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The Minimum Decoding Delay of Maximum Rate Complex Orthogonal Space–Time Block Codes
2007
  • Sarah Spence Adams, Franklin W. Olin College of Engineering
  • Nathaniel Karst, Franklin W. Olin College of Engineering
  • Jonathan Pollack, Franklin W. Olin College of Engineering
Document Type
Article
Publication Date
8-1-2007
Abstract
The growing demand for efficient wireless transmissions over fading channels motivated the development ofspace-time block codes. Space-time block codes built from generalized complex orthogonal designs are particularly attractive because the orthogonality permits a simple decoupled maximum-likelihood decodingalgorithm while achieving full transmit diversity. The two main research problems for these complex orthogonalspace-time block codes (COSTBCs) have been to determine for any number of antennas the maximum rate andthe minimum decoding delay for a maximum rate code. The maximum rate for COSTBCs was determined by Liang in 2003. This paper addresses the second fundamental problem by providing a tight lower bound on the decodingdelay for maximum rate codes. It is shown that for a maximum rate COSTBC for 2m - 1 or 2m antennas, a tight lower bound on decoding delay is r = (m-1 2m) . This lower bound on decoding delay is achievable when thenumber of antennas is congruent to 0, 1, or 3 modulo 4. This paper also derives a tight lower bound on thenumber of variables required to construct a maximum rate COSTBC for any given number of antennas. Furthermore, it is shown that if a maximum rate COSTBC has a decoding delay of r where r < r les 2r, then r=2r. This is used to provide evidence that when the number of antennas is congruent to 2 modulo 4, the best achievable decoding delay is 2(m-1 2m_).
Comments

© 2007 IEEE. This article was published in IEEE Transactions on Information Theory, vol. 53, iss. 8, pp. 2677-2684 and may be found here.

Citation Information
Sarah Spence Adams, Nathaniel Karst and Jonathan Pollack. "The Minimum Decoding Delay of Maximum Rate Complex Orthogonal Space–Time Block Codes" (2007)
Available at: http://works.bepress.com/sarah_spence_adams/9/