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Motion artifact detection in respiratory
signals based on Teager energy operator
and accelerometer signals
Marcel Młyńczak and Gerard Cybulski

Warsaw University of Technology, Faculty of Mechatronics,
Institute of Metrology and Biomedical Engineering
Tampere, June 14, 2017
Introduction
2
Ambulatory measurements

Sleep recordings

Indirect but quantitative method
Sense of using impedance pneumography
Introduction
3
Contact method using electrodes

Need for calibration, dependent on body position

Motion artifacts appearances
Remarks / Drawbacks
Introduction
4
Motion artifacts
Frequency range of an artifact signal 

partly overlaps that of breathing

Amplitude is usually uncorrelated with 

motion intensity and characteristics

Shape may be repeatable, 

but not in the same way in each subject
Introduction
• Spectral or wavelet features
• Signal decomposition
• Kalman filtering
• Adaptive method based on ε-Tube
The problem had not been studied in depth for 

estimation of quantitative respiratory parameters!
5
Related works
Objectives
•Presentation of novel method
• relatively computationally simple
• adapted to IP signal characteristics
to detect motion artifacts using
• Teager energy operator
• additional 3-axis accelerometer signals
•Assessment of its accuracy relative to manual marking
6
Materials and Methods
7
Study group - 24 students (12 females and 12 males)
Female Male
Mean SD Mean SD
Mass [kg] 58.6 5.6 76.2 9.5
Weight [cm] 168.2 6.2 178.8 5.6
BMI 20.7 1.6 23.9 3.3
Age 22.3 5.3 22.9 3.2
8
Study protocol
4 free breaths 

for consecutive 

body positions:
➡ supine

➡ side

➡ prone

➡ side

➡ supine

➡ sitting

➡ standing

➡ sitting

➡ supine
Materials and Methods
Materials and Methods
Pneumonitor 2
9
• ECG signal to estimate heart rate
and tachogram
• Impedance signal relating to 

main breathing activity
• Portable

• Recording on SD card

• Rechargeable battery
• Motion signal from 3-axis
accelerometer to indicate 

subject’s activity and body position
Materials and Methods
Electrode configuration - as suggested by Seppa et al.
IP electrodes
ECG electrodes
Motion sensor
10
Algorithm
11
Raw IP signal
Motion 3-axis signals
Teager-Kaiser
Energy Operator
Aggregation TKE
Moving average smoothing
40 milliseconds window
Moving average smoothing
48 milliseconds window
…
Moving average smoothing
1 second window
-||-
-||-
-||-
Summation of absolute
derivatives of each axis
MRD
Spectrogram estimation
Summation of frequency
content for consecutive
time portions
TKEspecNormalization
Interpolation
Normalization
Avg Std
Weight [kg] 58.6 5.6
Height [cm] 168.2 6.2
BMI 20.7 1.6
Age 22.3 5.3
the arms at the same level [12]. Movements
the belt. A sampling frequency of fs = 250H
B. Motion artifact detection
A schematic of the proposed motion a
method is presented in Figure 1. The pro
based on the continuous Teager–Kaiser en
was originally introduced by Kaiser et al. as
ator to measure instantaneous energy change
sisting of a single time-varying frequency [13
eral applications to detect sudden changes,
sets, were later proposed [15, 16].
The continuous Teager-Kaiser energy ope
x in time t is calculated as follows:
TKE (x) =
✓
dx
dt
◆2
+x
d2x
dt2
It was found that the calculated energy
both amplitude and frequency. Therefore, th
phasizes both instantaneous properties [14].
* * * * * * *
1st step
Manually annotated
motion artifacts
Supine Side Prone Side Supine Sitting Standing Sitting
Algorithm
12
Kaiser
perator
Aggregation TKE
on of absolute
s of each axis
MRD
Spectrogram estimation
Summation of frequency
content for consecutive
time portions
TKEspec
Final reas
Normalization
Interpolation
Envelope d
TKEe
THR
Normalization
Hann window 

