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Exact Pairwise Error Probability of Space-Time Codes under MAP Decoding with Applications
 

Summary: Exact Pairwise Error Probability of Space-Time
Codes under MAP Decoding with Applications

Firouz Behnamfar, Fady Alajaji, and Tam´as Linder
Department Mathematics and Statistics
Department of Electrical and Computer Engineering
Queen's University
Kingston, Ontario Canada K7L 3N6¡ firouz, fady, linder¢ @mast.queensu.ca
Abstract
We study the maximum a posteriori (MAP) decoding of memoryless non-uniform
sources over multiple-antenna channels. Our model is general enough to include space-
time coding, BLAST architectures, and single-transmit multi-receive antenna systems
which employ maximal receive combining (MRC) and any kind of channel coding. We
derive a closed-form single-letter expression for the codeword pairwise error probabil-
ity (PEP) of general multi-antenna codes using moment generating function and Laplace
transform arguments. We then utilize this result to design space-time linear dispersion
codes which are optimized for the source distribution. Two codes are given here which
outperform V-BLAST by 9.3 dB at a frame error rate (FER) of £¥¤§¦©¨ with uni-
form i.i.d. input and BPSK signaling and by 8 dB for a non-uniform binary source with
!#" ¨%$ ¨'&)( , MAP decoding, and Q-PSK signaling. The issue of bit-to-signal map-

  

Source: Alajaji, Fady - Department of Mathematics and Statistics, Queen's University (Kingston)
Linder, Tamás - Department of Mathematics and Statistics, Queen's University (Kingston)

 

Collections: Engineering