Figure 1.
(a) Doppler effect: according to the Doppler effect, the phase change Δθ(t) of the reflected signal is proportional to motion of the measured location, scaled by wavelength of the signal Δθ(t)= 4πΔx(t)/λ, where Δx(t) is the chest displacement and λ is the wavelength of the transmitted signal; (b) Standing wave: the figure shows a possible sinusoidal standing wave. The different lines show the standing wave at different moments in time.
Figure 1.
(a) Doppler effect: according to the Doppler effect, the phase change Δθ(t) of the reflected signal is proportional to motion of the measured location, scaled by wavelength of the signal Δθ(t)= 4πΔx(t)/λ, where Δx(t) is the chest displacement and λ is the wavelength of the transmitted signal; (b) Standing wave: the figure shows a possible sinusoidal standing wave. The different lines show the standing wave at different moments in time.
Figure 2.
Front panel of the dedicated LabVIEW user interface: (a) reference III-Lead ECG signal; (b) processed ultrasound signal at f1 = 40 kHz; (c) processed ultrasound signal at f2 = 39 kHz. Note that US signals are delayed compared to ECG signal for about 200 ms because of the type and place of measurement; (d) measuring error, i.e., difference between the reference signal and experimental method signal instantaneous HR displayed on a diagram; (e) diagram of instantaneous HR of the two methods in question and (f) numerical display of instantaneous HR of all three signals.
Figure 2.
Front panel of the dedicated LabVIEW user interface: (a) reference III-Lead ECG signal; (b) processed ultrasound signal at f1 = 40 kHz; (c) processed ultrasound signal at f2 = 39 kHz. Note that US signals are delayed compared to ECG signal for about 200 ms because of the type and place of measurement; (d) measuring error, i.e., difference between the reference signal and experimental method signal instantaneous HR displayed on a diagram; (e) diagram of instantaneous HR of the two methods in question and (f) numerical display of instantaneous HR of all three signals.
Figure 3.
Test signal experiment consisting of (a) Agilent signal generator, generating a pulse signal with 0.5% duty cycle. The generated signal was connected to (b) Biopac ECG commercially available III-lead ECG system and (c) a standard speaker. The membrane of the speaker vibrated with the selected frequency (0.75 Hz to 3.6 Hz), mimicking a human torso. At the distance of 25 cm; (d) US transducers recorder the speaker signal via the (e) E-MU 24-bit/192 kHz A/D converter. Both acquired signals were analyzed by the (f) LabVIEW software.
Figure 3.
Test signal experiment consisting of (a) Agilent signal generator, generating a pulse signal with 0.5% duty cycle. The generated signal was connected to (b) Biopac ECG commercially available III-lead ECG system and (c) a standard speaker. The membrane of the speaker vibrated with the selected frequency (0.75 Hz to 3.6 Hz), mimicking a human torso. At the distance of 25 cm; (d) US transducers recorder the speaker signal via the (e) E-MU 24-bit/192 kHz A/D converter. Both acquired signals were analyzed by the (f) LabVIEW software.
Figure 4.
Experimental setup consisting of (a) ultrasound transducers measuring neck displacement due to volumetric changes of the external jugular veins during each cardiac cycle; (b) commercially available III-Lead ECG system (c) a dedicated LabVIEW application for signal recording and processing.
Figure 4.
Experimental setup consisting of (a) ultrasound transducers measuring neck displacement due to volumetric changes of the external jugular veins during each cardiac cycle; (b) commercially available III-Lead ECG system (c) a dedicated LabVIEW application for signal recording and processing.
Figure 5.
Clinical experiment non-contact measuring device setup.
Figure 5.
Clinical experiment non-contact measuring device setup.
Figure 6.
A comparison between the test signal, which is increased from 0.75 Hz (45 bpm) up to 3.6 Hz (216 bpm) in a random time interval, and the US signal. The largest deviations appear during the frequency change. Apart from that, the differences are kept below 1 bpm.
Figure 6.
A comparison between the test signal, which is increased from 0.75 Hz (45 bpm) up to 3.6 Hz (216 bpm) in a random time interval, and the US signal. The largest deviations appear during the frequency change. Apart from that, the differences are kept below 1 bpm.
Figure 7.
