Matched filter bound for multichannel diversity over frequency-selective Rayleigh-fading mobile channels

We propose a theoretical evaluation of the matched filter bound (MFB) of L-branch antenna diversity with maximal-ratio-combining (MRC) in a frequency-selective Rayleigh-fading channel. The theoretical derivation is based on a Karhunen-Loeve expansion. Although many previous approaches of this kind h...

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Bibliographic Details
Published in:IEEE transactions on vehicular technology 2000-09, Vol.49 (5), p.1832-1845
Main Authors: Visoz, R., Bejjani, E.
Format: Article
Language:English
Subjects:
Antenna theory
Antennas
Applied sciences
Channels
Communication standards
Derivation
Detection, estimation, filtering, equalization, prediction
Diversity methods
Downlink
Equipments and installations
Exact sciences and technology
Frequency diversity
Gain
Global System for Mobile Communications
GSM
Information, signal and communications theory
Invariants
Matched filters
Mobile radiocommunication systems
Polarization
Radiocommunications
Rayleigh channels
Receivers
Receiving antennas
Regulation
Signal and communications theory
Signal, noise
Studies
Telecommunications
Telecommunications and information theory
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Summary:We propose a theoretical evaluation of the matched filter bound (MFB) of L-branch antenna diversity with maximal-ratio-combining (MRC) in a frequency-selective Rayleigh-fading channel. The theoretical derivation is based on a Karhunen-Loeve expansion. Although many previous approaches of this kind have been presented in the past, we give a more general and straightforward one as our model accounts for the correlations between the L branches and between the channel taps within each branch, as well as the mismatch between the average received power per branch. The usefulness of our approach is shown through two different applications. First the benefits of a two branch receiver (L=2) using spatial or polarization diversity for the global system for mobile communication (GSM) and Interim Standard 95 (IS-95) downlink systems both using binary signaling, are compared. Second, with the use of our theoretical model, it is proved that the diversity gain is invariant by any unitary transformation. As a result, and contrary to widespread belief, polarization diversity gain is shown to be invariant by spatial rotation of the receiver antennas.
ISSN:0018-9545
1939-9359
DOI:10.1109/25.892587