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A Generic Complementary Sequence Construction and Associated Encoder/Decoder Design
IEEE Transactions on Communications ( IF 8.3 ) Pub Date : 2021-08-09 , DOI: 10.1109/tcomm.2021.3103554
Alphan Sahin , Rui Yang

In this study, we propose a flexible construction of complementary sequences (CSs) that can contain zero-valued elements. To derive the construction, we use Boolean functions to represent a polynomial generated with a recursion. By applying this representation to recursive CS constructions, we show the impact of construction parameters such as sign, amplitude, phase rotation used in the recursion on the elements of the synthesized CS. As a result, we extend Davis and Jedwab’s CS construction by obtaining independent functions for the amplitude and phase of each element of the CS, and the seed sequence positions in the CS. The proposed construction shows that a set of distinct CSs compatible with non-contiguous resource allocations for orthogonal frequency-division multiplexing (OFDM) and various constellations can be synthesized systematically. It also leads to a low peak-to-mean-envelope-power ratio (PMEPR) multiple accessing scheme in the uplink and a low-complexity recursive decoder. We demonstrate the performance of the proposed encoder and decoder through comprehensive simulations.

中文翻译:

通用互补序列构建和相关编码器/解码器设计

在这项研究中,我们提出了一种可以包含零值元素的互补序列 (CS) 的灵活构造。为了导出构造,我们使用布尔函数来表示通过递归生成的多项式。通过将此表示应用于递归 CS 构造,我们展示了递归中使用的符号、幅度、相位旋转等构造参数对合成 CS 元素的影响。因此,我们通过获得 CS 的每个元素的幅度和相位的独立函数以及 CS 中的种子序列位置来扩展 Davis 和 Jedwab 的 CS 构造。所提出的构造表明,可以系统地合成一组与用于正交频分复用 (OFDM) 和各种星座的非连续资源分配兼容的不同 CS。它还导致上行链路中的低峰均值包络功率比 (PMEPR) 多址方案和低复杂度递归解码器。我们通过综合模拟证明了所提出的编码器和解码器的性能。
更新日期:2021-08-09
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