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3.3.1 Synchronized averaging
14

3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

Jan 17, 2016

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Page 1: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

3.3.1 Synchronized averaging

Page 2: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

Problem

• Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations of the signal or event of interest

Page 3: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

Solution

• Linear filters fail to perform when the signal and noise spectra overlap.

• Synchronized signal averaging can separate a repetitive signal from noise without distorting the signal

• ECG signals may be filtered by detecting the QRS complexes and using their positions to align the waveforms for synchronized averaging

Page 4: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

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Page 5: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

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Page 6: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

Figure 3.12

Page 7: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

Figure 3.13

Page 8: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.
Page 9: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

Figure 3.14

Page 10: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

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Measured ECG = ECG without interference + interference

Page 11: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

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Page 12: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

For synchronized averaging of order M

The resultant signal has a mean close to x

and a variance equal to

(a standard deviation equal to

Page 13: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.
Page 14: 3.3.1 Synchronized averaging. Problem Propose a time-domain technique to remove random noise given the possibility of acquiring multiple realizations.

Advantage

No spectral content of the signal is lost !