Convolution area property derivation


by mafra
Tags: convolution, derivation, property
mafra
mafra is offline
#1
May16-12, 07:56 PM
P: 10
1. The problem statement, all variables and given/known data
Let y(t) be the convolution of x(t) with h(t), show that the area under y(t) is the product of the areas under x(t) and h(t)

2. Relevant equations
Convolution definition

3. The attempt at a solution
I found a derivation but it skips a step, uploaded it here:
htt p://i50.tiny pic.com/s15dus.jpg
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Bohrok
Bohrok is offline
#2
May17-12, 12:00 PM
P: 867
What's the step that you were wondering about?

mafra
mafra is offline
#3
May17-12, 12:11 PM
P: 10
I don't get how it is possible to separate the integrals in "exchanging the order of integration"


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