作者：宿常鹏1, 王雪梅1, 许哲1, 李骏霄2, 邱洪彬1
作者单位：1. 火箭军工程大学, 陕西 西安 710025;
2. 火箭军士官学校, 山东 青州 262500
关键词：峰值因子;自适应遗传算法;相位编码;功率调制
摘要：
为有效解决频率特性测试中多频正弦激励信号的峰值因子最小化问题，基于Schroeder相位编码准则，针对均匀功率谱信号，从相位修正的角度出发，提出一种基于自适应遗传算法的相位修正方法；针对非均匀功率谱信号，从功率调制的角度出发，采用代数方法推导出一种正弦调制的调制通式。通过Matlab进行数值仿真，与采用Schroeder相位编码方法计算的结果进行比较，实验表明：两种方法均能使信号的峰值因子平均降低0.2，且使信号的峰值因子保持在2以内，更适合作为频率特性测试的激励信号，其中添加修正项的均匀功率谱信号更适合大频带测试，而应用正弦调制的非均匀功率谱信号更适合小频带测试。
Research on crest factor minimization method for multi-frequency sinusoidal signals
SU Changpeng1, WANG Xuemei1, XU Zhe1, LI Junxiao2, QIU Hongbin1
1. Rocket Force University of Engineering, Xi'an 710025, China;
2. Rocket Force Sergeant School, Qingzhou 262500, China
Abstract: In order to effectively solve the problem of minimizing crest factor of multi-sine excitation signal in the frequency characteristic test, according to the Schroeder phase coding criterion, a phase correction method based on adaptive genetic algorithm is proposed for the uniform power spectrum signal. For non-uniform power spectrum signals, from the perspective of power modulation, an algebraic method is used to derive a sine modulation general formula. The numerical simulation is performed by Matlab and compared with the results calculated by using Schroeder phase coding method. The results show that both methods can reduce the crest factor of the signal by an average of 0.2, and keep the crest factor of the signal within 2, which is more suitable as the excitation signal of frequency characteristic test, in which the uniform power spectrum signal with the correction term is more suitable for the large-band test, and the non-uniform power spectrum signal with the sine modulation is more suitable for the small-band test.
Keywords: crest factor;adaptive genetic algorithm;phase coding;power modulation
2019, 45(4):16-20,57 收稿日期: 2018-06-25;收到修改稿日期: 2018-08-19
基金项目: 国家自然科学基金项目（61573365，61174030）
作者简介: 宿常鹏(1994-),男,山东济南市人,硕士研究生,专业方向为控制系统动态测试技术研究
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