More properties Power content of signal Autocorrelation Rr()= x(O)x(t-t)dt R()分→X0P Sampling x(t0)=x(1)6(1-t0) x(o)28(t-nto)sampled version of x(t) H∑-m)=∑8-, n=-∞ n=-0 Eytan Modiano|( More properties • Power content of signal • Autocorrelation • Sampling Eytan Modiano Slide 8 ∫ ∞ ∞ x t −∞|( ) |2 dt = ∫−∞ X f ) |2 df ∞ * Rx () = ∫−∞ τ x(t)x (t − τ )dt Rx () ⇔ | X( f ) |2 τ x to ( )δ(t − to () = x t ) ∞ x t() ∑δ(t − nto ) = sampled version of x(t) n=−∞ ∞ ∞ F[ ∑ δ(t − nto )] = 1 ∑ δ( f − n )] t t n=−∞ o n=−∞ o