with 32 samples
2nd step
Algorithm
13
3rd step
* * * * * * *
Manually annotated
motion artifacts
Algorithm
14
Smoothed envelope estimated 

using the Hilbert transform
4th step
Algorithm
15
Raw IP signal
Motion 3-axis signals
Teager-Kaiser
Energy Operator
Aggregation TKE
Moving average smoothing
40 milliseconds window
Moving average smoothing
48 milliseconds window
…
Moving average smoothing
1 second window
-||-
-||-
-||-
Summation of absolute
derivatives of each axis
MRD
Spectrogram estimation
Summation of frequency
content for consecutive
time portions
TKEspec
Final reasoning
Normalization
Interpolation
Envelope detection
TKEenv
THR
Normalization
Sample signal and analysis
16
Results
17
Classification results for the best setting
Accuracy [%] 81.3
Cohen’s kappa coefficient 0.63
Sensitivity [%] 80.9
Specificity [%] 81.3
Discussion
18
State-of-the-art motion artifact detection methods are poorly suited for 

respiratory data, because they usually assume some regularities in the signals.

Accelerometer signals are certainly not necessary, but could be used to 

adapt the threshold, intended to determine whether some part of a signal 

is more likely to have motion artifacts.

In our opinion, presented method could be improved by:

• changing the thresholding approach into continuous analysis using time series
methods, machine learning heuristics, and/or Kalman filtering fusion method;

• verifying the accuracy improvement by making the whole analysis 

fully independent on the respiratory-related impedance amplitude;

• adding wavelet-based parameters to the analysis, with wavelet shapes closely
resembling those most often observed as motion artifacts.
Summary
We obtained 82% accuracy versus manual marking 

for the optimal combination of threshold level estimation
and assumptions made to utilize motion signals.

Proposed method could be applied in real time during
ambulatory signal acquisitions.
19
Motion artifact detection in respiratory
signals based on Teager energy operator
and accelerometer signals
Tampere, June 14, 2017
Marcel Młyńczak

mlynczak@mchtr.pw.edu.pl

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Motion artifact detection in respiratory signals based on Teager energy operator and accelerometer signals

