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1
GATE ECE 2014 Set 2 | Question: 23
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively, are $3$ V and $1$ V, is ___________.
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively...
saravanan2000
140
points
481
views
saravanan2000
answered
Nov 4, 2023
Communications
gate2014-ec-2
numerical-answers
communications
amplitude-modulation
+
–
0
votes
2
answers
2
GATE ECE 2018 | Question: 15
Consider the following amplitude modulated signal: $s\left ( t \right )=\cos\left ( 2000\:\pi t \right )+4\cos\left ( 2400\:\pi t \right )+ \cos\left ( 2800\:\pi t \right ).$The ratio (accurate to three decimal places) of the power of the message signal to the power of the carrier signal is _________.
Consider the following amplitude modulated signal:$$s\left ( t \right )=\cos\left ( 2000\:\pi t \right )+4\cos\left ( 2400\:\pi t \right )+ \cos\left ( 2800\:\pi t \right...
soujanyareddy13
100
points
274
views
soujanyareddy13
recategorized
Nov 18, 2020
Communications
gate2018-ec
numerical-answers
communications
amplitude-modulation
+
–
0
votes
0
answers
3
GATE ECE 2012 | Question: 3
In a baseband communications link, frequencies upto $3500\:Hz$ are used for signaling. Using a raised cosine pulse with $75\%$ excess bandwidth and for no inter-symbol interference, the maximum possible signaling rate in the symbols per second is $1750$ $2625$ $4000$ $5250$
In a baseband communications link, frequencies upto $3500\:Hz$ are used for signaling. Using a raised cosine pulse with $75\%$ excess bandwidth and for no inter-symbol in...
soujanyareddy13
100
points
86
views
soujanyareddy13
recategorized
Nov 18, 2020
Communications
gate2012-ec
communications
calculation-of-bandwidth
+
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0
votes
0
answers
4
GATE ECE 2016 Set 1 | Question: 24
Concentric spherical shells of radii $2$m, $4$m, and $8$ m carry uniform surface charge densities of $20 \: nC/m^2$, $ – 4 \: nC/m^2$ and $\rho_s$ respectively. The value of $\rho_s$ ($nC/m^2$) required to ensure that the electric flux density $\overrightarrow D$ = $\overrightarrow 0$ at radius $10$ m is ________
Concentric spherical shells of radii $2$m, $4$m, and $8$ m carry uniform surface charge densities of $20 \: nC/m^2$, $ – 4 \: nC/m^2$ and $\rho_s$ respectively. The val...
soujanyareddy13
100
points
159
views
soujanyareddy13
recategorized
Nov 17, 2020
Communications
gate2016-ec-1
numerical-answers
to-be-tagged
communications
+
–
0
votes
0
answers
5
GATE ECE 2020 | Question: 22
A binary random variable $X$ takes the value $+2$ or $-2$. The probability $P(X=+2)=\alpha $. The value of $\alpha$ (rounded off to one decimal place), for which the entropy of $X$ is maximum, is __________.
A binary random variable $X$ takes the value $+2$ or $-2$. The probability $P(X=+2)=\alpha $. The value of $\alpha$ (rounded off to one decimal place), for which the entr...
soujanyareddy13
100
points
177
views
soujanyareddy13
recategorized
Nov 17, 2020
Communications
gate2020-ec
numerical-answers
entropy
communications
+
–
0
votes
0
answers
6
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 ________
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 probabi...
soujanyareddy13
100
points
640
views
soujanyareddy13
recategorized
Nov 17, 2020
Communications
gate2016-ec-2
numerical-answers
autocorrelation-and-power-spectral-density
communications
+
–
0
votes
0
answers
7
GATE ECE 2015 Set 3 | Question: 22
The modulation scheme commonly used for transmission from GSM mobile terminals is $4$-QAM $16$-PSK Walsh-Hadamard orthogonal codes Gaussian Minimum Shift Keying (GMSK)
The modulation scheme commonly used for transmission from GSM mobile terminals is$4$-QAM $16$-PSK Walsh-Hadamard orthogonal codes Gaussian Minimum Shift Keying (GMSK)
soujanyareddy13
100
points
153
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2015-ec-3
communications
gaussian-minimum-shift-keying
+
–
0
votes
0
answers
8
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 }$
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 spectr...
