View source for Communative Property for Continuous Time (ECE301Summer2008asan) - Rhea

[[Category: ECE]]
[[Category: ECE 301]]
[[Category: Summer]]
[[Category: 2008]]
[[Category: asan]]
[[Category: Bonus]]
Given:
<math>y(n)=x(n)*h(n)=\int_{k=-\infty}^{\infty}x(\tau)h(t-\tau)d\tau</math>

#<math>x(n)*h(n)=\int_{k=-\infty}^{\infty}x(\tau)h(t-\tau)d\tau</math>
#<math>\tau'=t-\tau</math>
#<math>x(n)*h(n)=\int_{k=\infty}^{-\infty}x(t-\tau')h(\tau')(-1)d\tau'</math> from 1 and 2
#<math>x(n)*h(n)=\int_{k=-\infty}^{\infty}h(\tau')x(t-\tau')d\tau'</math>
#<math>x(n)*h(n)=h(n)*x(n)</math>