GATE ECE

Transmission of Signal Through Continuous Time Lti Systems

Signals and Systems

(Past Years Questions)

Marks 1

More
A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The ...
GATE ECE 2016 Set 1
A real - values signal x(t) limited to the frequency band $$\left| f \right| \le {W \over 2}$$ is passed through a linea...
GATE ECE 2014 Set 4
Assuming zero initial condition, the response y (t) of the system given below to a unit step input u(t) is ...
GATE ECE 2013
Let g(t) = $${e^{ - \pi {t^2}}}$$, and h(t) is a filter matched to g(t). If g(t) is applied as input to h(t), then the ...
GATE ECE 2013
Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is ...
GATE ECE 2010
A system with the transfer function $${{Y(s)} \over {X(s)}} = {s \over {s + p}}\,\,$$ has an output $$y(t) = \cos \lef...
GATE ECE 2010
In the system shown below, x(t) = (sint)u(t). In steady-state, the response y(t) will be ...
GATE ECE 2006
A low-pass filter having a frequency response $$H(j\omega )$$ = $$A(\omega ){e^{j\Phi (\omega )}}$$, does not product an...
GATE ECE 2006
A linear phase channel with phase delay $${\tau _p}$$ and group delay $${\tau _g}$$ must have
GATE ECE 2002
The input to a channel is a band pass signal. It is obtained by linearly modulating a sinusoidal carrier with a signal- ...
GATE ECE 1999
A rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a
GATE ECE 1996

Marks 2

More
A continuous-time filter with transfer function $$\,H(S) = {{2s + 6} \over {{s^2} + 6s + 8}}$$ is converted to a discret...
GATE ECE 2016 Set 2
A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions u...
GATE ECE 2016 Set 1
In the system shown in Figure (a), m(t) is a low-pass signal with bandwidth W Hz. The frequency response of the band-pas...
GATE ECE 2015 Set 1
The 3 - dB bandwidth of the low - pass signal $${e^{ - 1}}$$ u(t), where u(t) is the unit step function, is given by
GATE ECE 2007
A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system res...
GATE ECE 2004
Consider the signal x(t) shown in Fig. Let h(t) denote the impulse response of the filter matched to x(t), with h(t) bei...
GATE ECE 2004
The system under consideration is an RC low -pass filter (RC-LPF) with R = 1.0 $$k\Omega $$ and C = 1.0 $$\mu F$$. Let ...
GATE ECE 2003
The system under consideration is an RC low -pass filter (RC-LPF) with R = 1.0 $$k\Omega $$ and C = 1.0 $$\mu F$$. Let ...
GATE ECE 2003
In Fig. m(t) = $$ = {{2\sin 2\pi t} \over t}$$, $$s(t) = \cos \,200\pi t\,\,andn(t) = {{\sin 199\pi t} \over t}$$. The ...
GATE ECE 2002
A system has a phase response given by $$\phi \,(\omega )$$ where $$\omega $$ is the angular frequency. The phase delay ...
GATE ECE 2000
The input to a matched filter is given by $$s(t) = \left\{ {\matrix{ {10\sin (2\pi \times {{10}^6}t),} & {0 The pea...
GATE ECE 1999
Sketch the waveform (with properly marked axes) at the output of a matched filter matched for a signal s(t), of duration...
GATE ECE 1993
The pole-zero pattern of a certain filter is shown in the Fig. The filter must be of the following type. ...
GATE ECE 1991
The magnitude and phase transfer functions for a distortionless filter should respectively be:
GATE ECE 1990
Specify the filter type if its voltage transfer function H(s) is given by H(s) = $${{K({s^2} + {\omega _0}^2)} \over {...
GATE ECE 1988

Marks 5

More
A base band signal g(t) band limited to 100 Hz modulates a carrier of frequency $${{f_0}}$$ Hz. The modulated signal g(t...
GATE ECE 2001
A signal 3 sin $$\left( {\pi \,\,{f_0}t} \right) + \,5\,\,\cos \,\,\,(3\pi \,\,{f_0}t)$$ is applied to an RC low pass fi...
GATE ECE 1996
An input signal A exp $$\left( { - \alpha \,t} \right)$$ u(t) with $$\alpha > 0$$ is applied to a causal filter, the im...
GATE ECE 1996
A signal, f(t) = $${e^{ - at}}$$ u(t), where u(t) is the unit step function, is applied to the input of a low-pass filte...
GATE ECE 1994
Obtain an expression for the signal in figure, for the signal $${v_3}(t)$$ in Fig for $${v_1}(t) = 100\cos (2000\pi t)...
GATE ECE 1993

EXAM MAP

Graduate Aptitude Test in Engineering

GATE ECE GATE CSE GATE CE GATE EE GATE ME GATE PI GATE IN

Joint Entrance Examination

JEE Main JEE Advanced