GATE EC 2012 Question Paper (12-Feb-2012) (Shift 2)

Let y[n] denote the convolution of h[n] and g[n], where h[n] = (1/2)ⁿ u[n] and g[n] is a causal sequence. If y[0] = 1 and y[1] = ½, then g[1] equals

The signal m (t) as shown in figure below is applied both to a phase modulator (with kₚ as the phase constant) and a frequency modulator with (k${}_f$ as the frequency constant) having the same carrier frequency(given m(t) maximum amplitude is 2). The ratio kₚ / k${}_f$ (in rad/Hz) for the same maximum phase deviation is

The state transition diagram for the logic circuit shown is

The voltage gain A${}_V$ of the circuit shown below is

If V${}_A$ – V${}_B$ = 6 V then V${}_C$ – V${}_D$ is