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Hot questions in Signals and Systems
+1
vote
0
answers
1
Gate EE2014
For a peridic square wave ,which one of the following statements is TRUE? 1). The fourieF series coefficients do not exist 2).The Fourier series coefficients exist but the reconstruction converges at most point. I know the correct answer is 2). But I need some explanation.
asked
Jul 8, 2018
in
Signals and Systems
by
Shaurya khare
(
130
points)
0
votes
0
answers
2
GATE2014110
For a periodic square wave, which one of the following statements is TRUE? (A) The Fourier series coefficients do not exist. (B) The Fourier series coefficients exist but the reconstruction converges at no point. (C) The Fourier series ... and the reconstruction converges at most points. (D) The Fourier series coefficients exist and the reconstruction converges at every point.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
squarewave
periodicfunction
fourier
series
coefficients
+1
vote
0
answers
3
GATE2014321
A state diagram of a logic gate which exhibits a delay in the output is shown in the figure, where $X$ is the don’t care condition, and $Q$ is the output representing the state. The logic gate represented by the state diagram is $XOR$ $OR$ $AND$ $NAND$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
delayfunction
latches
0
votes
0
answers
4
GATE2015234
For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE? The impulse response will be integrable, but may not be absolutely integrable. The unit impulse response will have finite support. The unit step response will be absolutely integrable. The unit step response will be bounded
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
impulseresponse
unitstepresponse
0
votes
0
answers
5
GATE2014334
A sinusoid $x(t)$ of unknown frequency is sampled by an impulse train of period $20$ $ms$. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at $25$ $Hz$. The filter output is seen to be a sinusoid of frequency $20$ $Hz$. This means that $x(t)$ has a frequency of $10$ $Hz$ $60$ $Hz$ $30$ $Hz$ $90$ $Hz$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
impulsetrain
lowpassfilter
0
votes
0
answers
6
GATE2015128
The signum function is given by $ sgn(x)= \begin{cases} \frac{x}{x};x \neq 0& \\ 0;x=0& \end{cases}$ The Fourier series expansion of $sgn (\cos (t) )$ has Only sine terms with all harmonics. Only cosine terms with all harmonics. Only sine terms with even numbered harmonics. Only cosine terms with odd numbered harmonics.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee1
signumfunction
fourierseriesexpansion
0
votes
0
answers
7
GATE201524
The Laplace transform of $f(t)= 2\sqrt{t/\pi}$ is $s^{3/2}$. The Laplace transform of $g(t)=\sqrt{1/\pi t}$ is. $3s^{5/2} /2$ $s^{1/2}$ $s^{1/2}$ $s^{3/2}$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee2
laplacetransform
fourierseries
0
votes
0
answers
8
GATE2014126
Let g:$[0,\infty )\rightarrow [0,\infty )$ be a function defined by $g(x)=x[x]$, where $[x]$ represents the integer part of x. (That is, it is the largest integer which is less than or equal to x). The value of the constant term in the Fourier series expansion of g(x) is _______
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
fourier
series
expansion
fouriertransform
0
votes
0
answers
9
GATE2014133
The function shown in the figure can be represented as $u(t)u(tT)+\frac{(tT)}{T}u(tT)\frac{(t2T)}{T}u(t2T)$ $u(t)+\frac{t}{T}u(tT)\frac{t}{T}u(t2T)$ $u(t)u(tT)+\frac{(tT)}{T}u(t)\frac{(t2T)}{T}u(t)$ $u(t)+\frac{(tT)}{T}u(tT)2\frac{(t2T)}{T}u(t2T)$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
impulsefunction
unitstepfunction
0
votes
0
answers
10
GATE2014234
An input signal $x(t)=2+5sin(100\pi t)$ is sampled with a sampling frequency of $400$ $Hz$ and applied to the system whose transfer function is represented by $\frac{Y(z)}{X(z)}=\frac{1}{N}(\frac{1Z^{N}}{1Z^{1}})$ where, $N$ represents the number of samples per cycle. The output $y(n)$ of the system under steady state is $0$ $1$ $2$ $5$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
transferfunction
samplingpercycle
0
votes
0
answers
11
GATE201414
Let $X(s)=\frac{3s+5}{s^2+10s+21}$ be the Laplace Transform of a signal $x(t)$. Then, $x(0^+) $is $0$ $3$ $5$ $21$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
laplacetransform
transferfunction
0
votes
0
answers
12
GATE201341
The impulse response of a continuous time system is given by $h(t)=\delta (t1)+\delta (t3).$ The value of the step response at $t=2$ is $0$ $1$ $2$ $3$
asked
Feb 12, 2017
in
Signals and Systems
by
piyag476
(
1.5k
points)
gate2013ee
impulseresponse
stepresponse
0
votes
0
answers
13
GATE2014320
The two signals $S1$ and $S2$, shown in figure, are applied to $Y$ and $X$ deflection plates of an oscilloscope.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
oscilloscope
evenfunctions
0
votes
0
answers
14
GATE2014310
For the signal $f(t)=3sin8\pi t+6sin12\pi t+sin14\pi t$ , the minimum sampling frequency (in $Hz$) satisfying the Nyquist criterion is _________.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
samplingfrequency
stability
0
votes
0
answers
15
GATE2014134
Let $X(z)=\frac{1}{1z^{3}}$ be the Ztransform of a causal signal $x[n]$ Then, the values of $x[2]$ and $x[3]$ are $0$ and $0$ $0$ and $1$ $1$ and $0$ $1$ and $1$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
ztransform
sausality
0
votes
0
answers
16
GATE2014155
The figure shows one period of the output voltage of an inverter.$\alpha$ should be chosen such that $60^0<\alpha <90^0$. If $rms$ value of the fundamental component is $50$ $V$, then $\alpha$ in degree is______________
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
periodicfunctions
fouriertransform
0
votes
0
answers
17
GATE201519
A moving average function is given by $y(t) = \frac{1}{T}\int_{tT}^{t} u(\tau ) d \tau$. If the input $u$ is a sinusoidal signal of frequency $\frac{1}{2T}Hz$ then in steady state, the output $y$ will lag $u$ (in degree) by ______ .
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee1
steadystate
sinusoidalsignal
0
votes
0
answers
18
GATE2015135
Consider a discrete time signal given by $x[n]= (0.25)^{n} u[n]+(0.5)^{n} u [n1]$ The region of convergence of its $Z$transform would be The region inside the circle of radius $0.5$ and centered at origin The region outside the circle ... centered at origin The annular region between the two circles, both centered at origin and having radii $0.25$ and $0.5$ The entire $Z$ plane.
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2015ee1
discretetimesignal
convergence
0
votes
0
answers
19
GATE201435
A function f(t) is shown in the figure. The Fourier transform F(ω) of f(t) is real and even function of $ω$. real and odd function of $ω$. imaginary and odd function of $ω$ imaginary and even function of $ω$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
evenfunction
oddfunction
0
votes
0
answers
20
GATE201419
x(t) is nonzero only for $T_x$<t<${T}'x$ , and similarly, y(t) is nonzero only for $T_y$<t<${T}'y$. Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE? z(t) can be nonzero over an unbounded interval. z(t) is nonzero for t<($T_x$+$T_y$) z(t) is zero outside of $T_x$+$T_y$<t<${T}'_x+{T}'_y$ z(t) is nonzero for t>${T}'_x+{T}'_y$
asked
Feb 12, 2017
in
Signals and Systems
by
makhdoom ghaya
(
9.2k
points)
gate2014ee1
convolution
interval
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