11. 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
12. Capacity of each channel in FDMA is given by
13. 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.
14. Conveniently information I(x) is expressed as:
15. 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
| 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 |
16. Find the channel capacity (in MHz), if the channel bandwidth is 20MHz having signal to noise ratio 1023dB?
17. 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
18. 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
19. An event has two possible outcomes with probability $${P_1} = \frac{1}{2},\,{P_2} = \frac{1}{{64}}.$$ The rate of information with 16 outcomes per second is:
20. 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 $$\frac{1}{8},\,\frac{1}{8},\,\frac{3}{8}$$ and $$\frac{3}{8}.$$ The information rate of the source is:
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