Why Does Changing Intervals and Arguments Affect Convolution Integrals?

AI Thread Summary
Changing intervals in convolution integrals affects the output because it alters the regions where the function is defined. Specifically, when the interval is modified, it can exclude parts of the function, such as the H function, which is only equal to 1 within a specific range. Additionally, cutting the argument inside the integral changes the effective range of the convolution, leading to a result of zero outside the defined limits. The integration limits are determined by the overlap of the two pulses being convolved, which are only defined from -1 to +1. Understanding these changes is crucial for accurately interpreting the results of convolution integrals.
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cant understand the red arrow transition
i changes the intervals and i cuts half of the arguent inside the integral
i can't see why
?

regarding the interval change
the H function is 1 in a certain interval
so if they change the integrval then its no longer H inside
because we have taken the '1' part of the H
??

regarding the cutting in half the argument inside the integral
i have no idea
 
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sorry wrong forum
 
The reason the integration limits change is because you're convolving two pulses that are only defined from -1 to +1, so the convolution is just 0 for all intervals other than -1 to +1.
 

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