y(n) = x[n – 2] – 2x[n

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y(n) = x[n – 2] – 2x[n – 7] is a—

1. Discrete time dynamic system
2. Discrete time static system
3. System of less memory
4. None of these

Correct Option: A

The system, y[n] = x[n – 2] – 2x[n – 7] is discrete time system and here the present output y[n] is dependent on previous inputs viz., x[n – 2] and x[n – 7] i.e., in the given system delay elements are present. Hence, the system is dynamic.