How to find the decay rate of a decaying signal ?

Question

Abin Krishnan 2016-5-6

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https://ww2.mathworks.cn/matlabcentral/answers/282827-how-to-find-the-decay-rate-of-a-decaying-signal

回答： Star Strider 2016-5-6

I have a sinusoidal sognal which decays exponentially in time. I would like to find the decay rate of the signal.

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Answer 1

Star Strider 2016-5-6

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https://ww2.mathworks.cn/matlabcentral/answers/282827-how-to-find-the-decay-rate-of-a-decaying-signal#answer_220988

在 MATLAB Online 中打开

If it’s a simple exponential, this works:

t = linspace(0, 1, 250);
y = exp(-2*t) .* sin(50*pi*t);
env = abs(hilbert(y));                                  % Calculate Envelope
b = polyfit(t, log(env), 1);                            % Linear Regresson On Log-Transformed Data
figure(1)
plot(t, y)
hold on
plot(t, env, '-r')
hold off
grid
text(0.5, 0.75, sprintf('Decay Rate = %.3f', b(1)))