相移二元码的峰均包络功率比
On the Peak-to-Mean Envelope Power Ratio of Phase-Shifted Binary Codes
摘要：
正交频分复用（OFDM）系统中采用的码的峰均包络功率比（PMEPR）可以通过置换其坐标并通过将每个坐标旋转固定相移来减小。受以前一些次优方法设计相移的启发，本文考虑了以下问题。对于给定的二进制码，当相移取自2^h-PSK星座时，可以实现多少PMEPR降低？建立了一个与二进制码覆盖半径有关的可达PMEPR的下界。一般来说，PMEPR的可达区域随着二进制码覆盖半径的减小而缩小。然后将该界应用于一些很好理解的码，包括非冗余BPSK信令、BCH码及其子码、Reed-Muller码和卷积码。它表明，大多数（大概不是最佳的）相移设计从文献达到或接近我们的界限。
英文摘要：
The peak-to-mean envelope power ratio (PMEPR) of a code employed in orthogonal frequency-division multiplexing (OFDM) systems can be reduced by permuting its coordinates and by rotating each coordinate by a fixed phase shift. Motivated by some previous designs of phase shifts using suboptimal methods, the following question is considered in this paper. For a given binary code, how much PMEPR reduction can be achieved when the phase shifts are taken from a 2^h-ary phase-shift keying (2^h-PSK) constellation? A lower bound on the achievable PMEPR is established, which is related to the covering radius of the binary code. Generally speaking, the achievable region of the PMEPR shrinks as the covering radius of the binary code decreases. The bound is then applied to some well understood codes, including nonredundant BPSK signaling, BCH codes and their duals, Reed-Muller codes, and convolutional codes. It is demonstrated that most (presumably not optimal) phase-shift designs from the literature attain or approach our bound.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
