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首页> 外文期刊>IEEE Transactions on Information Theory >Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes
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Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes

机译：OFDM，Golay互补序列和Reed-Muller码中的峰均功率控制

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摘要

We present a range of coding schemes for OFDM transmission using binary, quaternary, octary, and higher order modulation that give high code rates for moderate numbers of carriers. These schemes have tightly bounded peak-to-mean envelope power ratio (PMEPR) and simultaneously have good error correction capability. The key theoretical result is a previously unrecognized connection between Golay complementary sequences and second-order Reed-Muller codes over alphabets Z/sub 2/h. We obtain additional flexibility in trading off code rate, PMEPR, and error correction capability by partitioning the second-order Reed-Muller code into cosets such that codewords with large values of PMEPR are isolated. For all the proposed schemes we show that encoding is straightforward and give an efficient decoding algorithm involving multiple fast Hadamard transforms. Since the coding schemes are all based on the same formal generator matrix we can deal adaptively with varying channel constraints and evolving system requirements.
机译：我们提出了一系列使用二进制，四进制，八进制和高阶调制的OFDM传输编码方案，这些调制方案为中等数量的载波提供了高编码率。这些方案具有紧密限制的峰均包络功率比（PMEPR），同时具有良好的纠错能力。关键的理论结果是先前在Golay互补序列和字母Z / sub 2 / h上的二阶Reed-Muller码之间无法识别的联系。通过将二阶Reed-Muller码划分为多个陪集，从而隔离具有大PMEPR值的码字，我们在权衡码率，PMEPR和纠错能力方面获得了额外的灵活性。对于所有提出的方案，我们表明编码很简单，并且给出了涉及多个快速Hadamard变换的有效解码算法。由于编码方案均基于相同的形式发生器矩阵，因此我们可以适应性地处理变化的信道约束和不断发展的系统要求。

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