GATE EC 2010 Question Paper (14-Feb-2010) (Shift 1)

For an N-point FFT algorithm with N = 2${}^m$, which one of the following statements is TRUE?

The transfer function Y(s)/R(s) of the system shown is

A system with transfer function $\frac{Y\left(s\right)}{X\left(s\right)}=\frac{s}{s+p}$ has an output $y\left(t\right)=cos\left(2t-\frac{\pi }{3}\right)$ for the input signal $x\left(t\right)=p\cos \left(2t-\frac{\pi }{2}\right)$. Then, the system parameter p is

For the asymptotic Bode magnitude plot shown below, the system transfer function can be

Suppose that the modulating signal is m(t)=2cos(2πf${}_m$ t) and the carrier signal is x${}_c$ (t) = A${}_c$ cos(2πf${}_c$ t). Which one of the following is a conventional AM signal without over-modulation?