Blind recognition of BCH codes in faster‐than‐Nyquist signalling system. Issue 9 (11th April 2016)

• Record Type: Journal Article
• Authors: Wu, Gang; Zhang, Bangning; Guo, Daoxing; Liang, Xiaohu
• Is Part Of: Electronics letters. Volume 52:Issue 9(2016)
• Page Start: 716
• Page End: 718
• Publication Date: 2016-04-11
• Subjects: blind source separation -- telecommunication signalling -- signal denoising -- Galois fields -- Fourier transforms -- cyclic codes -- error correction codes -- polynomials -- probability; blind BCH code recognition method -- Bose‐Chaudhuri‐Hocquenghem codes -- faster‐than‐Nyquist signalling system -- FTN signalling system -- Galois field Fourier transform -- code polynomial -- signal‐to‐noise ratio estimation -- coloured noise -- correct recognition probability maximisation -- generator polynomial -- decision criterion; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2015.4008
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : Proposed is a blind recognition method for Bose–Chaudhuri–Hocquenghem (BCH) codes in the faster‐than‐Nyquist (FTN) signalling system which is based on the Galois field Fourier transform of the code polynomial. Considering the signal‐to‐noise ratio estimation in coloured noise, the proposed method can maximise the correct recognition probability of the roots of the generator polynomial by an appropriate decision criterion. Moreover, an optimal threshold of the decision criterion is deduced. Simulation results demonstrate that the proposed method can recognise the BCH codes efficiently in the FTN signalling system.