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Hot questions in Signals and Systems
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21
GATE Electrical 2013 | Question: 17
For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is$100$$300$$500$$1500$
piyag476
1.6k
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piyag476
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Feb 11, 2017
Signals and Systems
gate2013-ee
periodicity
sinusoidal
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–
0
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0
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22
GATE Electrical 2014 Set 1 | Question: 35
Let $f(t)$ be continuous time signal and let $F(w)$be its Fourier Transform defined by $F(\omega )=\displaystyle{}\int_{-\infty }^{\infty }f(t)e^{-j\omega t} dt$ define $g(t)$ ... $f(t)$ only if $f(t)$ is a sinusoidal function. $g(t)$ would never be proportional to $f(t)$.
Let $f(t)$ be continuous time signal and let $F(w)$be its Fourier Transform defined by $F(\omega )=\displaystyle{}\int_{-\infty }^{\infty }f(t...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
fourier-transform
unit-step-function
continuous time
signal
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–
0
votes
0
answers
23
GATE Electrical 2015 Set 1 | Question: 35
Consider a discrete time signal given by $x[n]= (-0.25)^{n} u[n]+(0.5)^{n} u [-n-1]$ 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 ... origin The annular region between the two circles, both centered at origin and having radii $0.25$ and $0.5$ The entire $Z$ plane.
Consider a discrete time signal given by$x[n]= (-0.25)^{n} u[n]+(0.5)^{n} u [-n-1]$The region of convergence of its $Z$-transform would beThe region inside the circle of ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-1
discrete-time-signal
convergence
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–
0
votes
0
answers
24
GATE Electrical 2014 Set 1 | Question: 34
Let $X(z)=\dfrac{1}{1-z^{-3}}$ be the $Z$ – transform 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$
Let $X(z)=\dfrac{1}{1-z^{-3}}$ be the $Z$ – transform of a causal signal $x[n]$ Then, the values of $x $ and $x[3]$ are$0$ and $0$$0$ and $1$$1$ and $0$$1$ and $1$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-1
z-transform
sausality
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–
0
votes
0
answers
25
GATE Electrical 2014 Set 3 | Question: 10
For the signal $f(t)=3 \sin8 \pi t+6 \sin 12\pi t+ \sin14\pi t$ , the minimum sampling frequency (in $Hz$) satisfying the Nyquist criterion is _________.
For the signal $f(t)=3 \sin8 \pi t+6 \sin 12\pi t+ \sin14\pi t$ , the minimum sampling frequency (in $Hz$) satisfying the Nyquist criterion is _________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
sampling-frequency
stability
numerical-answers
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–
0
votes
0
answers
26
GATE Electrical 2015 Set 2 | Question: 35
The $z$-Transform of a sequence $x[n]$ is given as $X(z)=2z+4-4/z+3/z^{2}$. If $y[n]$ is the first difference of $x[n]$, then $Y(z)$ is given by $2z+2-8/z+7/z^{2}-3/z^{3}$ $-2z+2-6/z+1/z^{2}-3/z^{3}$ $-2z-2+8/z-7/z^{2}+3/z^{3}$ $4z-2-8/z-1/z^{2}+3/z^{3}$
The $z$-Transform of a sequence $x[n]$ is given as $X(z)=2z+4-4/z+3/z^{2}$. If $y[n]$ is the first difference of $x[n]$, then $Y(z)$ is given by$2z+2-8/z+7/z^{2}-3/z^{3}$...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-2
sequence
complex-frequency-domain-representation
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–
0
votes
0
answers
27
GATE Electrical 2014 Set 3 | Question: 32
A series $RLC$ circuit is observed at two frequencies. At $ω_1=1 \text{ krad/s}$, we note that source voltage $V_1=100\angle 0^{\circ} \: V$ results in a current $I_1=0.03\angle 31^{\circ}$ $A$. At $w_2=2 \text{ krad/s}$ ... $R=50\Omega$ ; $L=50 mH$ ,$C=5 \mu F$ $R=50\Omega$ ; $L=5 mH$ ,$C=50 \mu F$
A series $RLC$ circuit is observed at two frequencies. At $ω_1=1 \text{ krad/s}$, we note that source voltage $V_1=100\angle 0^{\circ} \: V$ results in a current $I_1=0....