  • 1. Motion artifact detection in respiratory signals based on Teager energy operator and accelerometer signals Marcel Młyńczak and Gerard Cybulski Warsaw University of Technology, Faculty of Mechatronics, Institute of Metrology and Biomedical Engineering Tampere, June 14, 2017
  • 2. Introduction 2 Ambulatory measurements Sleep recordings Indirect but quantitative method Sense of using impedance pneumography
  • 3. Introduction 3 Contact method using electrodes Need for calibration, dependent on body position Motion artifacts appearances Remarks / Drawbacks
  • 4. Introduction 4 Motion artifacts Frequency range of an artifact signal 
 partly overlaps that of breathing Amplitude is usually uncorrelated with 
 motion intensity and characteristics Shape may be repeatable, 
 but not in the same way in each subject
  • 5. Introduction • Spectral or wavelet features • Signal decomposition • Kalman filtering • Adaptive method based on ε-Tube The problem had not been studied in depth for 
 estimation of quantitative respiratory parameters! 5 Related works
  • 6. Objectives •Presentation of novel method • relatively computationally simple • adapted to IP signal characteristics to detect motion artifacts using • Teager energy operator • additional 3-axis accelerometer signals •Assessment of its accuracy relative to manual marking 6
  • 7. Materials and Methods 7 Study group - 24 students (12 females and 12 males) Female Male Mean SD Mean SD Mass [kg] 58.6 5.6 76.2 9.5 Weight [cm] 168.2 6.2 178.8 5.6 BMI 20.7 1.6 23.9 3.3 Age 22.3 5.3 22.9 3.2
  • 8. 8 Study protocol 4 free breaths 
 for consecutive 
 body positions: ➡ supine ➡ side ➡ prone ➡ side ➡ supine ➡ sitting ➡ standing ➡ sitting ➡ supine Materials and Methods
  • 9. Materials and Methods Pneumonitor 2 9 • ECG signal to estimate heart rate and tachogram • Impedance signal relating to 
 main breathing activity • Portable • Recording on SD card • Rechargeable battery • Motion signal from 3-axis accelerometer to indicate 
 subject’s activity and body position
  • 10. Materials and Methods Electrode configuration - as suggested by Seppa et al. IP electrodes ECG electrodes Motion sensor 10
  • 11. Algorithm 11 Raw IP signal Motion 3-axis signals Teager-Kaiser Energy Operator Aggregation TKE Moving average smoothing 40 milliseconds window Moving average smoothing 48 milliseconds window … Moving average smoothing 1 second window -||- -||- -||- Summation of absolute derivatives of each axis MRD Spectrogram estimation Summation of frequency content for consecutive time portions TKEspecNormalization Interpolation Normalization Avg Std Weight [kg] 58.6 5.6 Height [cm] 168.2 6.2 BMI 20.7 1.6 Age 22.3 5.3 the arms at the same level [12]. Movements the belt. A sampling frequency of fs = 250H B. Motion artifact detection A schematic of the proposed motion a method is presented in Figure 1. The pro based on the continuous Teager–Kaiser en was originally introduced by Kaiser et al. as ator to measure instantaneous energy change sisting of a single time-varying frequency [13 eral applications to detect sudden changes, sets, were later proposed [15, 16]. The continuous Teager-Kaiser energy ope x in time t is calculated as follows: TKE (x) = ✓ dx dt ◆2 +x d2x dt2 It was found that the calculated energy both amplitude and frequency. Therefore, th phasizes both instantaneous properties [14]. * * * * * * * 1st step Manually annotated motion artifacts Supine Side Prone Side Supine Sitting Standing Sitting
  • 12. Algorithm 12 Kaiser perator Aggregation TKE on of absolute s of each axis MRD Spectrogram estimation Summation of frequency content for consecutive time portions TKEspec Final reas Normalization Interpolation Envelope d TKEe THR Normalization Hann window 
 with 32 samples 2nd step
  • 13. Algorithm 13 3rd step * * * * * * * Manually annotated motion artifacts
  • 14. Algorithm 14 Smoothed envelope estimated 
 using the Hilbert transform 4th step
  • 15. Algorithm 15 Raw IP signal Motion 3-axis signals Teager-Kaiser Energy Operator Aggregation TKE Moving average smoothing 40 milliseconds window Moving average smoothing 48 milliseconds window … Moving average smoothing 1 second window -||- -||- -||- Summation of absolute derivatives of each axis MRD Spectrogram estimation Summation of frequency content for consecutive time portions TKEspec Final reasoning Normalization Interpolation Envelope detection TKEenv THR Normalization
  • 16. Sample signal and analysis 16
  • 17. Results 17 Classification results for the best setting Accuracy [%] 81.3 Cohen’s kappa coefficient 0.63 Sensitivity [%] 80.9 Specificity [%] 81.3
  • 18. Discussion 18 State-of-the-art motion artifact detection methods are poorly suited for 
 respiratory data, because they usually assume some regularities in the signals. Accelerometer signals are certainly not necessary, but could be used to 
 adapt the threshold, intended to determine whether some part of a signal 
 is more likely to have motion artifacts. In our opinion, presented method could be improved by: • changing the thresholding approach into continuous analysis using time series methods, machine learning heuristics, and/or Kalman filtering fusion method; • verifying the accuracy improvement by making the whole analysis 
 fully independent on the respiratory-related impedance amplitude; • adding wavelet-based parameters to the analysis, with wavelet shapes closely resembling those most often observed as motion artifacts.
  • 19. Summary We obtained 82% accuracy versus manual marking 
 for the optimal combination of threshold level estimation and assumptions made to utilize motion signals. Proposed method could be applied in real time during ambulatory signal acquisitions. 19
  • 20. Motion artifact detection in respiratory signals based on Teager energy operator and accelerometer signals Tampere, June 14, 2017 Marcel Młyńczak mlynczak@mchtr.pw.edu.pl