Tag: ECE/355
(t) = 0 t 0 and _{-}^ (t)dt = 1 Sifting/Replication Property _{-}^ g()(t - )dt =g(t)*(t)= g(t) (2.63) Fourier Transform (t) 1, 1 (f) Frequency Shifting Property (-j2 f_c t) (f-f_c) ...
Power Signal Signals where the following holds: _{T } {2T}_{-T}^T|g(t)|^2dt <.
Strictly Limited in Frequency/Time A signal is strictly limited in frequency (also called strictly band limited) if outside a certain bandwidth, the Fourier Transform is exactly ...
Properties of The Fourier Transform Linearity (Superposition) Let g_1(t) G_1(f), g_2(t) G_2(f), then c_1, c_2 : c_1 g_1(t) + c_2 g_2(t) c_1 G_1(f) + c_2 G_2(f) (2.14) Proof From the ...
Fourier Transform (Analysis Equation) The Fourier transform will Uniquely define G(f) G(f) = \{g(t)\} = _{-}^ g(t) (-j2 f t) dt (2.1) For a non-periodic g(t) ...