GATE EC 2014 Question Paper (15-Feb-2014) (Shift 2)

In a half-subtractor circuit with X and Y as inputs, the Borrow (M) and Difference (N = X - Y) are given by

An FIR system is described by the system function

$H\left(s\right)=1+\frac{7}{2}{z}^{-1}+\frac{3}{2}{z}^{-2}$

The system is

Let x[n] = x[-n] Let X(z) be the Z-transform of x[n]. if 1 + j2 is a zero of X(z). Which one of the following must also be a zero of X(z)

Consider the periodic square wave in figure shown.



Ratio of $7^{\mathrm{th}}$ harmonic power to $5^{\mathrm{th}}$ harmonic power is

The natural frequency of an undamped second order system is 40 rad/sec. If the system is damped with a damping ratio 0.3, the damped natural frequency in rad/sec is _____