The fourier transform Frequency representation of signals · Definition: X(= x()e /2midt x(1)=X(0l2d Notation X()=F[X( X(t)=F-1[X(f)] x()分X(f) Eytan ModianoThe Fourier Transform • Frequency representation of signals ∞ () = ∫−∞ x(t)e− j ft • Definition: X f dt 2π ∞ 2 π x t() = ∫−∞ X( f )e j ft df • Notation: X(f) = F[x(t)] X(t) = F-1 [X(f)] x(t) � X(f) Eytan Modiano Slide 3