宽带非平稳信号的瞬时频率测量方法

doi:10.3969/j.issn.1001-2400.2011.06.009

J4 ›› 2011, Vol. 38 ›› Issue (6): 55-61.doi: 10.3969/j.issn.1001-2400.2011.06.009

宽带非平稳信号的瞬时频率测量方法

王海¹;范文晶²;郑胜峰³

(1. 西安电子科技大学机电工程学院，陕西西安 710071；
2. 上海航天局第八设计部，上海 200233;
3. 浙江工贸职业技术学院，浙江温州 325003)

收稿日期:2010-10-18 出版日期:2011-12-20 发布日期:2011-11-29
通讯作者: 王海
作者简介:王海(1976-)，男，副教授，博士，E-mail: wanghai@mail.xidian.edu.cn
基金资助:
国家自然科学基金资助项目(10703004);中央高校基本科研业务费专项资金资助项目(JY10000904004)

Instantaneous frequency measurement method for the broadband non-stationary signal

WANG Hai¹;FAN Wenjing²;ZHANG Shengfeng³

(1. School of Mechano-electronic Engineering, Xidian Univ., Xi'an 710071， China;
2. The 8th Institute of Shanghai Academy of Spaceflight Tech., Shanghai 200233， China;
3. Zhejiang Vocational and Technical College, Wenzhou 325003， China)

Received:2010-10-18 Online:2011-12-20 Published:2011-11-29
Contact: WANG Hai

摘要/Abstract

摘要：

针对宽带非平稳信号，提出一种瞬时频率测量方法．利用加限自适应滤波器将信号分解为多个渐进单频信号，根据其解析信号的相位函数求出其瞬时频率；综合所有分量的时频关系实现对宽带非平稳信号瞬时频率的准确测量．仿真实验和误差分析结果表明，该方法克服了Fourier分析、Wavelet变换和Hilbert-Huang算法求解宽带非平稳信号瞬时频率的困难，在整个分析频段都能实现较高的频率测量分辨率，对信噪比在0dB以上的信号具有优于0.2MHz的测量误差．对8μs长度信号，该方法除了有25.816μs初始运算延时外，对连续数据处理具有实时性，能够满足宽带非平稳信号频率的瞬时测量要求．

关键词: 宽带非平稳信号, 瞬时频率测量, 自适应滤波, Hilbert变换, 误差分析

Abstract:

An instantaneous frequency measurement method for broadband non-stationary signal is presented. The signal can be decomposed into progressive single-frequency signals by added qualification adaptive filters. According to their phase functions of analytical signals, the instantaneous frequencies are obtained. By integration of time-frequency relationship of all components, the instantaneous frequencies of broadband non-stationary signal are accurately measured. Simulation and error analysis prove that this method overcomes the difficulties in instantaneous frequency measuring of Fourier analysis, Wavelet transformation and Hilbert-Huang algorithm for the broadband non-stationary signal. In the whole analyzed frequency band it can achieve a higher frequency measurement resolution and has a measurement error of less than 0.2MHz for the signals with an SNR of above 0dB . For 8μs long signal, this method has a better real-time processing capability, but an initial operational delay of 25.816μs. Therefore, this method can meet the requirements of instantaneous frequency measurement for the broadband non-stationary signal.

Key words: broadband non-stationary signal, instantaneous frequency measurement, adaptive filtering, hilbert transformation, error analysis

中图分类号:

TN91

王海;范文晶;郑胜峰. 宽带非平稳信号的瞬时频率测量方法[J]. J4, 2011, 38(6): 55-61.

WANG Hai;FAN Wenjing;ZHANG Shengfeng. Instantaneous frequency measurement method for the broadband non-stationary signal[J]. J4, 2011, 38(6): 55-61.

