基于全相位FFT和相位差分法的频率计算

吕旌阳; 彭思语; 王瑞; 刘佳

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Frequency Calculation Based on All Phase FFT and Phase Difference Method

首发时间：2024-03-04

Lv Jingyang ^{1
2
3}
Lv Jingyang (1969-), male, Associate professor, wireless communication signal processing theory and engineering implementation
Peng Siyu ^{1
2
3}
Peng Siyu (1999-), female, master student, wireless signal processing
Wang Rui Liu Jia

1、School of Information and Communication Engineering, Beijing University of Posts and Telecommunications, Beijing, 100876
2、Signal and Communication Research Institute of China Academy of Railway Sciences Group Co., LTD
3、China Academy of Railway Sciences Corporation Limited

Abstract：Frequency analysis plays a crucial role in signal processing. The signals received by the receiver often contain multiple frequency components, corresponding to different information or states. Through frequency analysis, the system can identify and extract features from different components. The phase difference method has good frequency measurement accuracy and instantaneity, but it is easy to be affected by noise, and obtaining phase value is the main step to produce errors. All phase FFT is an improved algorithm of the traditional FFT spectrum analysis method, which can effectively suppress the spectrum leakage effect. By searching the spectral peak and obtaining the inverse tangent value of the complex result at the peak, high-precision phase calculation results can be obtained. In this paper, an all phase FFT difference method is proposed to measure frequency, which combines all phase FFT with phase difference method. The simulation results show that the method has the advantages of high precision, good instantaneously performance and strong noise resistance. This comprehensive frequency measurement scheme is expected to better meet the needs of accurate analysis of signal frequency in practical applications, and provide strong support for technical research and engineering applications in related fields.

keywords： Signal and information processing all phase FFT phase difference method frequency calculation

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基于全相位FFT和相位差分法的频率计算

吕旌阳 ¹
Lv Jingyang (1969-), male, Associate professor, wireless communication signal processing theory and engineering implementation
彭思语 ¹
Peng Siyu (1999-), female, master student, wireless signal processing
王瑞 ² 刘佳 ³

1、北京邮电大学信息与通信工程学院，北京，100876
2、中国铁道科学研究院集团有限公司通信信号研究所
3、中国铁道科学研究院集团有限公司

摘要：频率分析在信号处理中处于至关重要的位置，接收端收到的信号常包含多个频率成分，对应着不同的信息或状态，通过频率分析，系统能够对不同成分进行辨识和特征提取。相位差分法具有良好的测频精度和瞬时性，但易受噪声影响，且获取相位值是这种方法产生误差的主要步骤；全相位FFT是传统FFT频谱分析方法的一种改进算法，能有效抑制频谱泄漏效应，通过搜索谱峰并求取峰值处复数结果的反正切值，可得到高精度的相位计算结果。本文将全相位FFT与相位差分法结合，提出了一种全相位FFT差分法测频方案，仿真研究结果表明该方法具有测频精度高、瞬时性较好且抗噪性强的优点。此综合测频方案有望在实际应用中更好地满足对信号频率进行准确分析的需求，为相关领域的技术研究和工程应用提供有力支持。

关键词：信号和信息处理全相位FFT 相位差分法频率计算

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Lv Jingyang,Peng Siyu,Wang Rui,et al. Frequency Calculation Based on All Phase FFT and Phase Difference Method[EB/OL]. Beijing:Sciencepaper Online[2024-03-04]. https://www.paper.edu.cn/releasepaper/content/202403-30.

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论文编号	202403-30
论文题目	基于全相位FFT和相位差分法的频率计算
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