Recent questions tagged digital-communications

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The number of bits in a binary $\mathrm{PCM}$ system is increased from $n$ to $n+1$. As a result, the signal to quantization noise ratio will improve by a factor$\frac{n+...
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(a) Capture effect is (b) Granular noise(c) Guard band isan $\text{AM}$ system a characteristics ofan $\text{FM}$ system occurs ina $\text{DM}$ system required ina $\text...
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The bandwidth required for the transmission of a $\text{PCM}$ signal increases by a factor of _________ when the number of quantization levels is increased from $4$ to $6...
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(a) Single side band(1) Envelope detector(b) Amplitude(2) Integrate and dump modulation(c) Binary phase-shift(3) Hilbert transform keying (4) Ratio detector (5) Phase-loc...
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The raised cosine pulse $p(t)$ is used for zero ISI in digital communications. The expression for $p(t)$ with unity roll-off factor is given by $p(t)=\dfrac{\sin 4 \pi W ...
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During transmission over a certain binary communication channel, bit errors occur independently with probability $p$. The probability of AT MOST one bit in error in a blo...
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In a GSM system, $8$ channels can co-exist in $200 \; \mathrm{kHz}$ bandwidth using TDMA. A GSM based cellular operator is allocated $5 \; \mathrm{MHz}$ bandwidth. Assumi...
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In a Direct Sequence CDMA system the chip rate is $1.2288 \times 10^{6}$ chips per second. If the processing gain is desired to be AT LEAST $100,$ the data ratemust be le...
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Two $4$-ary signal constellations are shown. It is given that $\phi_{1}$ and $\phi_{2}$ constitute an orthonormal basis for the two constellations. Assume that the four s...
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Two $4$-ary signal constellations are shown. It is given that $\phi_{1}$ and $\phi_{2}$ constitute an orthonormal basis for the two constellations. Assume that the four s...
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Consider a Binary Symmetric Channel (BSC) with probability of error being $p$. To transmit a bit, say $1,$ we transmit a sequence of three $1\text{s}.$ The receiver will ...
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A speech signal, band limited to $4 \; \mathrm{kHz}$ and peak voltage varying between $+5 \mathrm{V}$ and $-5 \mathrm{V}$, is sampled at the Nyquist rate. Each sample is ...
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Statement for Linked Answer Questions 54 and 55:Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral densit...
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The bit stream $01001$ is differentially encoded using $\text{'Delay and Ex OR'}$ scheme for $\text{DPSK}$ transmission. Assuming the reference bit as a $'1'$ and assigni...
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Coherent demodulation of $\text{FSK}$ signal can be effected usingcorrelation receiverBandpass filters and envelope detectorsmatched filterdiscriminator detection.
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Source encoding in a data communication system is done is order toenhance the information transmission ratereduce the transmission errorsconserve the transmitted powerfac...
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For the signal constellation shown in figure below, the type of modulation is ___________.
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A four-phase and an eight-phase signal constellation are shown in the figure below.For the constraint that the minimum distance between pairs of signal points be $d$ for ...
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A four-phase and an eight-phase signal constellation are shown in the figure below. Assuming high $\text{SNR}$ and that all signals are equally probable, the additional a...
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A symbol stream contains alternate $\text{QPSK}$ and $\text{16-QAM}$ symbols. If symbols from this stream are transmitted at the rate of $1$ mega-symbols per second, the ...
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Consider communication over a memoryless binary symmetric channel using a $(7, 4)$ Hamming code. Each transmitted bit is received correctly with probability $(1 – \in),$ ...
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A digital transmission system uses a ($7,4$) systematic linear Hamming code for transmitting data over a noisy channel. If three of the message-codeword pairs in this cod...
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A message signal having peak-to-peak value of $2\:V$, root mean square value of $0.1\:V$ and bandwidth of $\text{5 kHz}$ is sampled and fed to a pulse code modulation ($\...
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Consider a polar non-return to zero ($\text{NRZ}$) waveform, using $+2\:V$ and $-2\:V$ for representing binary ‘$1$’ and ‘$0$’ respectively, is transmitted in the presenc...
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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...
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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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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}...
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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 $PAM$....
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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 rol...
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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...