how to make an envelope of a signal?

He,
I have some trouble with making an envelope of a noisy signal with Matlab. Is there some function to do this?

Answers (3)

Try morphological dilation and erosion - they're the local max and min. Use imdilate and imerode if you have the image processing toolbox.
numberOfSamples = 200;
t = linspace(0, 4*pi, numberOfSamples);
decay = exp(-t);
y = 10 .* sin(t) .* exp(-t) + rand(1, numberOfSamples);
plot(t, y, 'r-');
grid on;
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);
upperEnvelope = imdilate(y, true(1, 9));
lowerEnvelope = imerode(y, true(1, 9));
hold on;
plot(t, upperEnvelope, 'b-', 'LineWidth', 2);
plot(t, lowerEnvelope, 'b-', 'LineWidth', 2);
Use rand, randn, etc.
eg
x = linspace(0,2*pi,300);
sx = sin(x);
out = sx + .2*(2*rand(size(x)) - 1);
plot(x,sx,'b.',x,out,'r*'); grid on

2 Comments

i have data in time domain envelope analysis pls help me in writing matlab code pls pls
There are now boundary() and envelope() functions in MATLAB. Try them.

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Daniel Shub
Daniel Shub on 12 Mar 2012
You could use the Hilbert Transform.

Asked:

on 12 Mar 2012

Commented:

on 26 Mar 2018

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