Statistical Analysis of Cascaded Multipath Fading Channels

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School of Electrical Engineering | Doctoral thesis (article-based) | Defence date: 2015-12-17
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Authors

Date

2015

Department

Tietoliikenne- ja tietoverkkotekniikan laitos
Department of Communications and Networking

Major/Subject

Mcode

Degree programme

Language

en

Pages

62 + app. 64

Series

Aalto University publication series DOCTORAL DISSERTATIONS, 209/2015

Abstract

In cellular communication systems, one of the prominent impairments due to the wireless channel is the multipath fading. In this thesis, we study the multipath effects, particularly in the so-called cascaded fading channels. These channel models are useful when characterizing the indoor signal propagation, time-reversal transmission, and the rank deficiency due to insufficient scattering in multiantenna communications.  Thesis focuses on the statistical performance metrics of wireless systems. More precisely, in single-antenna transmission, we analyze the received signal distribution via moment-based approximation in presence of correlated cascaded channels. Using these results, the impact of channel correlation and number of scatterers are investigated for the cascaded Nakagami-m channels. Furthermore, the signal distribution of the cascaded Rician channel is used to construct a test statistics for a blind time-reversal detector. In the presence of a point target embedded in the multipath scattering, we show by Monte Carlo simulation that the proposed detector outperforms the existing detectors.  In multi-antenna communications framework we consider information theoretic limits for the cascaded Rayleigh MIMO channels. In the ergodic channel, we obtain a lower bound for the ergodic mutual information and deduce a rate scaling law using a recent result from the random matrix theory. For the non-ergodic channel, we study the outage probability by establishing the central limit theorem for the linear spectral statistics of the channel matrices. This result also motivates us to construct a simple approximation for the fundamental tradeoff between diversity gain and multiplexing gain of the MIMO channel at realistic SNR levels.

Description

Supervising professor

Hämäläinen, Jyri, Prof., Aalto University, Department of Communications and Networking, Finland

Thesis advisor

Hämäläinen, Jyri, Prof., Aalto University, Department of Communications and Networking, Finland

Keywords

cascaded fading channel, free probability theory, MIMO, random matrix theory, wireless communications

Other note

Parts

  • [Publication 1]: Zhong Zheng, Lu Wei, Jyri Hämäläinen, and Olav Tirkkonen. Approximation to distribution of product of random variables using orthogonal polynomials for lognormal density. IEEE Communications Letters, vol. 16, no. 12, pp. 2028-2031, Dec. 2012.
    DOI: 10.1109/LCOMM.2012.101712.122141 View at publisher
  • [Publication 2]: Zhong Zheng, Lu Wei, and Jyri Hämäläinen. Novel approximations to the statistics of general cascaded Nakagami-m channels and their applications in performance analysis. In Proceedings of IEEE International Conference on Communications, Budapest, Hungary, pp. 5835-5839, June 2013.
    DOI: 10.1109/ICC.2013.6655528 View at publisher
  • [Publication 3]: Zhong Zheng, Lu Wei, Jyri Hämäläinen, and Olav Tirkkonen. A blind time-reversal detector in the presence of channel correlation. IEEE Signal Processing Letters, vol. 20, no. 5, pp. 459-462, May 2013.
    DOI: 10.1109/LSP.2013.2251880 View at publisher
  • [Publication 4]: Lu Wei, Zhong Zheng, Olav Tirkkonen, and Jyri Hämäläinen. On the ergodic mutual information of multiple cluster scattering MIMO channels. IEEE Communications Letters, vol. 17, no. 9, pp. 1700-1703, Sept. 2013.
    DOI: 10.1109/LCOMM.2013.071813.131137 View at publisher
  • [Publication 5]: Zhong Zheng, Lu Wei, Roland Speicher, Ralf Müller, Jyri Hämäläinen, and Jukka Corander. On the fluctuation of mutual information in double scattering MIMO channels. In Proceedings of International Zurich Seminar on Communications, Zurich, Switzerland, pp. 104-107, June 2013.
    DOI: 10.3929/ethz-a-010094932 View at publisher
  • [Publication 6]: Zhong Zheng, Lu Wei, Roland Speicher, Ralf Müller, Jyri Hämäläinen, and Jukka Corander. Outage capacity of Rayleigh product channels: a free probability approach. IEEE Transactions on Information Theory, submitted on 17th Feb. 2015.
  • [Publication 7]: Zhong Zheng, Lu Wei, Roland Speicher, Ralf Müller, Jyri Hämäläinen, and Jukka Corander. On the finite-SNR diversity-multiplexing tradeoff in large Rayleigh product channels. In Proceedings of IEEE International Symposium on Information Theory, Hong Kong, pp. 2593-2597, June 2015.
    DOI: 10.1109/ISIT.2015.7282925 View at publisher

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https://urn.fi/URN:ISBN:978-952-60-6563-2

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[diss] Sähkötekniikan korkeakoulu / ELEC