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Asymptotically-Good, Multigroup ML-Decodable STBCs | | N. Lakshmi Prasad
; B. Sundar Rajan
; | | Date: |
12 Mar 2010 | | Abstract: | For a family/sequence of Space-Time Block Codes (STBCs)
$mathcal{C}_1,mathcal{C}_2,...$, with increasing number of transmit antennas
$N_i$, with rates $R_i$ complex symbols per channel use, $i=1,2,...$, the
emph{asymptotic normalized rate} is defined as $lim_{i o
infty}{frac{R_i}{N_i}}$. A family of STBCs is said to be
emph{asymptotically-good} if the asymptotic normalized rate is non-zero, i.e.,
when the rate scales as a non-zero fraction of the number of transmit antennas.
An STBC $mathcal{C}$ is said to be g-group ML-decodable if the $K$ symbols can
be partitioned into g groups, such that each group of symbols can be ML decoded
independently of others. In this paper, for $g geq 2$, we construct g-group
ML-decodable codes with rates greater than one complex symbol per channel use.
These codes are asymptotically good too. For $g>2$, these are the first
instances of g-group ML-decodable codes with rates greater than one presented
in the literature. We also construct multigroup ML-decodable codes with the
best known asymptotic normalized rates. Specifically, we propose delay-optimal
2-group ML-decodable codes for number of antennas $N>1$ with rate
$frac{N}{4}+frac{1}{N}$ for even $N$ and rate
$frac{N}{4}+frac{5}{4N}-frac{1}{2}$ for odd $N$. We construct delay optimal,
g-group ML-decodable codes, $g>2$, for number of antennas $N$ that are a
multiple of $g2^{lfloor frac{g-1}{2}
floor}$ with rate
$frac{N}{g2^{g-1}}+frac{g^2-g}{2N}$. We also construct non-delay-optimal
g-group ML-decodable codes, $ggeq2$, for number of antennas $N$ that are a
multiple of $2^{lfloor frac{g-1}{2}
floor}$, with delay $gN$ and rate
$frac{N}{2^{g-1}}+frac{g-1}{2N}$. | | Source: | arXiv, 1003.2606 | | Services: | Forum | Review | PDF | Favorites | |
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