Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure. The channel is
A. Lossless
B. Noiseless
C. Useless
D. Deterministic
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While decoding the cyclic code, if the received code word is similar as transmitted code word, then r(x) mod g(x) is equal to . . . . . . . .
A. Zero
B. Unity
C. Infinity
D. None of the above
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For a received sequence of 6 bits, which decoding mechanism deals with the selection of best correlated sequence especially by correlating the received sequence and all permissible sequences?
A. Soft Decision Decoding
B. Hard Decision Decoding
C. Both A and B
D. None of the above
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Binary Huffman coding is a
A. Prefix condition code
B. Suffix condition code
C. Prefix & Suffix condition code
D. None of the mentioned
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In discrete memoryless source, the current letter produced by a source is statistically independent of . . . . . . . .
A. Past output
B. Future output
C. Both A and B
D. None of the above
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The capacity of a binary symmetric channel, given H(P) is binary entropy function is
A. 1 - H(P)
B. H(P) - 1
C. 1 - H(P)2
D. H(P)2 - 1
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When the channel is noisy, producing a conditional probability of error p = 0.5; the channel capacity and entropy function would be, respectively.
A. 1 and 1
B. 1 and 0.5
C. 0.5 and 1
D. zero and 1
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A source generates three symbol m0 , m1 , m2 with probabilities 0.5, 0.25, 0.5, then find entropy?
A. 4 5 bits/symbol
B. 4 3 bits/symbol
C. 2 3 bits/symbol
D. 2 9 bits/symbol
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Shannon's law relates which of the following?
A. Noise power to bandwidth
B. Antenna gain to frequency
C. Transmission losses to noise
D. Information-carrying capacity to S/N ratio
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A source produce 26 symbols with equal probability. What is the average information produced by this source?
A. < 4 bits/symbol
B. 6 bits/symbol
C. 8 bits/symbol
D. Between 4 and 6 bits/symbol
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A discrete memory less source has two symbols x1 and x2 with probabilities p(x1 ) and p(x2 ) respectively, then the entropy of the source
H(X) is
A. H(X) = p(x1 )log10 p(x1 ) + p(x2 )log10 p(x2 )
B. H(X) = -p(x1 )log10 p(x1 ) - p(x2 )log10 p(x2 )
C. H(X) = -p(x1 )log2 p(x1 ) - p(x2 )log2 p (x2 )
D. H(X) = p(x1 )log2 p(x1 ) + p(x2 )log2 p(x2 )
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Capacity of each channel in FDMA is given by
A. C = W . log 2 ( 1 + N S )
B. C = M . log 2 ( 1 + N S )
C. C = M W log 2 ( 1 + N S )
D. C = log 2 ( 1 + N S )
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The channel capacity under the Gaussian noise environment for a discrete memory less channel with a bandwidth of 4 MHz and SNR of 31 is.
A. 20 Mbps
B. 4 Mbps
C. 8 kbps
D. 4 kbps
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Conveniently information I(x) is expressed as:
A. (-) log10 p(x) Hartleys
B. log10 p(x) Hartleys
C. log2 p(x) Hartleys
D. 2log10 p ( x ) 1 Hartleys
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Match
List-I with
List-II and select the correct answer using the options given below the lists:
List-I
List-II
a. Entropy coding
1. McMillan's Rule
b. Channel capacity
2. Redundancy
c. Minimum length code
3. Shannon Fano
d. Equivocation
4. Shannon law
A. a-1, b-2, c-3, d-4
B. a-3, b-4, c-1, d-2
C. a-1, b-4, c-3, d-2
D. a-3, b-2, c-1, d-4
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Find the channel capacity (in MHz), if the channel bandwidth is 20MHz having signal to noise ratio 1023dB?
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Consider a noisy binary channel with bit error probability pe = 5 × 10-5 . Assume 10000 bits are being transmitted over such a channel. The probability that there will be 2 or less number of bits in error is
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A communication channel with AWGN operating at a signal to noise ratio SNR >> 1 and bandwidth B has capacity C1 . If the SNR is doubled keeping B constant, the resulting capacity C2 is given by
A. C2 ≈ 2C1
B. C2 ≈ C1 + B
C. C2 ≈ C1 + 2B
D. C2 ≈ C1 + 0.3B
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An event has two possible outcomes with probability P 1 = 2 1 , P 2 = 64 1 . The rate of information with 16 outcomes per second is:
A. 4 38 bits/sec
B. 64 38 bits/sec
C. 2 38 bits/sec
D. 32 38 bits/sec
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An analog signal is band limited to 4 kHz. It is sampled at the Nyquist rate and samples are quantized into 4 levels. The quantization levels have probabilities 8 1 , 8 1 , 8 3 and 8 3 . The information rate of the source is:
A. 15400 bps
B. 4000 bps
C. 14400 bps
D. 16000 bps
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