Skip to main content

Full-Rate Full-Diversity Linear Quasi-Orthogonal Space-Time Codes for Any Number of Transmit Antennas

Abstract

We construct a class of linear quasi-orthogonal space-time block codes that achieve full diversity over quasistatic fading channels for any transmit antennas. These codes achieve a normalized rate of one symbol per channel use. Constellation rotation is shown to be necessary for the full-diversity feature of these codes. When the number of transmit antennas is a power of 2, these codes are also delay "optimal." The quasi-orthogonal property of the code makes one half of the symbols orthogonal to the other half, and we show that this allows each half to be decoded separately without any loss of performance. We give an iterative construction of these codes with a practical decoding algorithm. Numerical simulations are presented to evaluate the performance of these codes in terms of capacity as well as probability of error versus SNR curves. For some special cases, we compute the pairwise probability of error averaged over all the channel states as a single integral that shows the diversity and coding gain more clearly.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Naresh Sharma.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Sharma, N., Papadias, C.B. Full-Rate Full-Diversity Linear Quasi-Orthogonal Space-Time Codes for Any Number of Transmit Antennas. EURASIP J. Adv. Signal Process. 2004, 712052 (2004). https://doi.org/10.1155/S1110865704402339

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1155/S1110865704402339

Keywords and phrases

  • multiple antennas
  • space-time codes
  • diversity
  • orthogonal designs
  • wireless communications