The non-filtered signal (NF) also included several disturbances caused by environmental factors. For the purpose of further analytical processing of the HR and time domain HRV markers (AVNN, SDNN, rMSSD, pNN20 and pNN50), sections where the differences between the instantaneous ECG HR and US HR signal above 15 beats per minute were filtered out. The image demonstrates error in the US signal at the beginning of the recording while the subject was still moving, and error due to swallowing of saliva in the middle of the recording.
Figure 7.
The non-filtered signal (NF) also included several disturbances caused by environmental factors. For the purpose of further analytical processing of the HR and time domain HRV markers (AVNN, SDNN, rMSSD, pNN20 and pNN50), sections where the differences between the instantaneous ECG HR and US HR signal above 15 beats per minute were filtered out. The image demonstrates error in the US signal at the beginning of the recording while the subject was still moving, and error due to swallowing of saliva in the middle of the recording.
Figure 8.
Recorded signal in laboratory experiment for subject 1.
Figure 8.
Recorded signal in laboratory experiment for subject 1.
Figure 9.
Recorded signal in laboratory experiment for subject 2.
Figure 9.
Recorded signal in laboratory experiment for subject 2.
Figure 10.
Recorded signal in laboratory experiment for subject 3.
Figure 10.
Recorded signal in laboratory experiment for subject 3.
Figure 11.
Recorded signal in laboratory experiment for subject 4.
Figure 11.
Recorded signal in laboratory experiment for subject 4.
Figure 12.
Recorded signal in laboratory experiment for subject 5.
Figure 12.
Recorded signal in laboratory experiment for subject 5.
Figure 13.
Bland-Altman plot comparison between the calculated instantaneous HR obtained from the ground truth ECG and the optimal US signal (where known unwanted artefacts have already been filtered out). (a) represents an example measurement during relaxation period (95.6% of the signal lies within the LOA); (b) represents an example measurement after physical activity (94.9% of the signal lies within the LOA).
Figure 13.
Bland-Altman plot comparison between the calculated instantaneous HR obtained from the ground truth ECG and the optimal US signal (where known unwanted artefacts have already been filtered out). (a) represents an example measurement during relaxation period (95.6% of the signal lies within the LOA); (b) represents an example measurement after physical activity (94.9% of the signal lies within the LOA).
Figure 14.
Sample of recorded signal on one of the patients in clinical environment.
Figure 14.
Sample of recorded signal on one of the patients in clinical environment.
Table 1.
Mean and standard deviation of the differences between the instantaneous HR obtained with the experimental method at different frequencies (fOPT = optimal frequency selected in real time) and the reference method.
Table 1.
Mean and standard deviation of the differences between the instantaneous HR obtained with the experimental method at different frequencies (fOPT = optimal frequency selected in real time) and the reference method.
Transducer Frequency | f = 1 Hz/2 Hz/3 Hz | f = 0.75–3.6 Hz |
---|
Mean ΔHR [bpm] | Std. Dev. ΔHR [bpm] | Mean ΔHR [bpm] | Std. Dev. ΔHR [bpm] |
---|
f1 = 40 kHz | 0/0/0.0080 | 0/0/0.0652 | 0.032 | 0.325 |
f2 = 39 kHz | 0/0/0.0083 | 0/0/0.0652 | 0.035 | 0.397 |
fOPT | / | / | 0.029 | 0.310 |
Table 2.
HR statistical parameters for laboratory experiment, subject 1–5.
Table 2.
HR statistical parameters for laboratory experiment, subject 1–5.
Transducer Frequency | During Relaxation | After Physical Activity |
---|
Average Value + Std. Dev. ΔHR (min−1) | Average Value + Std. Dev. ΔHR (min−1) |
---|
Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 | Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 |
---|
f1 = 40 kHz | 0.11 ± 0.33 | 15.17 ± 35.77 | 3.33 ± 19.13 | 23.99 ± 53.95 | 9.50 ± 33.27 | 10.82 ± 36.52 | 12.86 ± 35.23 | 26.19 ± 54.68 | 26.44 ± 54.67 | 1.10 ± 9.11 |
f2 = 39 kHz | 4.45 ± 25.61 | 41.46 ± 51.36 | 9.22 ± 36.07 | 12.94 ± 42.08 | 2.61 ± 16.85 | 26.46 ± 56.57 | 15.85 ± 40.54 | 2.26 ± 15.44 | 4.35 ± 23.78 | 6.03 ± 30.32 |
Opt. sig. with ECG | 0.06 ±0.18 | 0.63 ± 1.98 | 0.13 ± 0.38 | 0.15 ± 0.33 | 0.17 ± 0.20 | 0.18 ± 0.44 | 0,38 ± 1.05 | 0.34 ± 72 | 0.25 ± 0.64 | 0.28 ± 0.48 |
Opt. sig. without ECG | 0.16 ± 0.45 | 0.71 ± 2.10 | 0.16 ± 0.41 | 0.33 ± 1.20 | 0.18 ± 0.23 | 0.33 ± 0.16 | 0.56 ± 1.47 | 0.54 ± 0.92 | 0.38 ± 0.71 | 0.30 ± 0.50 |
Ejected signal (%) | 2 | 17 | 5 | 4 | 11 | 3 | 9 | 7 | 7 | 3 |
Table 3.
