In this study, we propose partitioned complementary sequences (CSs) where the gaps between the clusters encode information bits to achieve low peak-to-average-power ratio (PAPR) orthogonal frequency division multiplexing (OFDM) symbols. We show that the partitioning rule without losing the feature of being a CS coincides with the non-squashing partitions of a positive integer and leads to a symmetric separation of clusters. We analytically derive the number of partitioned CSs for given bandwidth and a minimum distance constraint and obtain the corresponding recursive methods for enumerating the values of separations. We show that partitioning can increase the spectral efficiency (SE) without changing the alphabet of the nonzero elements of the CS, i.e., standard CSs relying on Reed-Muller (RM) code. We also develop an encoder for partitioned CSs and a maximum-likelihood-based recursive decoder for additive white Gaussian noise (AWGN) and fading channels. Our results indicate that the partitioned CSs under a minimum distance constraint can perform similar to the standard CSs in terms of average block error rate (BLER) and provide a higher SE at the expense of a limited signal-to-noise ratio (SNR) loss.
翻译:在这次研究中,我们提出了分解互补序列(CS),在这些序列中,组群对信息位位的差差进行编码,以达到低峰对平均功率比率(PAPR)或直角频率分数的多氧化符号(OFDM)实现低峰对平均比率(OFDM),我们表明,不失去 CS 特征的分解规则与正整数(RM)非隔断的特性相吻合,并导致集群的对称分离。我们分析得出给定带带宽和最小距离限制的分解 CS 分解 CS 数量,并获得相应的计算分离值的循环方法。我们显示,分解光谱率可以提高光谱效率,而不会改变 CS的非零元素的字母,即依赖Reed-Muller(RM) 代码的标准 CS。我们还开发了一个分解 CS 和以最大类似线基的递增分解解码解码器,用于添加白高调噪音(AWGNUS) 和淡化频道。我们的结果表明,CS 在CS 最低距离标准中,CS 的CS 的CS 平均差差差差差差差价为最低成本标准,可以提供一个类似标准。