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Recent questions tagged autocorrelation-and-power-spectral-density
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GATE ECE 2019 | Question: 34
A single bit, equally likely to be $0$ and $1$, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density $N_{0}/2.$ Binary signaling with $0 \mapsto p(t),$ and $1 \mapsto q(t),$ is used for the transmission, along with ... $E$ would we obtain the $\textbf{same}$ bit-error probability $P_{b}$? $0$ $1$ $2$ $3$
Arjun
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Communications
Feb 12, 2019
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Arjun
6.0k
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64
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gate2019-ec
gaussian-noise
autocorrelation-and-power-spectral-density
communications
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2
GATE ECE 2019 | Question: 45
Let a random process $Y(t)$ be described as $Y(t)=h(t) \ast X(t)+Z(t),$ where $X(t)$ is a white noise process with power spectral density $S_{x}(f)=5$W/Hz. The filter $h(t)$ ... power spectral density as shown in the figure. The power in $Y(t),$ in watts, is equal to _________ $W$ (rounded off to two decimal places).
Arjun
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in
Communications
Feb 12, 2019
by
Arjun
6.0k
points
58
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gate2019-ec
numerical-answers
communications
autocorrelation-and-power-spectral-density
0
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0
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3
GATE ECE 2016 Set 2 | Question: 48
An information source generates a binary sequence $\left \{ \alpha _{n} \right \}$. $\alpha _{n}$ can take one of the two possible values $-1$ and $+1$ with equal probability and are statistically independent and identically distributed. This sequence is precoded ... there is a null at $f=\frac{1}{3T}$ in the power spectral density of $X(t)$, then $k$ is ________
Milicevic3306
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Communications
Mar 28, 2018
by
Milicevic3306
15.8k
points
565
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gate2016-ec-2
numerical-answers
autocorrelation-and-power-spectral-density
communications
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0
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4
GATE ECE 2016 Set 2 | Question: 50
Consider a random process $X\left ( t \right )=3V(t)-8,$ where $V(t)$ is a zero mean stationary random process with autocorrelation $R_{v}\left ( \tau \right )=4e^{-5\mid \tau \mid}.$ The power in $X(t)$ is _________
Milicevic3306
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in
Communications
Mar 28, 2018
by
Milicevic3306
15.8k
points
53
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gate2016-ec-2
numerical-answers
communications
autocorrelation-and-power-spectral-density
0
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0
answers
5
GATE ECE 2014 Set 3 | Question: 49
Let $X(t)$ be a wide sense stationary $(WSS)$ random process with power spectral density $S_{X}(f).$ If $Y(t)$ is the process defined as $Y(t)= X(2t-1)$, the power spectral density $S_{Y}( f )$ ... $S_{Y}( f )= \frac{1}{2}S_{X}\left ( \frac{f}{2} \right )e^{-j2\pi f }$
Milicevic3306
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Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
40
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gate2014-ec-3
communications
autocorrelation-and-power-spectral-density
0
votes
0
answers
6
GATE ECE 2014 Set 3 | Question: 50
A real band-limited random process $X(t)$ ... -pass filter of unity gain with centre frequency of $8$ $kHz$ and band-width of $2$ kHz. The output power (in Watts) is ___________.
Milicevic3306
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in
Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
74
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gate2014-ec-3
numerical-answers
autocorrelation-and-power-spectral-density
communications
0
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0
answers
7
GATE ECE 2014 Set 2 | Question: 51
The power spectral density of a real stationary random process $X(t)$ is given by $ S_X (f) = \begin{cases} \frac{1}{W}, & \mid f \mid \leq W \\ 0, & \mid f \mid > W \end{cases}$ The value of the expectation $E \left [ \pi X(t)X\left ( t-\frac{1}{4W} \right ) \right ]$ is __________.
Milicevic3306
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Communications
Mar 26, 2018
by
Milicevic3306
15.8k
points
45
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gate2014-ec-2
numerical-answers
communications
autocorrelation-and-power-spectral-density
0
votes
0
answers
8
GATE ECE 2012 | Question: 27
A BPSK scheme operating over an AWGN channel with noise power spectral density of $\frac{N_o}{2}$, uses equiprobable signals $s_1(t)=\sqrt{\frac{2E}{T}}\sin(\omega_ct)$ and $s_2(t)=-\sqrt{\frac{2E}{T}}\sin(\omega_ct)$ over the symbol interval $(0,T)$. If the local oscillator ... $Q(\sqrt{\frac{E}{N_o}})$ $Q(\sqrt{\frac{E}{2N_o}})$ $Q(\sqrt{\frac{E}{4N_o}})$
Milicevic3306
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in
Communications
Mar 25, 2018
by
Milicevic3306
15.8k
points
49
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gate2012-ec
communications
autocorrelation-and-power-spectral-density
0
votes
0
answers
9
GATE ECE 2012 | Question: 2
The power spectral density of a real process $X(t)$ for positive frequencies is shown below. The values of $E[X^2(t)]$ and $ \mid E[X(t)] \mid$, respectively, are $\frac{6000}{\pi}\:,\:0$ $\frac{6400}{\pi}\:,\:0$ $\frac{6400}{\pi}\:,\:\frac{20}{(\pi\sqrt2)}$ $\frac{6000}{\pi}\:,\:\frac{20}{(\pi\sqrt2)}$
Milicevic3306
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in
Communications
Mar 25, 2018
by
Milicevic3306
15.8k
points
50
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gate2012-ec
communications
autocorrelation-and-power-spectral-density
0
votes
0
answers
10
GATE ECE 2018 | Question: 28
Consider a white Gaussian noise process $\text{N(t)}$ with two-sided power spectral density $S_{N}\left ( f \right )=0.5\:W/Hz$ as input to a filter with impulse response $0.5e^{-t^{2}/2}$ (where $t$ is in seconds) resulting in output $Y(t)$. The power in $Y(t)$ in watts is $0.11$ $0.22$ $0.33$ $0.44$
gatecse
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in
Communications
Feb 19, 2018
by
gatecse
1.5k
points
87
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gate2018-ec
gaussian-noise
autocorrelation-and-power-spectral-density
communications
0
votes
0
answers
11
GATE ECE 2017 Set 1 | Question: 51
Let $X(t)$ be a wide sense stationary random process with the power spectral density $S_{X}(f)$ as shown in Figure (a), where $f$ is in Hertz$(Hz)$. The random process $X(t)$ ... Select the correct option: only I is true only II and III are true only I and II are true only I and III are true
admin
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in
Communications
Nov 17, 2017
by
admin
31.3k
points
50
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gate2017-ec-1
autocorrelation-and-power-spectral-density
communications
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