ABSTRACT

Definitions

h(n) and x(n) defined for all n y ( n ) = ∑ m = − ∞ ∞ x ( m ) h ( n − m ) = ∑ m = − ∞ ∞ x ( n − m ) h ( m ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332951/a5e9ddd2-7a84-42d5-9c66-2199fdb5b813/content/eq85.tif"/>

causal h(n): {h(n) = 0, n < 0} {Note limits} y ( n ) = ∑ m = − ∞ n x ( m ) h ( n − m ) = ∑ m = 0 ∞ x ( n − m ) h ( m ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332951/a5e9ddd2-7a84-42d5-9c66-2199fdb5b813/content/eq86.tif"/>

causal h(n), x(n): {h(n), x(n) = 0, n < 0} y ( n ) = ∑ m = 0 n x ( m ) h ( n − m ) = ∑ m = 0 n x ( n − m ) h ( m ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332951/a5e9ddd2-7a84-42d5-9c66-2199fdb5b813/content/eq87.tif"/>