ABSTRACT
Definitions
h(t) and x(t) defined for all t y ( t ) = ∫ − ∞ ∞ x ( τ ) h ( t − τ ) d τ = ∫ − ∞ ∞ x ( t − τ ) h ( τ ) d τ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332951/a5e9ddd2-7a84-42d5-9c66-2199fdb5b813/content/eq73.tif"/>
causal h(t): {h(t) = 0, t < 0} {Note limits} y ( t ) = ∫ − ∞ t x ( τ ) h ( t − τ ) d τ = ∫ 0 ∞ x ( t − τ ) h ( τ ) d τ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332951/a5e9ddd2-7a84-42d5-9c66-2199fdb5b813/content/eq74.tif"/>
causal h(t), x(t): h(t), x(t) = 0, t < 0 {Note limits} y ( t ) = ∫ 0 t x ( τ ) h ( t − τ ) d τ = ∫ 0 t x ( t − τ ) h ( τ ) d τ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332951/a5e9ddd2-7a84-42d5-9c66-2199fdb5b813/content/eq75.tif"/>
