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COMMUNICATIONS IN INFORMATION AND SYSTEMS c 2005 International Press Vol. 5, No. 1, pp. 1-26, 2005 001
 

Summary: COMMUNICATIONS IN INFORMATION AND SYSTEMS c 2005 International Press
Vol. 5, No. 1, pp. 1-26, 2005 001
CONSTRUCTION AND ANALYSIS OF A NEW QUATERNIONIC
SPACE-TIME CODE FOR 4 TRANSMIT ANTENNAS
ROBERT CALDERBANK, SUSHANTA DAS, N. AL-DHAHIR, AND S. DIGGAVI§
Dedication
We dedicate this paper to Professor Thomas Kailath on the occasion of his 70th
birthday. We have been greatly influenced by his way of attacking engineering prob-
lems by exploiting their inherent mathematical structure. This paper is an example of
this research paradigm, where nineteenth century mathematics is used to significantly
improve the performance of 21st
century wireless infrastructure.
Abstract. We present a novel full-rate full-diversity orthogonal space-time block code for QPSK
modulation and 4 transmit antennas based on quaternionic algebra. The code does not result in
constellation expansion unlike other full-rate full-diversity codes in the literature. The quaternionic
structure of the code is exploited to reduce the complexity of maximum likelihood (ML) coherent
decoding from a size-256 search to a size-16 search. Furthermore, we show how to modify this low-
complexity coherent ML decoding rule to derive a non-coherent differential ML decoding rule. Due
to the orthogonality of the code, ML differential decoding results in the minimum SNR loss of 3 dB
from coherent ML decoding. Finally, extensive simulation results in a WiMAX 802.16 broadband

  

Source: Al-Dhahir, Naofal - Department of Electrical Engineering, University of Texas at Dallas

 

Collections: Engineering