How to generate a signal with duration and period?

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maruljay 2020-4-27

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https://ww2.mathworks.cn/matlabcentral/answers/521005-how-to-generate-a-signal-with-duration-and-period

评论： Ameer Hamza 2020-4-28

I want to generate a signal using the function: (sin(2π/u)T +1), taken at t = 0, 1, 2, . . . 32sec with u = 32 sec and repeated every 128 seconds.

A noise with the variance of 0.01 also needs to be added to the signal.

The signal should look like this:

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Answer 1

Ameer Hamza 2020-4-27

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I guess you made a mistake will writing the equation of periodic function. (sin(2π/u)T +1) canot create such a signal. Try the following code

duration = 32;
period = 128;
u = 32;
T = 0:32;
one_cycle = [sin(pi/u*T) zeros(1, period-numel(T))]+1;
num_cycles = 5;
signal = repmat(one_cycle, 1, num_cycles);
noisy_signal = signal + randn(1, numel(signal))*0.1; % noise with variance 0.1
T = 0:numel(noisy_signal)-1;
subplot(2,1,1);
plot(T, signal);
subplot(2,1,2);
plot(T, noisy_signal);