Answer Happy

IRA#5_1. Given x(1)-68(t)- 35(1-1) and Fourier transform of x(1) is X(es), then X(0) is equal to (a) 0 (b) 1 (c) 2 (d) 3 (e) 4 Answer: IRA5 2. Given that the Fourier transform of xit) is X(), if x00-for-1<x<+1 and si-0 otherwise. then X() must be a/an (a) complex-valued function of co with real and imaginary parts (b) real even function of (c) real odd function of s (d) imaginary even function of o (e) imaginary odd function of Answer: IRA#5 3. Given that X(es) is the Fourier transform of x(t) and X()=(1-je, the amplitude and phase spectra of x(t) are respectively (a) 1-j.-200 (b) 1-j.-j20 (c) √2.-200 (d) √2, -120 (e) none of the above Answer: IRAS 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 h(t) are respectively H)-I and H()-j, the system overall frequency response is (b) j (c) 1+j (d) e (e) e hi(t) ho(1) 17
IRA#5_1. Given x(t) = 68(t)- 38(t-1) and Fourier transform of x(t) is X(), then X(0) is equal to (a) 0 (b) 1 (c) 2 (d) (e) 4 Answer: IRA#5_2. Given that the Fourier transform of x(t) is X(o), if x(t) = [t] for -1<t<+1 and x(t)=0 otherwise, then X() must be a/an (a) complex-valued function of oo with real and imaginary parts (b) real even function of co (c) real odd function of co (d) imaginary even function of (e) imaginary odd function of Answer: IRA#5_3. Given that X() is the Fourier transform of x(t) and X() = (1-j)e2, the amplitude and phase spectra of x(t) are respectively (a) 1-j,-200 (b) 1-j,-j20 (c) √2, -200 (d) √2, -j26 (e) none of the above Answer: