English

A New Class of TAST Codes With A Simplified Tree Structure

Information Theory 2010-01-21 v2 Cryptography and Security math.IT Number Theory

Abstract

We consider in this paper the design of full diversity and high rate space-time codes with moderate decoding complexity for arbitrary number of transmit and receive antennas and arbitrary input alphabets. We focus our attention to codes from the threaded algebraic space-time (TAST) framework since the latter includes most known full diversity space-time codes. We propose a new construction of the component single-input single-output (SISO) encoders such that the equivalent code matrix has an upper triangular form. We accomplish this task by designing each SISO encoder to create an ISI-channel in each thread. This, in turn, greatly simplifies the QR-decomposition of the composite channel and code matrix, which is essential for optimal or near-optimal tree search algorithms, such as the sequential decoder.

Keywords

Cite

@article{arxiv.1001.3206,
  title  = {A New Class of TAST Codes With A Simplified Tree Structure},
  author = {Mohamed Oussama Damen and Hesham El Gamal and Ahmed A. Badr},
  journal= {arXiv preprint arXiv:1001.3206},
  year   = {2010}
}

Comments

7 pages, 3 figures, Conference Paper, accepted in WCC'09 (Workshop for Coding and Cryptography 2009)

R2 v1 2026-06-21T14:36:24.366Z