Generate trapezoidal waveform from a square waveform using convolution

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Victor Dos Santos 2023-3-9

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https://ww2.mathworks.cn/matlabcentral/answers/1925705-generate-trapezoidal-waveform-from-a-square-waveform-using-convolution

评论： William Rose 2023-3-9

采纳的回答： William Rose

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Hello,

I try to generate a trapezoidal waveform from a square waveform using convolution using rectpuls() and fft() but I don't manage to obtain the good result with correct amplitude (i.e. same as the original signal). Could you please help me ?

Thank you !

Example:

t = 0:10e-6:10;

signal = 270*square(t);

trise=100e-6;

x = rectpuls(t-trise/2,trise);

conv = ifft(fft(signal).*fft(x));

figure

plot(t,signal,'k-+'); hold on

plot(t,conv,'r-s'); hold on

legend('signal', 'conv')

xlabel('Time (s)')

ylabel('Signal (-)')

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采纳的回答

William Rose 2023-3-9

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编辑：William Rose 2023-3-9

@Victor Dos Santos,

[edit correct capitalization errors]

Your convolution worked and it did produce a trapezoidal signal. You just need to zoom in more on the transitions to see the trapezoidal shape. See zoomed-in plot below.

If you want wider transitions, then you need to make the signal x have a wider pulse. In its present form, the pulse in x is only 0.0001 time units long.