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
rc-filter
rl-filter
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–
0
votes
0
answers
28
GATE Electrical 2014 Set 3 | Question: 33
A continuous-time $LTI$ system with system function $H(w)$ has the following pole-zero plot. For this system, which of the alternatives is $TRUE$? $\mid H(0)\mid > \mid H(w)\mid ;\mid w\mid > 0$ $\mid H(w) \mid$ has multiple maxima, at $w_1$ ... $\mid H(w)\mid =$ constant; $-\infty < w< \infty$
A continuous-time $LTI$ system with system function $H(w)$ has the following pole-zero plot. For this system, which of the alternatives is $TRUE$?$\mid H(0)\mid \mid H(w...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2014-ee-3
pole-zero-plot
linear-time-invariant-system
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–
0
votes
0
answers
29
GATE Electrical 2013 | Question: 6
Two systems with impulse responses $h_1(t)$ and $h_2(t)$ are connected in cascade.then the overall impulse response of the cascaded system is given by Product of $h_1(t)$ and $h_2(t)$ Sum of $h_1(t)$ and $h_2(t)$ convolution of $h_1(t)$ and $h_2(t)$ subtraction of $h_2(t)$ from $h_1(t)$
Two systems with impulse responses $h_1(t)$ and $h_2(t)$ are connected in cascade.then the overall impulse response of the cascaded system is given byProduct of $h_1(t)$ ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
convolution
multiplication
addition
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–
0
votes
0
answers
30
GATE Electrical 2015 Set 2 | Question: 29
Consider a signal defined by $x(t)= \begin{cases} e^{j10 t} & \text{for } \mid t \mid \leq 1 \\ 0& \text{for } \mid t \mid > 1\end{cases}$ Its Fourier Transform is $\dfrac{2 \sin (\omega -10)}{\omega - 10}\\$ ... $\dfrac{2 \sin \omega}{\omega - 10} \\$ $e^{j10 \omega }\dfrac{2 \sin\omega }{\omega }$
Consider a signal defined by$x(t)= \begin{cases} e^{j10 t} & \text{for } \mid t \mid \leq 1 \\ 0& \text{for } \mid t \mid 1\end{cases}$Its Fourier Transform is$\dfrac...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Signals and Systems
gate2015-ee-2
fourier-analysis
causal-system
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–
0
votes
0
answers
31
GATE Electrical 2016 Set 1 | Question: 3
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}-4s+29} \\ $ $\dfrac{5}{s^{2}+5} \\ $ $\dfrac{s-2}{s^{2}-4s+29} \\$ $\dfrac{5}{s +5}$
The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is $\dfrac{5}{s^{2}-4s+29} \\ $$\dfrac{5}{s^{2}+5} \\ $$\dfrac{s-2}{s^{2}-4s+29} \\$$\dfrac{5}{s +5}$
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
unit-step-function
fourier-transform
shifting-theorems
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–
0
votes
0
answers
32
GATE Electrical 2016 Set 1 | Question: 35
The output of a continuous-time, linear time-invariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigen-signal of the system $T$, when $T\left\{z(t)\right\}=\gamma z(t)$ ... $\cos(t)$ is not $\cos(t)$ and $\sin(t)$are both eigen-signals with identical eigenvalues
The output of a continuous-time, linear time-invariant system is denoted by $T\left\{x(t)\right\}$ where $x(t)$ is the input signal. A signal $z(t)$ is called eigen-signa...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
impulse-response
step-response
convolution
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–
0
votes
0
answers
33
GATE Electrical 2016 Set 1 | Question: 27
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\mid \alpha \mid < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
Let $S=\sum_{n=0}^{\infty} n\alpha^{n}$ where $\mid \alpha \mid < 1$. The value of $\alpha$ in the range $0 < \alpha < 1$, such that $S=2 \alpha$ is _________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
fourier-transform
sampling-theorem
z-transform
numerical-answers
+
–
0
votes
0
answers
34
GATE Electrical 2016 Set 2 | Question: 18
Consider a linear time-invariant system with transfer function $H(s)=\frac{1}{(s+1)}$ If the input is $\cos(t)$ and the steady state output is $A \cos(t+\alpha)$ then the value of $A$ is _________.
Consider a linear time-invariant system with transfer function$H(s)=\frac{1}{(s+1)}$If the input is $\cos(t)$ and the steady state output is $A \cos(t+\alpha)$ then the v...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
linear
translation-invariant
convolution
impulse-response
numerical-answers
+
–
0
votes
0
answers
35
GATE Electrical 2016 Set 1 | Question: 8
Consider a continuous-time system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$. This system is Linear and time-invariant Non-linear and time-invariant Linear and time-varying Non-linear and time-varying
Consider a continuous-time system with input $x(t)$ and output $y(t)$ given by $y(t)=x(t) \cos (t)$.This system isLinear and time-invariantNon-linear and time-invariantLi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
sampling-theorem
scaling-properties
causal-system
+
–
0
votes
0
answers
36
GATE Electrical 2016 Set 2 | Question: 28
Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the figure, $h(t)=e^{-2|t|}$ denotes the impulse response. For the system shown above ... can be uniquely reconstructed from its samples, is $2B_{1}$ $2(B_{1}+B_{2})$ $4(B_{1}+B_{2})$ $\infty$
Let $x_{1}(t)\leftrightarrow X_{1}(\omega )$ and $x_{2}(t)\leftrightarrow X_{2}(\omega )$ be two signals whose Fourier Transforms are as shown in the figure below. In the...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
even-functions
impulse-response
exponential-function
+
–
0
votes
0
answers
37
GATE Electrical 2016 Set 1 | Question: 34
Suppose $x_{1}(t)$ and $x_{2}(t)$ have the Fourier transforms as shown below. Which one of the following statements is TRUE? $x_{1}(t)$ and $x_{2}(t)$ are complex and $x_{1}(t) x_{2}(t)$is also complex with nonzero imaginary part $x_{1}(t)$ and $x_{2}(t)$ ... $x_{1}(t)$ and $x_{2}(t)$ are imaginary but $x_{1}(t) x_{2}(t)$ is real
Suppose $x_{1}(t)$ and $x_{2}(t)$ have the Fourier transforms as shown below.Which one of the following statements is TRUE?$x_{1}(t)$ and $x_{2}(t)$ are complex and $x_{1...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-1
mirror
signal
+
–
0
votes
0
answers
38
GATE Electrical 2016 Set 2 | Question: 5
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
Suppose the maximum frequency in a band-limited signal $x(t)$ is $5 kHz$. Then, the maximum frequency in $x(t)\cos(2000\pi t)$, in $kHz$, is ________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Jan 29, 2017
Signals and Systems
gate2016-ee-2
high-pass-filter
low-pass-filter
continuous-time-signal
numerical-answers
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