Some useful results Discrete-Time Signals and Systems--Digital Signal Processing Unit sample synthesis Any arbitrary sequence can be synthesized as a weighted sum of delayed and scaled unit sample sequence. 00 x(n)=∑x(k)6(n-k) k=-00 Even and odd synthesis Even (symmetric):Xe(-n)=xe(n) Odd (antisymmetric):x(-n)=-x(n) Any arbitrary real-valued sequence can be decomposed into its even and odd component:x(n)=x(n)+x(n) 上游充通大￥Some useful results Discrete-Time Signals and Systems —— Digital Signal Processing  Unit sample synthesis Any arbitrary sequence can be synthesized as a weighted sum of delayed and scaled unit sample sequence. Even and odd synthesis Even (symmetric): xe (-n)=xe (n) Odd (antisymmetric): xo (-n)=-xo (n) Any arbitrary real-valued sequence can be decomposed into its even and odd component: x (n)=xe (n)+ xo (n)      k x(n) x(k) (n k)