polarization-mismatch angles and slightly or highly correlated channels. Further, the capacity loss introduced by polarization-mismatch and space-correlation is derived with respect to the maximum polarization-mismatch angle and space-correlation coefficient. It is shown that the capacity loss introduced by polarization-mismatch is upper bounded by 2 bit/s/Hz. Whereas, the capacity loss introduced by space-correlation increase with the number of transmit antennas and is upper bounded by 0.832 bit/s/Hz. Required resources to compensate for the capacity loss is derived as well.