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Existence and construction of noncoherent unitary space-time codes

Publication ,  Journal Article
Tarokh, V; Kim, IM
Published in: IEEE Transactions on Information Theory
December 1, 2002

We consider transmission using N transmit and reception using M receive antennas in a wireless environment assuming that neither the transmitter nor the receiver knows the channel coefficients. For the scenario that the transmission employs noncoherent T × N unitary space-time codes and for a block-fading channel model where the channel is static during T channel uses and varies from T channel uses to the other, we establish the bound r ≤ min(T - N, N) on the diversity advantage rM provided by the code. In order to show that the requirement r ≤ min(T - N, N) cannot he relaxed, for any given R, N, T, and r ≤ min(T - N, N), we then construct unitary T × N space-time codes of rate R that guarantee diversity advantage rM. Two constructions are given that are also amenable to simple encoding and noncoherent maximum-likelihood (ML) decoding algorithms.

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Published In

IEEE Transactions on Information Theory

DOI

ISSN

0018-9448

Publication Date

December 1, 2002

Volume

48

Issue

12

Start / End Page

3112 / 3117

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Tarokh, V., & Kim, I. M. (2002). Existence and construction of noncoherent unitary space-time codes. IEEE Transactions on Information Theory, 48(12), 3112–3117. https://doi.org/10.1109/TIT.2002.805075
Tarokh, V., and I. M. Kim. “Existence and construction of noncoherent unitary space-time codes.” IEEE Transactions on Information Theory 48, no. 12 (December 1, 2002): 3112–17. https://doi.org/10.1109/TIT.2002.805075.
Tarokh V, Kim IM. Existence and construction of noncoherent unitary space-time codes. IEEE Transactions on Information Theory. 2002 Dec 1;48(12):3112–7.
Tarokh, V., and I. M. Kim. “Existence and construction of noncoherent unitary space-time codes.” IEEE Transactions on Information Theory, vol. 48, no. 12, Dec. 2002, pp. 3112–17. Scopus, doi:10.1109/TIT.2002.805075.
Tarokh V, Kim IM. Existence and construction of noncoherent unitary space-time codes. IEEE Transactions on Information Theory. 2002 Dec 1;48(12):3112–3117.

Published In

IEEE Transactions on Information Theory

DOI

ISSN

0018-9448

Publication Date

December 1, 2002

Volume

48

Issue

12

Start / End Page

3112 / 3117

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing