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Recent questions tagged gauss'stheorem
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GATE2016350
A voicegrade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of $4.0\:kHz$ and twosided noise power spectral density ${\large\frac{\eta}{2}}=2.5\times10^{5}Watt\:per\:Hz$. If information at the rate of $52\:kbps$ is to be transmitted over this channel with arbitrarily small bit error rate, then the minimum bitenergy $E_b$ (in mJ/bit) necessary is _______
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Mar 28, 2018
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Milicevic3306
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gate2016ec3
numericalanswers
vectoranalysis
gauss'stheorem
engineeringmathematics
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2
GATE2016150
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 through a filter with ... $E_s > E_h$ ; $SNR_{max}>\frac{2E_s}{N_0} \\ $ $E_s < E_h$ ; $SNR_{max}=\frac{2E_h}{N_0}$
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec1
vectoranalysis
engineeringmathematics
gauss'stheorem
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3
GATE2015249
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 $\dfrac{3}{2}A^{2}N_{0} \\$ $\dfrac{3}{4}A^{2}N_{0} \\$ $A^{2}N_{0} \\$ $\dfrac{1}{2}A^{2}N_{0}$
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Mar 28, 2018
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Milicevic3306
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gate2015ec2
vectoranalysis
engineeringmathematics
gauss'stheorem
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4
GATE201443
Let $X$ be a zero mean unit variance Gaussian random variable. $E[ \mid X \mid ]$ is equal to __________
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Mar 26, 2018
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Milicevic3306
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15.7k
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gate2014ec4
numericalanswers
vectoranalysis
engineeringmathematics
gauss'stheorem
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5
GATE2014422
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
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Mar 26, 2018
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Milicevic3306
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15.7k
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gate2014ec4
vectoranalysis
gauss'stheorem
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6
GATE2014449
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 $Z$ ... $\tau$ should be strictly positive zero strictly negative strictly positive, zero, or strictly negative depending on the nonzero value of $\sigma ^2$
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Mar 26, 2018
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Milicevic3306
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15.7k
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gate2014ec4
vectoranalysis
engineeringmathematics
gauss'stheorem
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7
GATE2014452
Consider a discretetime channel $Y=X +Z$, where the additive noise $Z$ is signaldependent. In particular, given the transmitted symbol $ X \in \{a , +a\}$ at any instant, the noise sample $Z$ is chosen independently from a Gaussian distribution with mean $\beta X$ and unit variance. Assume a ... $\beta = 0.3$, the BER is closest to $10^{7}$ $10^{6}$ $10^{4}$ $10^{2}$
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Mar 26, 2018
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Milicevic3306
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15.7k
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gate2014ec4
vectoranalysis
engineeringmathematics
gauss'stheorem
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8
GATE2014222
The capacity of a bandlimited 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, $P$ ... $(W\rightarrow \infty )$ is approximately $1.44$ $1.08$ $0.72$ $0.36$
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Mar 26, 2018
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Milicevic3306
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15.7k
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gate2014ec2
vectoranalysis
gauss'stheorem
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