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Electronics and Communication Signal Processing Difficulty: Medium

Consider the following statements for a system given by $$y\left( n \right) = x\left( n \right)\sum\nolimits_{k = - \infty }^\infty {\delta \left( {n - 3k} \right)} .$$ 1. The system is linear. 2. The system is non-linear. 3. The system is causal. 4. The system is non-causal. Which of the above statements is/are correct?

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