Integration of data with discrete values

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Athira Surendran 2017-2-5

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评论： Star Strider 2017-2-6

data.xls

I've amplitude-time data (discrete data) of a signal. I want to find the power of the signal using the algorithm in figure. I'm unable to do the Integration part. Can someone please help me?? (Data file attached)

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Answer 1

Star Strider 2017-2-5

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This calculates the power using numerical integration, then integrates it. Either the cumtrapz or trapz call should work for you.

[D,S,R] = xlsread('data.xls');
Amplitude = D(1,:);
Time = D(2,:);
Power = Amplitude.^2;                                       % Data Are Real, ‘abs’ Not Necessary
Cumulative_Integral = cumtrapz(Time, Power);
Total_Power = trapz(Time, Power);

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Athira Surendran 2017-2-6

Can u suggest any smoothing filters for the result obtained above?

Star Strider 2017-2-6

The ‘Power’ signal doesn’t seem to be noisy. I don’t know what you want to do with a ‘smoothing filter’. Two options I can suggest are the Savitizky-Golay filter (the sgolayfilt function) and the envelope function (also see the hilbert function). A lowpass filter is also an option, however the others are likely easier considering the nature of your signal.

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