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        Nonlinear Product Codes and Their Low Complexity Iterative Decoding

        Haesik Kim,Garik Markarian,Valdemar C. da Rocha, Jr 한국전자통신연구원 2010 ETRI Journal Vol.32 No.4

        This paper proposes encoding and decoding for nonlinear product codes and investigates the performance of nonlinear product codes. The proposed nonlinear product codes are constructed as N-dimensional product codes where the constituent codes are nonlinear binary codes derived from the linear codes over higher order alphabets, for example, Preparata or Kerdock codes. The performance and the complexity of the proposed construction are evaluated using the well-known nonlinear Nordstrom-Robinson code, which is presented in the generalized array code format with a low complexity trellis. The proposed construction shows the additional coding gain, reduced error floor, and lower implementation complexity. The (64, 24, 12) nonlinear binary product code has an effective gain of about 2.5 dB and 1 dB gain at a BER of 10<sup>-6</sup> when compared to the (64, 15, 16) linear product code and the (64, 24, 10) linear product code, respectively. The (256, 64, 36) nonlinear binary product code composed of two Nordstrom-Robinson codes has an effective gain of about 0.7 dB at a BER of 10-5 when compared to the (256, 64, 25) linear product code composed of two (16, 8, 5) quasi-cyclic codes.

      • A Complexity Reduction Scheme for SLM-based OFDM Communication System

        Heung-Gyoon Ryu,Garik Markarian 대한전자공학회 2007 ITC-CSCC :International Technical Conference on Ci Vol.2007 No.7

        SLM (selective mapping) method is one of the efficient techniques to reduce PAPR in OFDM(orthogonal frequency division multiplexing) system. In this paper, we propose a new SLM method which rotates the phase of input data after IFFT by using Walsh Hadamard code to solve this problem. From the simulation results, we can find that the proposed SLM method has 0.5 dB lower PAPR reduction effect than common SLM in same number of copy branch U. However, it can reduce a computational burden more than about 50%.

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