A New Full-Rate Full-Diversity Space-Time Block Code With Nonvanishing Determinants and Simplified Maximum-Likelihood Decoding

• Published in: IEEE transactions on signal processing Vol. 56; no. 6; pp. 2461 - 2469
• Main Authors: Paredes, J.M., Gershman, A.B., Gharavi-Alkhansari, M.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.06.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Block codes; Coding, codes; Computational complexity; Criteria; Decoding; Design optimization; Determinants; Dispersions; Exact sciences and technology; Fading; Full-rate full-diversity codes; Gain; Information, signal and communications theory; Lattices; Maximum likelihood decoding; MIMO; Multiplexing; nonvanishing determinant property; optimal diversity-multiplexing gain tradeoff; Optimization; Receiving antennas; Signal and communications theory; Space time codes; space-time block codes; sphere decoder; Telecommunications and information theory; Transmitting antennas; Performance evaluation; Multiplexing; Full-rate full-diversity codes; Block code; Space-time codes; optimal diversity-multiplexing gain tradeoff; Computational complexity; Optimization; Maximum likelihood decoding; sphere decoder; Optimal control; space-time block codes; nonvanishing determinant property
• ISSN: 1053-587X; 1941-0476
• DOI: 10.1109/TSP.2007.916135

A new 2times2 full-rate full-diversity linear dispersion space-time block code (STBC) is designed by augmenting the generator of the lattice of the Alamouti's orthogonal STBC and optimizing it according to the criterion of the maximal worst codeword difference determinant. The proposed STBC is proved to satisfy the nonvanishing determinant property and, therefore, to achieve the optimal diversity-multiplexing gain (DMG) tradeoff, while offering a reduced computational complexity of maximum- likelihood (ML) decoding as compared to other existing full-rate STBCs. The performance of our new code is shown to be comparable to that of the best full-rate STBCs known so far.