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Robust concatenated codes for the slow Rayleigh fading channel

In this thesis, we design a robust concatenated code for the Multiple-Input
Multiple-Output (MIMO) system in the presence of slow Rayleigh fading with no
channel side information at the transmitter (no CSIT) and perfect channel side
information at the receiver (perfect CSIR). Since we are interested in the slow fading
channel, outage capacity is used as the measure of performance. Good space-time codes
can be designed so as to maximize the so-called rank and the determinant criteria.
However, a practical system will concatenate a space-time code with an outer code at the
transmitter and perform iterative decoding at the receiver. It is necessary to design the
space-time code together with the outer code in practice. We will call this kind of code a
concatenated space-time code.
At the transmitter, we will consider the bit-to-symbol mapping and space-time
code together as a space-time modulator and thus, Bit Interleaved Coded Modulation
(BICM) and Multilevel coding (ML) can be applied to design outer codes for the nonbinary
constellation. However, the concatenated space-time codes designed by these two
methods can only be decoded with arbitrarily small error probability for a fixed channel
realization and such designs are not robust over the ensemble of fading channels.
Our approach of designing concatenated space-time code is to design an outer
code for a space-time modulator such that the concatenated space-time code can be
decoded with arbitrarily small error probability in a set of fixed channels which have the
same capacity. Through this approach, we discovered a new design criterion for spacetime
codes: a good space-time code should stabilize its Extrinsic Information Transfer
(EXIT) charts. In other words, the robustness of a space-time code in the slow fading
channel and its performance in iterative decoding can be visualized by the EXIT charts. The rank and the determinant criterion do not evaluate the performance of a space-time
code in iterative decoding, but the new criterion does. Therefore, the new criterion is
applicable to design concatenated space-time codes.
Applying our approach and new criterion, a rate 7.2 bits/s/Hz concatenated
space-time code is designed. The performance is close to the outage capacity, and the
rate lost is 0.2 bits/s/Hz.

Identiferoai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/ETD-TAMU-2723
Date15 May 2009
CreatorsHsu, Teh-Hsuan
ContributorsNarayanan, Krishna R.
Source SetsTexas A and M University
Languageen_US
Detected LanguageEnglish
TypeBook, Thesis, Electronic Thesis, text
Formatelectronic, application/pdf, born digital

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