soujanyareddy13
100
points
86
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2014-ec-3
communications
autocorrelation-and-power-spectral-density
+
–
0
votes
0
answers
9
GATE ECE 2017 Set 1 | Question: 22
Which one of the following statements about differential pulse code modulation (DPCM) is true? The sum of message signal sample with its prediction is quantized The message signal sample is directly quantized, and its prediction is not ... signal sample and a random signal is quantized The difference of message signal sample with its prediction is quantized
Which one of the following statements about differential pulse code modulation (DPCM) is true?The sum of message signal sample with its prediction is quantizedThe message...
soujanyareddy13
100
points
1.2k
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2017-ec-1
digital-communications
differential-pulse-code-modulation
+
–
0
votes
0
answers
10
GATE ECE 2020 | Question: 42
For the modulated signal $x\left ( t \right )=m\left ( t \right )\cos\left ( 2\pi f_{c}t \right )$, the message signal $m\left ( t \right )=4\cos\left ( 1000\pi t \right )$ and the carrier frequency $f_{c}$ is $1\: MHz$. The signal $x(t)$ is passed ... $\cos\left ( 920\pi t \right )$ $\cos\left ( 1000\pi t \right )$ $\cos\left ( 540\pi t \right )$
For the modulated signal $x\left ( t \right )=m\left ( t \right )\cos\left ( 2\pi f_{c}t \right )$, the message signal $m\left ( t \right )=4\cos\left ( 1000\pi t \right ...
soujanyareddy13
100
points
210
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2020-ec
communications
demodulator
+
–
0
votes
0
answers
11
GATE ECE 2020 | Question: 47
$S_{PM}(t)$ and $S_{FM}(t)$ as defined below, are the phase modulated and the frequency modlated waveforms, respectively, corresponding to the message signal $m(t)$ ... $S_{PM}(t)$ and $S_{FM}(t)$ are same, then the value of the ratio $\dfrac{K_{p}}{K_{f}}$ is ________ seconds.
$S_{PM}(t)$ and $S_{FM}(t)$ as defined below, are the phase modulated and the frequency modlated waveforms, respectively, corresponding to the message signal $m(t)$ shown...
soujanyareddy13
100
points
102
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2020-ec
numerical-answers
communications
frequency-modulation
+
–
0
votes
0
answers
12
GATE ECE 2017 Set 1 | Question: 23
In a digital communication system, the overall pulse shape $p(t)$ at the receiver before the sampler has the Fourier transform $P(f)$. If the symbols are transmitted at the rate of $2000$ symbols per second, for which of the following cases is the inter symbol interference zero?
In a digital communication system, the overall pulse shape $p(t)$ at the receiver before the sampler has the Fourier transform $P(f)$. If the symbols are transmitted at t...
soujanyareddy13
100
points
520
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2017-ec-1
digital-communication
communications
+
–
0
votes
0
answers
13
GATE ECE 2017 Set 2 | Question: 52
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure. The channel is lossless noiseless useless deterministic
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure.The channel islosslessnoiselessuselessdeterministic
soujanyareddy13
100
points
296
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2017-ec-2
channel-capacity-theorem
communications
+
–
0
votes
0
answers
14
GATE ECE 2018 | Question: 16
Consider a binary channel code in which each codeword has a fixed length of $5\: bits$. The Hamming distance between any pair of distinct codewords in this code is at least $2$. The maximum number of codewords such a code can contain is __________.
Consider a binary channel code in which each codeword has a fixed length of $5\: bits$. The Hamming distance between any pair of distinct codewords in this code is at le...
soujanyareddy13
100
points
149
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2018-ec
numerical-answers
communications
hamming-codes
+
–
0
votes
0
answers
15
GATE ECE 2014 Set 4 | Question: 51
An M-level PSK modulation scheme is used to transmit independent binary digits over a band-pass channel with bandwidth $100$ kHz. The bit rate is $200$ kbps and the system characteristic is a raised-cosine spectrum with $100 \%$ excess bandwidth. The minimum value of M is __________
An M-level PSK modulation scheme is used to transmit independent binary digits over a band-pass channel with bandwidth $100$ kHz. The bit rate is $200$ kbps and the syste...
soujanyareddy13
100
points
114
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2014-ec-4
numerical-answers
communications
phase-shift-keying
+
–
0
votes
0
answers
16
GATE ECE 2014 Set 1 | Question: 51
Let $Q(\sqrt{\gamma})$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density $N_{0}/2.$ The parameter $\gamma$ is a function of bit energy and noise power spectral density. A system with two independent and identical ... both the channels. If the BER of this system is $Q( b \sqrt{\gamma})$ then the value of $b$ is _____.
Let $Q(\sqrt{\gamma})$ be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density $N_{0}/2.$ The parameter $\gamma$ is a function of bit...
soujanyareddy13
100
points
146
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2014-ec-1
numerical-answers
communications
digital-modulation
basic-electrical-rhythm
+
–
0
votes
0
answers
17
GATE ECE 2017 Set 2 | Question: 23
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer is $40$ dB. The minimum number of bits per sample needed to achieve the desired SQNR is __________
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer ...
soujanyareddy13
100
points
454
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2017-ec-2
digital-communications
numerical-answers
pulse-code-modulation
+
–
0
votes
0
answers
18
GATE ECE 2019 | Question: 46
A voice signal $m(t)$ is in the frequency range $5\:kHz$ to $15\:kHz$. The signal is amplitude-modulated to generated an AM signal $f(t)=A\left(1+m(t)\right)\cos 2\pi f_{c}t,$ where $f_{c}=600\: kHz.$ ... for the encoding. The rate, in Megabits per second (rounded off to $2$ decimal places), of the resulting stream of coded bits is ________ Mbps.
A voice signal $m(t)$ is in the frequency range $5\:kHz$ to $15\:kHz$. The signal is amplitude-modulated to generated an AM signal $f(t)=A\left(1+m(t)\right)\cos 2\pi f_{...
soujanyareddy13
100
points
191
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2019-ec
numerical-answers
communications
amplitude-modulation
+
–
0
votes
0
answers
19
GATE ECE 2013 | Question: 49
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. The optimum threshold to achieve minimum bit error rate $(BER)$ is $\frac{1}{2} \\$ $\frac{4}{5} \\$ $1\\$ $\frac{3}{2} $
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below.The optimum threshol...
soujanyareddy13
100
points
137
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2013-ec
communications
digital-modulation
basic-electrical-rhythm
+
–
0
votes
0
answers
20
GATE ECE 2013 | Question: 48
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective received signals for both bits are as shown below. If the detection threshold is $1,$ the $BER$ will be $\frac{1}{2} \\ $ $\frac{1}{4} \\$ $\frac{1}{8} \\$ $\frac{1}{16}$
Bits $1$ and $0$ are transmitted with equal probability. At the receiver, the pdf of the respective receivedsignals for both bits are as shown below.If the detection thre...
soujanyareddy13
100
points
118
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2013-ec
communications
basic-electrical-rhythm
digital-modulation
+
–
0
votes
0
answers
21
GATE ECE 2013 | Question: 47
Let $U$ and $V$ be two independent and identically distributed random variables such that $P(U=+1)=P(U=-1) = \dfrac{1}{2}.$ The entropy $H(U + V)$ in bits is $\frac{3}{4} \\$ $1$ $\frac{3}{2} \\$ $\log_{2}3$
Let $U$ and $V$ be two independent and identically distributed random variables such that $P(U=+1)=P(U=-1) = \dfrac{1}{2}.$ The entropy $H(U + V)$ in bits is$\frac{3}{4} ...
soujanyareddy13
100
points
119
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2013-ec
communications
entropy
+
–
0
votes
0
answers
22
GATE ECE 2012 | Question: 39
The signal $m(t)$ as shown is applied both to a phase modulator (with $k_p$ as the phase constant) and a frequency modulator (with $k_f$ as the frequency constant) having the same carrier frequency. The ratio $\frac{k_p}{k_f}$ (in $rad/Hz$) for the same maximum phase deviation is $8\pi$ $4\pi$ $2\pi$ $\pi$
The signal $m(t)$ as shown is applied both to a phase modulator (with $k_p$ as the phase constant) and a frequency modulator (with $k_f$ as the frequency constant) having...
soujanyareddy13
100
points
147
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2012-ec
communications
frequency-modulation
+
–
0
votes
0
answers
23
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}})$
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)$ a...
soujanyareddy13
100
points
96
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2012-ec
communications
autocorrelation-and-power-spectral-density
+
–
0
votes
0
answers
24
GATE ECE 2017 Set 2 | Question: 21
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
soujanyareddy13
100
points
340
views
soujanyareddy13
edited
Nov 17, 2020
Communications
gate2017-ec-2
channel-capacity-theorem
communications
+
–
0
votes
0
answers
25
GATE ECE 2016 Set 2 | Question: 49
An ideal band-pass channel $500 \: Hz –2000 \:Hz$ is deployed for communication. A modem is designed to transmit bits at the rate of $4800$ bits/s using $16-QAM$. The roll-off factor of a pulse with a raised cosine spectrum that utilizes the entire frequency band is __________
An ideal band-pass channel $500 \: Hz –2000 \:Hz$ is deployed for communication. A modem is designed to transmit bits at the rate of $4800$ bits/s using $16-QAM$. The r...
soujanyareddy13
100
points
152
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2016-ec-2
numerical-answers
communications
+
–
0
votes
0
answers
26
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 ___________.
A real band-limited random process $X(t)$ has two-sided power spectral density$$S_{X}(f)= \begin{cases} 10^{-6} (3000-\mid f \mid) \text{Watts/Hz} & \text{for } \mid f \...
soujanyareddy13
100
points
208
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2014-ec-3
numerical-answers
autocorrelation-and-power-spectral-density
communications
+
–
0
votes
0
answers
27
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 _________
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...
soujanyareddy13
100
points
116
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2016-ec-2
numerical-answers
communications
autocorrelation-and-power-spectral-density
+
–
0
votes
0
answers
28
GATE ECE 2017 Set 2 | Question: 51
A modulating signal given by $x(t)=5\sin (4\pi 10^3t -10\pi \cos 2\pi 10^3t)V$ is fed to a phase modulator with phase deviation constant $k_p=5$ rad/V. If the carrier frequency is $20$ kHz, the instantaneous frequency(in kHz) at $t=0.5$ ms is ____________
A modulating signal given by $x(t)=5\sin (4\pi 10^3t -10\pi \cos 2\pi 10^3t)V$ is fed to a phase modulator with phase deviation constant $k_p=5$ rad/V. If the carrier f...
soujanyareddy13
100
points
117
views
soujanyareddy13
retagged
Nov 17, 2020
Communications
gate2017-ec-2
numerical-answers
communications
+
–
0
votes
0
answers
29
GATE ECE 2016 Set 1 | Question: 49
A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is repeated three times ($0$ is transmitted as $000$, and $1$ is transmitted as $111$). It is assumed that the source puts ... a $1$. Assuming a binary symmetric channel with crossover probability $p=0.1$, the average probability of error is _________
A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is repeated three times ($0$ is transmitted as $000$, a...
soujanyareddy13
100
points
419
views
soujanyareddy13
recategorized
Nov 15, 2020
Communications
gate2016-ec-1
numerical-answers
digital-communications
communications
+
–
0
votes
0
answers
30
GATE ECE 2016 Set 3 | Question: 23
A binary baseband digital communication system employs the signal $p(t) = \begin{cases}\large\frac{1}{\sqrt T_s},&0\leq t\leq T_s \\ \: 0, & \text{otherwise} \end{cases}$ for transmission of bits. The graphical representation of the matched filter output $y(t)$ for this signal will be
A binary baseband digital communication system employs the signal $$p(t) = \begin{cases}\large\frac{1}{\sqrt T_s},&0\leq t\leq T_s \\ \: 0, & \text{otherwise} \end{cases}...
soujanyareddy13
100
points
130
views
soujanyareddy13
recategorized
Nov 15, 2020
Communications
gate2016-ec-3
digital-communications
communications
+
–
0
votes
0
answers
31
GATE ECE 2016 Set 2 | Question: 22
A speech signal is sampled at $8$ $kHz$ and encoded into $PCM$ format using $8$ bits/sample. The $PCM$ data is transmitted through a baseband channel via $4$-level $PAM$. The minimum bandwidth (in $kHz$) required for transmission is _________
A speech signal is sampled at $8$ $kHz$ and encoded into $PCM$ format using $8$ bits/sample. The $PCM$ data is transmitted through a baseband channel via $4$-level $PAM$....
soujanyareddy13
100
points
107
views
soujanyareddy13
recategorized
Nov 15, 2020
Communications
gate2016-ec-2
numerical-answers
digital-communications
pulse-code-modulation-systems
communications
+
–
0
votes
0
answers
32
GATE ECE 2015 Set 2 | Question: 51
Consider a binary, digital communication system which uses pulses $g(t)$ and $-g(t)$ for transmitting bits over an AWGN channel. If the receiver uses a matched filter, which one of the following pulses will give the minimum probability of bit error?
