A Read aloud Draw Highlight V Er 5. For the function x(t) = eu(t) (u(t) = 1;0 st 0;t calculate X(jo) the Fourier transforms of x(t). 6. The Fourier transform of f(t) (f(t)=sinc(t)) is F(jo)=Rect(w/2) (Figure 5). (1) For a linear, time invariant system, its impulse response is h(t) and h(t)=sin(4xt)f(t), determine the transfer function H(jw) of this linear system. (2) sketch |H(jo)|. (3) For input ui(t)=sin(nt), calculate U1(jw) and sketch JU,(jw)| (4) Calculate Y,(jo), the Fourier transform of y1(t) that is the output of the system with u, (t) as the input. (5) Calculate yi(t) by taking the inverse Fourier transform of Y,(jw). (6) For input uz(t)=sin(4xt), calculate U2(jw) and sketch JU,(jw)|. (7) Calculate Y2(jo), the Fourier transform of y2(t) that is the output of the system with u2(t) as the input. (8) Calculate y2(t) by taking the inverse Fourier transform of Yz(jo). (9) For input us(t)=sin(7nt), calculate Us(j) and sketch |Us(jw)| (10) Calculate Y3(jo), the Fourier transform of y3(t) that is the output of the system with us(t) as the input. (11) Calculate y3(t) by taking the inverse Fourier transform of Y3(ja). F( jw) w -1 0 Figure.5