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Recent questions tagged gauss's-theorem
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GATE ECE 2016 Set 3 | Question: 50
A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of $4.0\:kHz$ and two-sided noise power spectral density ${\large\frac{\eta}{2}}=2.5\times10^{-5}Watt\:per\:Hz$. If information at the rate ... transmitted over this channel with arbitrarily small bit error rate, then the minimum bit-energy $E_b$ (in mJ/bit) necessary is _______
Milicevic3306
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Vector Analysis
Mar 28, 2018
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Milicevic3306
15.8k
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56
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gate2016-ec-3
numerical-answers
vector-analysis
gauss's-theorem
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2
GATE ECE 2016 Set 1 | Question: 50
An analog pulse $s(t)$ is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is $r(t) = s(t) + n(t)$, where $n(t)$ is additive white Gaussian noise with power spectral density $\frac{N_0}{2}$. The received signal is passed ... $E_s > E_h$ ; $SNR_{max}>\frac{2E_s}{N_0} \\ $ $E_s < E_h$ ; $SNR_{max}=\frac{2E_h}{N_0}$
Milicevic3306
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Vector Analysis
Mar 28, 2018
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Milicevic3306
15.8k
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67
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gate2016-ec-1
vector-analysis
gauss's-theorem
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0
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3
GATE ECE 2015 Set 2 | Question: 49
A zero mean white Gaussian noise having power spectral density $\dfrac{N_{0}}{2}$ is passed through an LTI filter whose impulse response $h(t)$ is shown in the figure. The variance of the filtered noise at $t = 4$ is $\dfrac{3}{2}A^{2}N_{0} \\$ $\dfrac{3}{4}A^{2}N_{0} \\$ $A^{2}N_{0} \\$ $\dfrac{1}{2}A^{2}N_{0}$
Milicevic3306
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Vector Analysis
Mar 28, 2018
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Milicevic3306
15.8k
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58
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gate2015-ec-2
vector-analysis
gauss's-theorem
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4
GATE ECE 2014 Set 4 | Question: 22
If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival of earlier or future calls, the probability distribution function of the total number of calls in a fixed time interval will be Poisson Gaussian Exponential Gamma
Milicevic3306
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Vector Analysis
Mar 26, 2018
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Milicevic3306
15.8k
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90
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gate2014-ec-4
vector-analysis
gauss's-theorem
0
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0
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5
GATE ECE 2014 Set 4 | Question: 49
Consider a communication scheme where the binary valued signal $X$ satisfies $P\{X=+1\}=0.75$ and $P\{X=-1 \}=0.25$. The received signal $Y=X+Z$, where $Z$ is a Gaussian random variable with zero mean and variance ... $\sigma ^2$
Milicevic3306
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Vector Analysis
Mar 26, 2018
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Milicevic3306
15.8k
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40
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gate2014-ec-4
vector-analysis
gauss's-theorem
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0
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6
GATE ECE 2014 Set 2 | Question: 22
The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by $C = W \log_{2}\left ( 1+\frac{p} {\sigma ^{2}w} \right )$ bits per second (bps), where $W$ is the channel bandwidth, $P$ is the average power received ... channel capacity (in kbps) with infinite bandwidth $(W\rightarrow \infty )$ is approximately $1.44$ $1.08$ $0.72$ $0.36$
Milicevic3306
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Vector Analysis
Mar 26, 2018
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Milicevic3306
15.8k
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85
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gate2014-ec-2
vector-analysis
gauss's-theorem
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