91. The information capacity (bits/sec) of a channel with bandwidth W MHz and transmission time T is given by
92. A binary source in which 0's occurs 3 times as often as 1's. Then its entropy in bits/symbol will be
93. Match List-I with List-II and select the correct answer using the options given below the lists:
List-I (Theorem/law)
List-II (Specified Quantity)
a. Shannon source theorem
1. Channel capacity coding
b. Dimensionality theorem
2. Storage space of a signal
c. Wiener-Kintchine theorem
3. Power spectral density of random process
d. Shannon-Hartley law
4. Optimum code length
| List-I (Theorem/law) | List-II (Specified Quantity) |
| a. Shannon source theorem | 1. Channel capacity coding |
| b. Dimensionality theorem | 2. Storage space of a signal |
| c. Wiener-Kintchine theorem | 3. Power spectral density of random process |
| d. Shannon-Hartley law | 4. Optimum code length |
94. An image uses 512 × 512 picture elements. Each of the picture elements can take any of the 8 distinguishable intensity levels. The maximum entropy in the above image will be
95. Shannon Hartley law
96. A source produces 4 symbols with probabilities $$\frac{1}{2}$$, $$\frac{1}{4}$$, $$\frac{1}{8}$$ and $$\frac{1}{8}$$. For this source, a practical coding scheme has an average code word length of 2 bits/symbol. The efficiency of the code is:
97. A source generates four messages m1, m2, m3 and m4, with probabilities 0.5, 0.25, 0.125 and 0.125 respectively. The messages are generated independently of each other. A source coder assigns binary code to each message. Which of the following codes has minimum average length and is also uniquely decodable (sequence as per m1, m2, m3, m4)?
98. If the minimum possible length and average length of a coding scheme are 2.418 and 2.45 bits respectively. Then its code efficiency and redundancy are
99. The purpose of source coding is to
100. Data rate R and information rate Rt are different because of
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