GATE 1988 Electronics & Communication

Vector potential is a vector

A two - wire transmission line of characteristic impedance $$Z_0$$ is connected to a load of impedance $${Z_L}({Z_L}\, \ne \,\,{Z_0})$$. Impedance matching cannot be achieved with

If an impedance Z L is connected across a voltage source V with source impedance Z S , then for maximum power transfer, the load impedance must be equal to

A critically damped, continuous-time, second order system, when sampled, will have ( in Z domain)

Consider a characteristic equation given by s 4 + 3s 3 + 5s 2 + 6s + K + 10 = 0. The condition for stability is

The minimum number of 2-input NAND gates required to implement the Boolean function Z=A$$\overline {B\,} $$C, assuming that A, B and C are available, is

A signal x(t) = $$\exp ( - 2\pi Bt)\,u(t)$$ is the input to an ideal low pass filter with bandwidth B Hz. The output is denoted by y(t). Evaluate $$\int\limits_{ - \infty }^\infty...

The Boolean function A+BC is a reduced form of

A rectangular waveguide with cross-section dimensions 5 cm by 3 cm is filled with a dielectric of relative permittivity 3. (i) Determine the cutoff frequency of the$$T{E_{11}}$$ mo...

White Gaussian noise with zero mean and double - sided power spectral density $$\eta /2$$ is the input $$x(t)$$ to a linear system with impulse response $$h(t)$$ $$ = exp\left( { -...

A microprocessor with a 16-bit address bus is used in a linear memory selection configuration (i.e. Address bus lines are directly used as chip selects of memory chips) with 4 memo...

The message bit sequence input to a DPSK modulator is 1, 1, 0, 0, 1, 1. The carrier phase during the reception of the first two message bits is $$\pi ,\,\,\pi $$. The carrier phase...

For a normal mode EM wave propagating in a hollow rectangular wave guide

The transfer function of a zero - order hold is

A rectangular waveguide with cross-section dimensions 5 cm by 3 cm is filled with a dielectric of relative permittivity 3. (i) Determine the cutoff frequency of the$$T{E_{11}}$$ mo...

The electric field E and the magnetic field H of a short dipole antenna satisfy the condition

For a microprocessor system using I/O-mapped I/O the following statement(s) is NOT true

In register index addressing mode the effective address is given by

In a good conductor the phase relation between the tangential components of electric field E t and the magnetic field H t is as follows

A signal having uniformly distributed amplitude in the interval ( -V, +V ) is to be encoded using PCM with uniform quantization. The signal - to - quantizing noise ratio is determi...

For the identity AB+$$\overline A $$ C + BC= AB + $$\overline A $$ C, The dual form is

In a digital communication system, transmissions of successive bits through a noisy channel are assumed to be independent events with error probability p. The probability of at mos...

Two two-port network A and B are connected in parallel. The combination is to be represented as a single two-port network. The parameters of this network are obtained by addition o...

Minimum number of 2-input NAND gates required to implement the function, f=($$\overline X $$+$$\overline Y $$)(Z+W) is

Implement the function $$F=\left(\overline A+\overline B\right)\left(\overline C+\overline D\right)$$ using two open collector TTL 2-input NAND gates.

The quiescent collector current I c , of a transistor is increased by changing resistance. As a result

The Laplace transform of a function f(t)u(t), where f(t) is periodic with period T, is A(s) times the Laplace transform of its first period. Then

Specify the filter type if its voltage transfer function H(s) is given by H(s) = $${{K({s^2} + {\omega _0}^2)} \over {{s^2} + ({\omega _0}/Q)s + {\omega _0}^2}}$$

A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cutoff frequency of 8 kHz. The...

The transfer function of a zero-order hold is

The output of a system is given in difference equation form as $$y\left( k \right) = \,a\,\,y\left( {k - 1} \right) + x\left( k \right),$$ where $$x\left( k \right)$$ is the input....

On either side of a charge-free interface between two media,