KERALA UNIVERSITY Class 7 information theory and coding Question Paper 2019
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Sample Questions
- A $(7,4)$ cyclic codes has a generator polynomial: $g(X)=X^{3}+X+1$ (a) Draw the block diagram of encoder and syndrome calculator
- A $(7,4)$ cyclic codes has a generator polynomial: $g(X)=X^{3}+X+1$ (b) Find the generator and parity matrices in systematic form.
- Derive the expression for the channel capacity of a binary erasure channel (BEC). (10) ( $\mathbf{2} \boldsymbol{\times} \mathbf{1 0} \boldsymbol{=} \mathbf{2 0}$ Marks)
- Find the code efficiency and code redundancy for the given probability as shown below | Probability | $9 / 32$ | $3 / 32$ | $1 / 16$ | $3 / 32$ | $3 / 32$ | $3 / 32$ | $9 / 32$ | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |
- Obtain the relation between Entropy and Mutual information.
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