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LTI Image Interpretation

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laurita

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How would you interpretate this image about LTI systems and convolution?
If you don't get it, please go through step-by-step telling what you thinks it means...
JAlHsYs.jpg
 
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h[n] is the impulse response, X[n] is the input signal, h[X0]..h[X3] is the response to each individual pulse in X[n], Y[n] is the sum of those responses, the output signal.
 
Do you think everything in the image is clear and correct? Is it easy to understand what you have to multiply and add together? (y[0]=..., y[1]=..., etc) What would happen if you change 'Y[3]' to 'X[1]h[2] + X[2]h[1] + X[3]h[0]'?
 
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