Consider a binary, digital communication system which uses pulses $g(t)$ and $-g(t)$ for transmitting bits over an AWGN channel. If the receiver uses a matched filter, wh...
soujanyareddy13
100
points
188
views
soujanyareddy13
recategorized
Nov 15, 2020
Communications
gate2015-ec-2
digital-communications
communications
+
–
0
votes
0
answers
33
GATE ECE 2018 | Question: 17
A binary source generates symbols $X\in \left \{ -1,1 \right \}$ which are transmitted over a noisy channel.The probability of transmitting $X=1$ is $0.5.$ Input to the threshold detector is $R=X+N$ ... is shown below. If the detection threshold is zero, then the probability of error (correct to two decimal places) is __________.
A binary source generates symbols $X\in \left \{ -1,1 \right \}$ which are transmitted over a noisy channel.The probability of transmitting $X=1$ is $0.5.$ Input to the t...
soujanyareddy13
100
points
133
views
soujanyareddy13
recategorized
Nov 15, 2020
Communications
gate2018-ec
numerical-answers
probability-density-function
communications
+
–
0
votes
0
answers
34
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 $P_{b}$? $0$ $1$ $2$ $3$
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 signali...
soujanyareddy13
100
points
146
views
soujanyareddy13
recategorized
Nov 15, 2020
Communications
gate2019-ec
gaussian-noise
autocorrelation-and-power-spectral-density
communications
+
–
0
votes
0
answers
35
GATE ECE 2020 | Question: 12
A digital communication system transmits a block of $N$ bits. The probability of error in decoding a bit is $\alpha$. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of its bits is decoded ... $\alpha ^{N}$ $1-\alpha ^{N}$ $1-\left ( 1-\alpha \right )^{N}$
A digital communication system transmits a block of $N$ bits. The probability of error in decoding a bit is $\alpha$. The error event of each bit is independent of the er...
soujanyareddy13
100
points
354
views
soujanyareddy13
recategorized
Nov 15, 2020
Communications
gate2020-ec
digital-communications
communications
+
–
0
votes
0
answers
36
GATE ECE 2020 | Question: 48
In a digital communication system, a symbol $S$ randomly chosen from the set $\left \{ s_{1},s_{2},s_{3},s_{4} \right \}$ is transmitted. It is given that $s_{1}=-3,s_{2}=-1,s_{3}=+1$ and $s_{4}=+2$. The received ... decoding when the transmitted symbol $S=s_{i}$. The index $i$ for which the conditional symbol error probability $P_{i}$ is the highest is ___________.
In a digital communication system, a symbol $S$ randomly chosen from the set $\left \{ s_{1},s_{2},s_{3},s_{4} \right \}$ is transmitted. It is given that $s_{1}=-3,s_{2}...
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37
GATE ECE 2020 | Question: 8
The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the output voltage $V_{o}$ is a non-inverted sine wave of $2$ $\text{V}$ amplitude. an inverted sine ... . a square wave of $5$ $\text{V}$ amplitude. a constant of either $+5$ $\text{V}$ or $-5$ $\text{V}$.
The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the o...
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Communications
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communications
amplitude
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38
GATE ECE 2019 | Question: 7
A linear Hamming code is used to map $4-bit$ message to $7-bit$ codewords. The encoder mapping is linear. If the message $0001$ is mapped to the codeword $0000111$, and the message $0011$ is mapped to the codeword $1100110$, then the message $0010$ is mapped to $0010011$ $1100001$ $1111000$ $1111111$
A linear Hamming code is used to map $4-bit$ message to $7-bit$ codewords. The encoder mapping is linear. If the message $0001$ is mapped to the codeword $0000111$, and t...
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hamming-codes
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39
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).
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(...
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numerical-answers
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autocorrelation-and-power-spectral-density
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40
GATE ECE 2019 | Question: 55
In the circuit shown, $V_{1}=0$ and $V_{2}=V_{dd}.$ The other relevant parameters are mentioned in the figure. Ignoring the effect of channel length modulation and the body effect, the value of $I_{out}$ is _________ $mA$ (rounded off to $1$ decimal place).
In the circuit shown, $V_{1}=0$ and $V_{2}=V_{dd}.$ The other relevant parameters are mentioned in the figure. Ignoring the effect of channel length modulation and the bo...
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101
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numerical-answers
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