## 1. The Fourier transform of a real valued time signal has

## 2. The RMS value of a rectangular wave of period T, having a value of +V for a duration, T_{1}(< T) and -V for the duration, T - T_{1} = T_{2} equals

_{1}(< T) and -V for the duration, T - T

_{1}= T

_{2}equals

## 3. A continuous time function x(t) is periodic with period T. The function is sampled uniformly with a sampling period T_{s}. In which one of the following cases is the sampled signal periodic?

_{s}. In which one of the following cases is the sampled signal periodic?

## 4. The phase response of a passband waveform at the receiver is given by

$$\varphi \left( f \right) = - 2\pi \alpha \left( {f - {f_c}} \right) - 2\alpha \beta {f_c},$$

where f_{c} is the centre frequency, and α and β are positive constants. The actual signal propagation delay from the transmittance to receiver is

$$\varphi \left( f \right) = - 2\pi \alpha \left( {f - {f_c}} \right) - 2\alpha \beta {f_c},$$

where f

_{c}is the centre frequency, and α and β are positive constants. The actual signal propagation delay from the transmittance to receiver is

## 5. For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then

## 6. A continuous time LTI system is described by

$${{{d^2}y\left( t \right)} \over {d{t^2}}} + 4{{dy\left( t \right)} \over {dt}} + 3y\left( t \right) = 2{{dx\left( t \right)} \over {dt}} + 4x\left( t \right)$$

Assuming zero initial conditions, the response y(t) of the above system for the input x(t) = e^{-2t}u(t) is given by

$${{{d^2}y\left( t \right)} \over {d{t^2}}} + 4{{dy\left( t \right)} \over {dt}} + 3y\left( t \right) = 2{{dx\left( t \right)} \over {dt}} + 4x\left( t \right)$$

Assuming zero initial conditions, the response y(t) of the above system for the input x(t) = e

^{-2t}u(t) is given by

## 7. A rectangular pulse train s(t) as shown in the figure is convolved with the signal cos^{2}(4π × 10^{3}t). The convolved signal will be a

^{2}(4π × 10

^{3}t). The convolved signal will be a

## 8. The transfer function of a zero-order hold is

## 9. The 3-dB bandwidth of the low-pass signal e^{-t}u(t), where u(t) is the unit step function, is given by

^{-t}u(t), where u(t) is the unit step function, is given by

## 10. A system is described by the differential equation $${{{d^2}y} \over {d{t^2}}} + 5{{dy} \over {dt}} + 6y\left( t \right) = x\left( t \right).$$ Let x(t) be a rectangular pulse given by

$$x\left( t \right) = \left\{ {\matrix{
{1,} & {0 < t < 2} \cr
{0,} & {{\rm{otherwise}}} \cr
} } \right.$$

Assuming that y(0) = 0 and $${{dy} \over {dt}} = 0$$ at t = 0, the Laplace transform of y(t) is

$$x\left( t \right) = \left\{ {\matrix{ {1,} & {0 < t < 2} \cr {0,} & {{\rm{otherwise}}} \cr } } \right.$$

Assuming that y(0) = 0 and $${{dy} \over {dt}} = 0$$ at t = 0, the Laplace transform of y(t) is

## Read More Section(Signal Processing)

Each Section contains maximum **100 MCQs question** on **Signal Processing**. To get more questions visit other sections.