Register to reply

Convolution area property derivation

by mafra
Tags: convolution, derivation, property
Share this thread:
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
Phys.Org News Partner Science news on
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100
May17-12, 12:00 PM
P: 867
What's the step that you were wondering about?

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"

Register to reply

Related Discussions
Associative Property of Convolution? General Math 8
Convolution property for InverseZtransform in Mathematica Math & Science Software 1
Associative property of convolution Calculus 2
Can you explain this property of convolution? Calculus 0
Convolution Property Precalculus Mathematics Homework 3