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Embedded rank distance codes for ISI channels

Publication ,  Journal Article
Dusad, S; Diggavi, SN; Calderbank, AR
Published in: IEEE Transactions on Information Theory
November 10, 2008
Published version (DOI)

Designs for transmit alphabet constrained space-time codes naturally lead to questions about the design of rank distance codes. Recently, diversity embedded multilevel space-time codes for flat-fading channels have been designed from sets of binary matrices with rank distance guarantees over the binary field by mapping them onto quadrature amplitude modulation (QAM) and phase-shift keying (PSK) constellations. In this paper, we demonstrate that diversity embedded space-time codes for fading intersymbol interference (ISI) channels can be designed with provable rank distance guarantees. As a corollary, we obtain an asymptotic characterization of the fixed transmit alphabet rate-diversity tradeoff for multiple antenna fading ISI channels. The key idea is to construct and analyze properties of binary matrices with a particular structure (Toeplitz structure) induced by ISI channels. © 2008 IEEE.

Duke Scholars

Robert Calderbank
Author Robert Calderbank Computer Science

Published In

IEEE Transactions on Information Theory

DOI

10.1109/TIT.2008.929960

ISSN

0018-9448

Publication Date

November 10, 2008

Volume

54

Issue

11

Start / End Page

4866 / 4886

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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Dusad, S., Diggavi, S. N., & Calderbank, A. R. (2008). Embedded rank distance codes for ISI channels. IEEE Transactions on Information Theory, 54(11), 4866–4886. https://doi.org/10.1109/TIT.2008.929960
Dusad, S., S. N. Diggavi, and A. R. Calderbank. “Embedded rank distance codes for ISI channels.” IEEE Transactions on Information Theory 54, no. 11 (November 10, 2008): 4866–86. https://doi.org/10.1109/TIT.2008.929960.
Dusad S, Diggavi SN, Calderbank AR. Embedded rank distance codes for ISI channels. IEEE Transactions on Information Theory. 2008 Nov 10;54(11):4866–86.
Dusad, S., et al. “Embedded rank distance codes for ISI channels.” IEEE Transactions on Information Theory, vol. 54, no. 11, Nov. 2008, pp. 4866–86. Scopus, doi:10.1109/TIT.2008.929960.
Dusad S, Diggavi SN, Calderbank AR. Embedded rank distance codes for ISI channels. IEEE Transactions on Information Theory. 2008 Nov 10;54(11):4866–4886.

Published In

IEEE Transactions on Information Theory

DOI

10.1109/TIT.2008.929960

ISSN

0018-9448

Publication Date

November 10, 2008

Volume

54

Issue

11

Start / End Page

4866 / 4886

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