Question

Q.1. A discrete-time system is defined by an input-output relation as; $y(n) = \sum_{k=2}^{n+2} x(k-2)$ Determine whether this system has the properties given below. i) Memoryless, ii) Causal, iii) Stable, iv) Linear, v) Time-invariant.

          Q.1. A discrete-time system is defined by an input-output relation as;

$y(n) = \sum_{k=2}^{n+2} x(k-2)$

Determine whether this system has the properties given below.
i) Memoryless, ii) Causal, iii) Stable, iv) Linear, v) Time-invariant.

Q.1. A discrete-time system is defined by an input-output relation as;

y(n) = ∑k=2^n+2 x(k-2)

Determine whether this system has the properties given below.
i) Memoryless, ii) Causal, iii) Stable, iv) Linear, v) Time-invariant.

Added by Andrew V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Gopal Sharma

Step 1

In this case, the system equation is n + 2k = 2. Since the output (2) depends only on the input (n and k) at that same time, we can say that this system is memoryless. ii) Causal: A system is causal if its output at any given time depends only on the input at Show more…

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