• Acta Physica Sinica
  • Vol. 68, Issue 8, 084303-1 (2019)
Da-Wei Wang1,2, Zhao-Ba Wang1,*, You-Xing Chen1, Hai-Yang Li1, and Hao-Kun Wang1
Author Affiliations
  • 1School of Information and Communication Engineering, North University of China, Taiyuan 030051,China
  • 2School of Physics and Information Engineering, Shanxi Normal University, Linfen 041000, China
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    DOI: 10.7498/aps.68.20182080 Cite this Article
    Da-Wei Wang, Zhao-Ba Wang, You-Xing Chen, Hai-Yang Li, Hao-Kun Wang. Ultrasonic echo processing method based on dual-Gaussian attenuation model[J]. Acta Physica Sinica, 2019, 68(8): 084303-1 Copy Citation Text show less
    Flow chart of ultrasonic signal processing.超声信号处理流程图
    Fig. 1. Flow chart of ultrasonic signal processing.超声信号处理流程图
    Envelope of ultrasonic echo model: (a) [a, b, T ] = [1.5, 2.5, 1]; (b) [a, b, T ] = [3, 3, 1]; (c) [a, b, T ] = [1.7, 3.2, 1]; (d) [a, b, T ] = [1, 3, 1].超声回波模型包络 (a) [a, b, T ] = [1.5, 2.5, 1]; (b) [a, b, T ] = [3, 3, 1]; (c) [a, b, T ] = [1.7, 3.2, 1]; (d) [a, b, T ] = [1, 3, 1]
    Fig. 2. Envelope of ultrasonic echo model: (a) [a, b, T ] = [1.5, 2.5, 1]; (b) [a, b, T ] = [3, 3, 1]; (c) [a, b, T ] = [1.7, 3.2, 1]; (d) [a, b, T ] = [1, 3, 1]. 超声回波模型包络 (a) [a, b, T ] = [1.5, 2.5, 1]; (b) [a, b, T ] = [3, 3, 1]; (c) [a, b, T ] = [1.7, 3.2, 1]; (d) [a, b, T ] = [1, 3, 1]
    Simulation of ultrasonic echo: (a) Ideal ultrasonic signal; (b)noisy ultrasonic echo.仿真超声回波 (a)理想超声信号; (b)含噪超声回波
    Fig. 3. Simulation of ultrasonic echo: (a) Ideal ultrasonic signal; (b)noisy ultrasonic echo.仿真超声回波 (a)理想超声信号; (b)含噪超声回波
    Comparison of de-noising by different methods: (a) Noisy echo plotted in a black solid line, original signal plotted in a red dotted line; (b) signal de-noised by our proposed method; (c) signal de-noised by wavelet method; (d) signal de-noised by EMD method不同方法降噪结果对比 (a)黑色实线为含噪回波, 红色虚线为原始信号; (b)本文方法处理结果; (c)小波方法处理结果; (d) EMD方法处理结果
    Fig. 4. Comparison of de-noising by different methods: (a) Noisy echo plotted in a black solid line, original signal plotted in a red dotted line; (b) signal de-noised by our proposed method; (c) signal de-noised by wavelet method; (d) signal de-noised by EMD method不同方法降噪结果对比 (a)黑色实线为含噪回波, 红色虚线为原始信号; (b)本文方法处理结果; (c)小波方法处理结果; (d) EMD方法处理结果
    Ultrasonic echo acquisition device.超声回波采集装置
    Fig. 5. Ultrasonic echo acquisition device.超声回波采集装置
    Comparison of different ultrasonic signal models.不同超声信号模型对比
    Fig. 6. Comparison of different ultrasonic signal models.不同超声信号模型对比
    Comparison of measured ultrasonic echo processing results: (a) Measured ultrasonic echo; (b) measured ultrasonic echo contaminated by system noise; (c) echo processed by our proposed method; (d) echo processed by wavelet method; (e) echo processed by EMD method.实测超声回波处理结果对比 (a)实测超声回波; (b)混入系统噪声后的实测超声回波, 信噪比为–10 dB; (c)本文方法结果; (d)小波方法结果; (e) EMD方法结果
    Fig. 7. Comparison of measured ultrasonic echo processing results: (a) Measured ultrasonic echo; (b) measured ultrasonic echo contaminated by system noise; (c) echo processed by our proposed method; (d) echo processed by wavelet method; (e) echo processed by EMD method.实测超声回波处理结果对比 (a)实测超声回波; (b)混入系统噪声后的实测超声回波, 信噪比为–10 dB; (c)本文方法结果; (d)小波方法结果; (e) EMD方法结果
    输入SNR实际值/ ${\text{μ}}{\rm{s}}$估计值/ ${\text{μ}}{\rm{s}}$绝对误差/ ${\text{μ}}{\rm{s}}$相对误差/%
    10099.99790.00210.0021
    20 dB500499.97890.02110.0042
    800800.06540.06540.0082
    100100.12740.12740.1274
    10 dB500500.35140.35140.0703
    800800.47800.47800.0597
    100100.47910.47910.4791
    0 dB500500.77560.77560.1551
    800802.38192.38190.2977
    10098.61911.38091.3809
    –10 dB500504.40614.40610.8812
    800
    Table 1.

    Estimation error of transit time τ.

    渡越时间τ估计误差

    输入SNR方法MSENCCESNR/dB
    本文方法01.000049.7149
    20 dB小波方法00.999630.5339
    EMD方法00.997723.3946
    本文方法01.000042.1588
    10 dB小波方法0.00010.996321.3690
    EMD方法0.00020.990216.8283
    本文方法00.999732.3540
    0 dB小波方法0.00100.951210.1957
    EMD方法0.00140.94118.8503
    本文方法0.00030.985715.4456
    –10 dB小波方法0.00430.84393.8503
    EMD方法0.01000.71490.1636
    Table 2.

    Comparison of denoising results using different methods.

    不同方法降噪结果对比

    Da-Wei Wang, Zhao-Ba Wang, You-Xing Chen, Hai-Yang Li, Hao-Kun Wang. Ultrasonic echo processing method based on dual-Gaussian attenuation model[J]. Acta Physica Sinica, 2019, 68(8): 084303-1
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