基于Hilbert变换的脉冲信号FRI采样及其参数估计
Pulse Signal FRI-sampling and Parameter Estimation Based on Hilbert Transform
摘 要
为了降低信号的采样速率，减少采集数据量，针对非严格有限新息率(Finite Rate of Innovation，FRI)信号，提出了一种基于Hilbert变换的超声脉冲信号FRI采样方法。将脉冲超声检测信号通过Hilbert变换解包络，形成具有有限新息率的脉冲信号，利用低速采样系统实现了脉冲超声检测信号的低速采样。通过零化滤波器方法从低速采样信号中解算出了脉冲超声检测信号的峰值时刻点，实现了对检测信号的参数估计。通过加入加性高斯白噪声验证了该采样方法对噪声的适应能力。试验结果表明，该低速采样方法可减少信号的采集数据量，并准确估计出峰值到达时刻点。
超声波
有限新息率
Hilbert变换
参数估计
Pulse signal
Ultrasonic
FRI
Hilbert transform
Parameter estimation
Abstract
For the purpose of lowering the signal sampling rate and reducing the amount of testing data, a sampling method of ultrasonic pulse signal with non-restrict finite rate of innovation (FRI) is proposed based on Hilbert transform. The pulse signal with FRI is obtained by solving the envelope of the tested ultrasonic signal using Hilbert transform. Then, low rate sampling has been accomplished on pulse signal. The adaptive capacity of the low-rate sampling technique is verified by putting additional Gaussian white noise in the signal. The experimental results show that this method can not only reduce the amount of sampling data, but also be used to estimate the arrival time of the echo peak accurately.
中图分类号 TP391 TG115.28 DOI 10.11973/wsjc201607010
所属栏目 试验研究
基金项目 国家自然科学基金资助项目(51375217)
收稿日期 2015/1/26
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备注宋寿鹏(1967-),男,博士,教授,主要从事无损检测与信息处理方面的研究工作。
引用该论文: SONG Shou-peng,PENG Cheng-qing,ZHAO Teng-fei,WANG Yun-jiao. Pulse Signal FRI-sampling and Parameter Estimation Based on Hilbert Transform[J]. Nondestructive Testing, 2016, 38(7): 40～43
宋寿鹏,彭成庆,赵腾飞,王云蛟. 基于Hilbert变换的脉冲信号FRI采样及其参数估计[J]. 无损检测, 2016, 38(7): 40～43
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【3】MISHALI M, ELDAR Y C. Sub-Nyquist sampling ［J］. IEEE Signal Processing Magazine, 2011, 28(6): 98-124.
【4】HAO Yan-yan, MARZILIANO P, VETTERLI M, et al. Compression of ECG as a signal with finite rate of innovation ［C］//Proceedings of the 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference,Shanghai:［s.n］, 2005: 7564-7567.
【5】TUR R, ELDAR Y C,FRIEDMAN Z.Innovation rate sampling of pulse streams with application to ultrasound imaging ［J］. IEEE Transactions on Signal Processing,2011, 59(4): 1827-1842.
【6】CHERNYAKOVA T,BARLLAN O,ELDAR Y C. FRI-based sub-nyquist sampling and beamforming in ultrasound and radar ［C］//Proceedings of the 10th International Conference on Sampling Theory and Applications,［S.l］:［s.n］ ,2013: 117-120.
【7】LEE C W. An analysis of polyphase envelope detection ［J］. IEEE Transactions on Communications,1973,21(8): 967-969.
【8】RIC E,VENKATACHALAM D A, WEGMANN V. A simple envelope detector ［J］. IEEE Transactions on Instrumentation and Measurement, 1988, 37: 223-226.
【9】梅璐璐, 林京, 季桂华,等. 基于相移小波的信号包络提取方法研究［J］.仪器仪表学报,2007,28(6):1122-1128.
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