Tight Upper Bound on the Bit Error Rate of Rotation Code

Hyun-Seok RYU  Jun-Seok LEE  Chung-Gu KANG  

IEICE TRANSACTIONS on Communications   Vol.E94-B    No.5    pp.1438-1441
Publication Date: 2011/05/01
Online ISSN: 1745-1345
DOI: 10.1587/transcom.E94.B.1438
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Transmission Systems and Transmission Equipment for Communications
rotation code,  BER analysis,  

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We provide a BER analysis of the well-known rotation code, which has been applied to various transmission schemes, such as coordinate-interleaved design (CID) for space-time block codes and trans-modulation or constellation rearrangement for a cooperative relay system. An upper bound on the BER of the rotation code under a fading channel is derived. It turns out to be much tighter than the existing one, which relies on the Chernoff bound. More specifically, the proposed bound is virtually identical to simulation result when Eb/No is larger than 4 dB.