Recent questions tagged gate2002-ec

A unity feedback system has the plant transfer function $G_{p}(s)=\frac{1}{(s+1)(2 s+1)}$Determine the frequency at which the plant has a phase lag of $90^{\circ}$. An in...

The Nyquist plot of an all-pole second order open-loop system is shown in the figure is. Obtain the transfer function of the system.

The block diagram of a linear time invariant system is given in the figure isWrite down the state variable equations for the system in matrix form assuming the state vect...

A deterministic signal $x(t)=\cos 2 \pi t$ is passed through a differentiator as shown in the figure isDetermine the autocorrelation $R_\mathrm{xx}(T)$ and the power spec...

A DSBSC modulated signal $s(t)=10 \cos \left(2 \pi \times 10^{b} t\right. +\phi) m\left(t^{-}\right)$is corrupted by an additive white Gaussian noise of power spectral de...

A continuous-time signal with finite energy, band limited from $3 \; \mathrm{MHz}$ to $5 \; \mathrm{MHz}$, is ideally sampled, encoded by a fixed length PCM coder and the...

A discrete memoryless source generates either $0$ or $1$ at a rate of $160 \; \mathrm{Kbps}; 0$ is generated three times more frequently than $1.$ A coherent binary PSK m...

Transmission line transformation of a load $Z_{L}$ to $Z$ is given by\[Z=Z_{0} \frac{Z_{1}+j Z_{0} \tan (\beta l)}{Z_{0}+j Z_{\mathrm{L}} \tan (\beta l)}\]Show that the a...

Consider a parallel plate waveguide with plate separation $d$ as shown in the figure electric and magnetic fields for the TEM-mode are given by$\begin{array}{l}\mathrm{E}...

Consider a linear array of two half-wave dipoles $\mathrm{A}$ and $\text{B}$ as shown in the figure is. The dipoles are $\frac{\lambda}{4}$ apart and are excited in such ...