Representative time domain values of HRV measurements in a 5 min data set, during relaxation, subject 1–5, part 1.
Table 3.
Representative time domain values of HRV measurements in a 5 min data set, during relaxation, subject 1–5, part 1.
Time Domain HRV Measures | During Relaxation |
---|
ECG | Optimal US Signal Compared to ECG Signal |
---|
Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 | Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 |
---|
AVNN (ms) | 937.27 | 1029.28 | 1000.49 | 802.88 | 1059.13 | 937.27 | 1025.73 | 1000.50 | 803.07 | 1059.04 |
SDNN (ms) | 46.95 | 62.61 | 61.28 | 27.41 | 35.34 | 46.82 | 68.11 | 61.30 | 27.33 | 35.34 |
rMSSD (ms) | 24.29 | 48.50 | 46.81 | 15.03 | 38.06 | 23.64 | 66.38 | 45.55 | 15.40 | 37.86 |
pNN20 (%) | 41.77 | 69.71 | 68.15 | 13.71 | 67.66 | 39.04 | 62.96 | 66.67 | 14.14 | 69.97 |
pNN50 (%) | 2.13 | 32.94 | 23.97 | 1.02 | 21.66 | 2.09 | 29.63 | 24.05 | 1.00 | 21.92 |
Table 4.
Representative time domain values of HRV measurements in a 5 min data set, during relaxation, subject 1–5, part 2.
Table 4.
Representative time domain values of HRV measurements in a 5 min data set, during relaxation, subject 1–5, part 2.
Time Domain HRV Measures | During Relaxation |
---|
Optimal US Signal Not Compared to ECG Signal | Relative Error Compared/Not Compared to ECG (%) |
---|
Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 | Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 |
---|
AVNN (ms) | 937.50 | 1026.86 | 1001.04 | 805.48 | 1059.36 | 0.00/0.02 | 0.34/0.23 | 0.00/0.06 | 0.02/0.32 | 0.01/0.02 |
SDNN (ms) | 46.32 | 68.24 | 61.28 | 30.95 | 35.28 | 0.28/1.34 | 8.99/8.78 | 0.01/0.02 | 0.30/12.91 | 0.01/0.18 |
rMSSD (ms) | 23.25 | 70.29 | 45.28 | 26.41 | 37.89 | 2.68/4.29 | 36.86/44.93 | 2.70/3.28 | 2.49/75.68 | 0.44/0.52 |
pNN20 (%) | 38.81 | 62.40 | 65.99 | 14.21 | 70.18 | 6.53/7.09 | 9.67/10.48 | 2.18/3.18 | 3.20/3.71 | 3.42/3.73 |
pNN50 (%) | 3.30 | 29.24 | 24.15 | 1.99 | 21.39 | 2.09/54.78 | 10.05/11.23 | 0.34/0.74 | 1.75/95.53 | 1.20/1.27 |
Table 5.
Representative time domain values of HRV measurements in a 5 min data set, after 1 min physical activity, subject 1–5, part 1.
Table 5.
Representative time domain values of HRV measurements in a 5 min data set, after 1 min physical activity, subject 1–5, part 1.
