Linear convolution or proof of LTI system is completely characterized by unit impulse response h(n).
These properties are :
- Commutative property
- Associative property
- Distributive property
1. Commutative property :
x (n) * h (n) = h (n) * x (n)
2. Distributive property :
x (n) * [ h1 (n) + h2 (n) ] = [ x (n) * h1 (n) ] + [ x (n) * h2 (n) ]
3. Associative property :
[ x (n) * h1 (n) ] * h2 (n) = x (n) * [ h1 (n) * h2 (n) ]