IRA#5_1. Given x(t)= 28(t-0.5) + 8(t+1.5) and Fourier transform of x(t) is X(), then X(0) is equal to (a) 0 (b) 1 (c) 2

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Ira 5 1 Given X T 28 T 0 5 8 T 1 5 And Fourier Transform Of X T Is X Then X 0 Is Equal To A 0 B 1 C 2 1 (39.34 KiB) Viewed 21 times

Ira 5 1 Given X T 28 T 0 5 8 T 1 5 And Fourier Transform Of X T Is X Then X 0 Is Equal To A 0 B 1 C 2 2 (31.84 KiB) Viewed 21 times

IRA#5_1. Given x(t)= 28(t-0.5) + 8(t+1.5) and Fourier transform of x(t) is X(), then X(0) is equal to (a) 0 (b) 1 (c) 2 ((d)) 3 Answer: IRA#5_2. Given that the Fourier transform of x(t) is X(), if x(t) = 13sin(2nt) for -1<t<+1 and x(t)=0 otherwise, then X(co) is a/an (a) complex-valued function of co with real and imaginary parts (b) real even function of co (c) real odd function of co (d) imaginary even function of co (e) imaginary odd function of co Answer: IRA#5_3. Given that X() is the Fourier transform of x(t) and X() = (-1-j)e-12, the amplitude and phase spectra of x(t) are respectively ((a)) -1-j,-200 (b) -1-j,-j200 (c) -1-j, -200-3π/4 (d) -1-j, -200+3/4 (e) √2e-13/4, -200 Answer:
IRA#5_4. The following figure shows a system formed with two cascaded subsystems with impulse responses hi(t) and h(t). Given that the Fourier transforms of hi(t) and h₂(t) are respectively Hi(0) = e and H₂(o)=e, the system overall frequency response is Answer: (a) 0:5 (b) e (c) e-j5+ ej d)e-160 (e) ej ejo, where denotes convolution (a) 1 (b) 2 (c) 3 hi(t) (d) 4 (e) 6 Answer: hz(t) IRA#5_5. The signal x(t-1) is a rectangular pulse having an amplitude of 2 and a pulse width of 3 seconds. The amplitude of the spectrum of x(t - 4) at frequency f= 0 Hz is H₁ X H₂