Time Domain HRV Measures | After Physical Activity |
---|
ECG | Optimal US Signal Compared to ECG Signal |
---|
Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 | Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 |
---|
AVNN (ms) | 775.58 | 754.16 | 655.25 | 661.48 | 902.30 | 775.38 | 753.23 | 654.43 | 661.52 | 901.56 |
SDNN (ms) | 39.79 | 62.24 | 32.40 | 25.96 | 41.30 | 39.66 | 62.99 | 32.94 | 26.11 | 41.56 |
rMSSD (ms) | 22.74 | 20.83 | 12.03 | 8.02 | 30.42 | 22.53 | 21.32 | 13.15 | 11.57 | 30.55 |
pNN20 (%) | 37.43 | 32.12 | 8.16 | 0.42 | 48.51 | 37.99 | 30.08 | 10.24 | 0.77 | 44.90 |
pNN50 (%) | 1.71 | 3.01 | 0.19 | 0.83 | 8.01 | 1.68 | 2.92 | 0.20 | 0.84 | 7.94 |
Table 6.
Representative time domain values of HRV measurements in a 5 min data set, during relaxation, subject 1–5, part 2.
Table 6.
Representative time domain values of HRV measurements in a 5 min data set, during relaxation, subject 1–5, part 2.
Time Domain HRV Measures | After Physical Activity |
---|
Optimal US Signal Not Compared to ECG Signal | Relative Error Compared/Not Compared to ECG (%) |
---|
Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 | Sub. 1 | Sub. 2 | Sub. 3 | Sub. 4 | Sub. 5 |
---|
AVNN (ms) | 776.64 | 755.04 | 656.10 | 662.55 | 901.34 | 0.03/0.12 | 0.12/0.12 | 0.12/0.13 | 0.00/0.16 | 0.08/0.11 |
SDNN (ms) | 40.55 | 63.85 | 33.06 | 26.14 | 41.64 | 0.34/1.92 | 1.20/2.58 | 1.67/2.04 | 0.57/0.70 | 0.64/0.83 |
rMSSD (ms) | 25.47 | 26.42 | 13.70 | 11.96 | 31.53 | 0.96/11.98 | 2.37/26.83 | 9.27/13.83 | 44.15/49.05 | 0.43/3.66 |
pNN20 (%) | 38.53 | 29.54 | 11.50 | 0.80 | 44.70 | 1.50/2.93 | 6.36/8.04 | 25.52/41.00 | 84.62/92.00 | 7.45/7.87 |
pNN50 (%) | 3.12 | 4.03 | 0.41 | 0.90 | 7.90 | 2.23/81.78 | 2.77/34.08 | 1.38/111.50 | 0.42/8.35 | 0.91/1.35 |
Table 7.
Average and standard deviation of HR parameters for the laboratory group.
Table 7.
Average and standard deviation of HR parameters for the laboratory group.
Transducer Frequency | During Relaxation | After Physical Activity |
---|
Average Value + Standard Deviation ΔHR (min−1) | Average Value + Standard Deviation ΔHR (min−1) |
---|
f1 = 40 kHz | 10.42 ± 28.49 | 15.48 ± 38.04 |
f2 = 39 kHz | 14.14 ± 34.39 | 10.99 ± 33.33 |
Opt. sig. with ECG | 0.23 ± 0.61 | 0.29 ± 0.67 |
Opt. sig. without ECG | 0.31 ± 0.88 | 0.42 ± 0.75 |
Table 8.
HR statistical parameters for clinical experiment.
Table 8.
HR statistical parameters for clinical experiment.
Transducer Frequency | During Relaxation |
---|
Average Value + Standard Deviation ΔHR (min−1) |
---|
f1 = 40 kHz | 53.24 ± 84.66 |
f2 = 39 kHz | 13.24 ± 48.60 |
Opt. sig. with ECG | 0.41 ± 1.97 |
Opt. sig. without ECG | 0.50 ± 2.00 |
Table 9.
Representative time domain values of HRV measurements in a 5 min data set.
Table 9.
Representative time domain values of HRV measurements in a 5 min data set.
Time Domain HRV Measures | During Relaxation |
---|
ECG | Opt. Sig. with ECG | Opt. Sig. without ECG | Relative Error Compared/Not Compared to ECG (%) |
---|
AVNN (ms) | 1373.51 | 1373.51 | 1369.31 | 0.05/0.31 |
SDNN (ms) | 68.02 | 90.34 | 92.08 | 32.82/35.38 |
rMSSD (ms) | 247.94 | 258.00 | 258.95 | 4.04/4.44 |
pNN20 (%) | 24.16 | 26.32 | 38.14 | 8.94/57.90 |
pNN50 (%) | 15.17 | 14.21 | 15.17 | 6.32/35.93 |