The doctoral dissertations of the former Helsinki University of Technology (TKK) and Aalto University Schools of Technology (CHEM, ELEC, ENG, SCI) published in electronic format are available in the electronic publications archive of Aalto University - Aaltodoc.
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Statistical Analysis of the Wireless Propagation Channel and its Mutual Information

Jari Salo

Dissertation for the degree of Doctor of Science in Technology to be presented with due permission of the Department of Electrical and Communications Engineering for public examination and debate in Auditorium S5 at Helsinki University of Technology (Espoo, Finland) on the 19th of July, 2006, at 12 o'clock noon.

Overview in PDF format (ISBN 951-22-8247-X)   [378 KB]
Dissertation is also available in print (ISBN 951-22-8246-1)

Abstract

This thesis considers the statistical analysis of the mobile radio propagation channel and certain functions of it. First, mutual information of the fading multiple-input multiple-output (MIMO) wireless channel is analyzed. Specifically, an approximate distribution of mutual information for Rayleigh fading MIMO channels as well as an upper bound for the ergodic mutual information for Rician fading channels are derived. A novel decomposition of mutual information at high SNR is also considered. The decomposition also leads to an appealing measure for spatial multiplexing efficiency, or multipath richness, of a MIMO radio channel. As the second topic, the amplitude distribution function of the general multiple scattering radio channel is derived. Rayleigh, Rice, and double-Rayleigh distributions are special cases of the general result. In the third topic, an additive model is proposed as a physical basis for shadow fading – as an alternative to the conventional multiplicative one. A simple analytical justification for the log-normality of small area shadow fading is provided. The additive model is also shown to be supported by radio channel measurements.

This thesis consists of an overview and of the following 9 publications:

  1. J. Salo, F. Mikas, and P. Vainikainen, An Upper Bound on the Ergodic Mutual Information in Rician Fading MIMO Channels, IEEE Transactions on Wireless Communications, vol. 5, no. 6, pp. 1415-1421, Jun. 2006. © 2006 IEEE. By permission.
  2. J. Salo, P. Suvikunnas, H. M. El-Sallabi, and P. Vainikainen, Approximate Distribution of Capacity of Rayleigh Fading MIMO Channels, Electronics Letters, vol. 40, no. 12, pp. 741-742, Jun. 2004. © 2004 IEE. By permission.
  3. J. Salo, P. Suvikunnas, H. M. El-Sallabi, and P. Vainikainen, Some Insights into MIMO Mutual Information: the High SNR Case, IEEE Transactions on Wireless Communications, to appear. © 2006 IEEE. By permission.
  4. J. Salo, P. Suvikunnas, H. M. El-Sallabi, and P. Vainikainen, Ellipticity Statistic as Measure of MIMO Multipath Richness, Electronics Letters, vol. 42, no. 3, pp. 45-46, Feb. 2006. © 2006 IEE. By permission.
  5. J. Salo, H. M. El-Sallabi, and P. Vainikainen, The Distribution of the Product of Independent Rayleigh Random Variables, IEEE Transactions on Antennas and Propagation, vol. 54, no. 2, pp. 639-643, Feb. 2006. © 2006 IEEE. By permission.
  6. J. Salo, H. M. El-Sallabi, and P. Vainikainen, Statistical Analysis of the Multiple Scattering Radio Channel, IEEE Transactions on Antennas and Propagation, to appear. © 2006 by authors and © 2006 IEEE. By permission.
  7. J. Salo, H. M. El-Sallabi, and P. Vainikainen, Impact of Double-Rayleigh Fading on System Performance, In: Proceedings of the 1st IEEE International Symposium on Wireless Pervasive Computing (ISWPC 2006), Phuket, Thailand, Jan. 16-18, 2006, pp. 1-5. © 2006 IEEE. By permission.
  8. J. Salo, L. Vuokko, and P. Vainikainen, Why is Shadow Fading Lognormal? In: Proceedings of the 8th International Symposium on Wireless Personal Multimedia Communications (WPMC 2005), Aalborg, Denmark, Sept. 18-22, 2005, pp. 522-526. © 2005 WPMC. By permission.
  9. J. Salo, L. Vuokko, H. M. El-Sallabi, and P. Vainikainen, An Additive Model as a Physical Basis for Shadow Fading, IEEE Transactions on Vehicular Technology, to appear. © 2006 by authors and © 2006 IEEE. By permission.

Errata of publications 1 and 5

Keywords: radio channel, Rayleigh distribution, mutual information

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© 2006 Helsinki University of Technology

Last update 2011-05-26