3 research outputs found
An Adaptive Conditional Zero-Forcing Decoder with Full-diversity, Least Complexity and Essentially-ML Performance for STBCs
A low complexity, essentially-ML decoding technique for the Golden code and
the 3 antenna Perfect code was introduced by Sirianunpiboon, Howard and
Calderbank. Though no theoretical analysis of the decoder was given, the
simulations showed that this decoding technique has almost maximum-likelihood
(ML) performance. Inspired by this technique, in this paper we introduce two
new low complexity decoders for Space-Time Block Codes (STBCs) - the Adaptive
Conditional Zero-Forcing (ACZF) decoder and the ACZF decoder with successive
interference cancellation (ACZF-SIC), which include as a special case the
decoding technique of Sirianunpiboon et al. We show that both ACZF and ACZF-SIC
decoders are capable of achieving full-diversity, and we give sufficient
conditions for an STBC to give full-diversity with these decoders. We then show
that the Golden code, the 3 and 4 antenna Perfect codes, the 3 antenna Threaded
Algebraic Space-Time code and the 4 antenna rate 2 code of Srinath and Rajan
are all full-diversity ACZF/ACZF-SIC decodable with complexity strictly less
than that of their ML decoders. Simulations show that the proposed decoding
method performs identical to ML decoding for all these five codes. These STBCs
along with the proposed decoding algorithm outperform all known codes in terms
of decoding complexity and error performance for 2,3 and 4 transmit antennas.
We further provide a lower bound on the complexity of full-diversity
ACZF/ACZF-SIC decoding. All the five codes listed above achieve this lower
bound and hence are optimal in terms of minimizing the ACZF/ACZF-SIC decoding
complexity. Both ACZF and ACZF-SIC decoders are amenable to sphere decoding
implementation.Comment: 11 pages, 4 figures. Corrected a minor typographical erro
Energy-Efficient Full Diversity Collaborative Unitary Space-Time Block Code Design via Unique Factorization of Signals
In this paper, a novel concept called a \textit{uniquely factorable
constellation pair} (UFCP) is proposed for the systematic design of a
noncoherent full diversity collaborative unitary space-time block code by
normalizing two Alamouti codes for a wireless communication system having two
transmitter antennas and a single receiver antenna. It is proved that such a
unitary UFCP code assures the unique identification of both channel
coefficients and transmitted signals in a noise-free case as well as full
diversity for the noncoherent maximum likelihood (ML) receiver in a noise case.
To further improve error performance, an optimal unitary UFCP code is designed
by appropriately and uniquely factorizing a pair of energy-efficient cross
quadrature amplitude modulation (QAM) constellations to maximize the coding
gain subject to a transmission bit rate constraint. After a deep investigation
of the fractional coding gain function, a technical approach developed in this
paper to maximizing the coding gain is to carefully design an energy scale to
compress the first three largest energy points in the corner of the QAM
constellations in the denominator of the objective as well as carefully design
a constellation triple forming two UFCPs, with one collaborating with the other
two so as to make the accumulated minimum Euclidean distance along the two
transmitter antennas in the numerator of the objective as large as possible and
at the same time, to avoid as many corner points of the QAM constellations with
the largest energy as possible to achieve the minimum of the numerator. In
other words, the optimal coding gain is attained by intelligent constellations
collaboration and efficient energy compression