参考文献

［1］邹红星, 周小波, 李衍达. 时频分析:回溯与前瞻［J］. 电子学报, 2000, 28(9): 78-84.
Zhou Hongxing, Zhou Xiaobo, Li Yanda. Which Time-frequency Analysis——a Survey［J］. Acta Electronica Sinica, 2000, 28(9): 78-84.
［2］王晋国, 田丰, 廖祖文, 等. 时频域内地震资料瞬时属性提取方法研究［J］. 西安电子科技大学学报, 2005, 32(5): 802-806.
Wang Jinguo, Tian Feng, Liao Zuwen, et al. On the Methods of Seismic Data Instantaneous Attributes Estimate in Time-Frequency Domain［J］. Journal of Xidian University, 2005, 32(5): 802-806.
［3］张海瑛, 袁超伟. 一种新的相位差精确测频法研究［J］. 西安电子科技大学学报, 2007, 34(6): 969-973.
Zhang Haiying, Yuan Chaowei. A New and Accurate Frequency Estimation Approach Based on the Phase Difference［J］. Journal of Xidian University, 2007, 34(6): 969-973.
［4］王红萍. 宽带非平稳信号时频分析方法性能研究［D］. 南京：南京航空航天大学, 2009.
［5］刘林, 郝保国. 时频分析理论和应用［J］. 计算机自动测量与控制, 2001, 9(4): 44-47.
Liu Lin, Hao Baoguo. Theory and Application of Time-Frequency Analysis［J］. Computer Automated Measurement ＆ Control, 2001, 9(4): 44-47.
［6］陈雨红, 杨长春, 曹齐放, 等. 几种时频分析方法比较［J］. 地理学进展, 2007, 4(4): 312-316.
Chen Yuhong, Yang Changchun, Cao Qifang, et al. The Comparison of Some Time-Frequency Analysis Methods［J］. Progress in Geophysics, 2007, 4(4): 312-316.
［7］孙云莲, 刘敦敏. 时频分析与Wavelet变换及其应用［J］. 武汉大学学报(工学版), 2003, 36(2): 103-106.
Sun Yunlian, Liu Dunmin. Time-Frequency Analysis and Wavelet Transform and Their Applications［J］. Engineering Journal of Wuhan University, 2003, 36(2): 103-106.
［8］武安绪, 吴培稚, 兰从欣, 等. Hilbert-Huang算法与地震信号的时频分析［J］. 中国地震, 2005, 21(2): 207-215.
Wu Anxu, Wu Peizhi, Lan Congxin, et al. Hilbert-Huang Transform and Time-Frequency Analysis of Seismic Signal［J］. Earthquake Research In China, 2005, 21(2): 207-215.
［9］王宏禹, 邱天爽, 陈喆. 非平稳随机信号分析与处理［M］. 北京: 国防工业出版社, 2008.
Wang Hongyu, Qiu Tianshuang, Chen Zhe. Non-stationary Random Signal Analysis and Processing［M］. Beijing: National Defence Industry Press, 2008.
［10］ Gruchalla H, Czyzewski M, Slowik A. The Performance of the IFM Receiver in a Dense Signal Environment ［C］//Proceeding of the 18th International Conference on Microwaves, Radar and Wireless Communications. Vilnius: IEEE, 2010: 1-4.
［11］ Helton J, Chen C H, Lin D M, et al. FPGA-Based 1.2 GHz Bandwidth Digital Instantaneous Frequency Measurement ［C］//Proceeding of the 9th International Symposium on Quality Electronic Design. San Jose: IEEE, 2008: 568-571.
［12］杨世锡, 胡劲松, 吴昭同, 等. 旋转机械振动信号基于EMD 的希尔伯特变换和Wavelet变换时频分析比较［J］. 中国电机工程学报, 2003, 23(6):102-107.
Yang Shixi, Hu Jinsong, Wu Zhaotong, et al. The Comparison of Vibration Signals' Time-Frequency Analysis Between Emd-based HT and WT Method In Rotating Machinery［J］. Proceedings of CSEE, 2003, 23(6): 102-107.
［13］张贤达. 现代信号处理［M］. 北京: 清华大学出版社, 2002.
［14］ Haykin S. Adaptive Filter Theory ［M］. 北京: 电子工业出版社, 2002.
［15］ Naresh R S, Parhi K K. Relaxed Look-Ahead Pipelined LMS Adaptive Filters and Their Application to ADPCM Coder［J］. IEEE Trans on Circuits and Systems, 1993, 40(12): 753-766.

[1]	蒋唯娇,刘薇,钱方明,王慧,王柯俨. 光学测绘卫星星地相机夹角在轨实时定标方法[J]. 西安电子科技大学学报, 2019, 46(5): 105-112.
[2]	曾创展,朱卫纲,贾鑫. 一种稀疏孔径逆合成孔径雷达成像算法[J]. 西安电子科技大学学报, 2019, 46(3): 123-129.
[3]	许志勇;赵兆. 平面阵声源方位角估计扰动敏感性分析[J]. 西安电子科技大学学报, 2017, 44(4): 95-99+150.
[4]	戚晓慧;吴瑛;王云龙 . 多带结构自适应滤波器的变步长矩阵设计[J]. J4, 2015, 42(4): 198-204.
[5]	李烨;杨家玮;安金坤;梁彦霞. 经验模式分解域自适应滤波方法[J]. J4, 2012, 39(6): 154-161.
[6]	田易;孙金海;李金海;阎跃鹏. 航姿参考系统中一种自适应卡尔曼滤波算法[J]. J4, 2011, 38(6): 103-107+122.
[7]	陈曦；傅光；龚书喜；阎亚丽；刘海风. 阵列天线相位中心的校准方法及误差分析[J]. J4, 2011, 38(3): 145-149.
[8]	严卫东;倪维平;赵亦工;芦颖;吴俊政. 自适应的改进Goldstein干涉相位图滤波算法[J]. J4, 2010, 37(2): 248-253+259.
[9]	张瑞华;谢智波. 一种无需次级通道模型的有源噪声控制算法[J]. J4, 2010, 37(2): 340-345+358.
[10]	张斌;冯大政;刘建强. α稳定噪声环境下IIR自适应滤波递归整体最小P-范数算法[J]. J4, 2009, 36(6): 1015-1020.
[11]	赖睿;杨银堂. 场景自适应的红外焦平面阵列非均匀性校正新方法 [J]. J4, 2009, 36(2): 228-232.
[12]	王海;周渭;刘畅生;王水平. 一种新的短时间间隔测量方法 [J]. J4, 2008, 35(2): 267-271.
[13]	王溪溪1;曾兴雯2. 直扩系统中基于小波包变换的自适应干扰抑制技术[J]. J4, 2005, 32(5): 733-736.
[14]	张爱华1;水鹏朗2. 基于自适应正交滤波器组的去噪新方法[J]. J4, 2004, 31(5): 682-687.
[15]	刘宗香1;谢维信2;杨xuan2. 分布式网状被动传感器系统定位误差分析[J]. J4, 2004, 31(5): 791-795.

宽带非平稳信号的瞬时频率测量方法

Instantaneous frequency measurement method for the broadband non-stationary signal

PDF (PC)

赞

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 8