Whether $y(t) = x(t/3)$ is a memoryless system?

1. How do you know if a function is memoryless?
2. What makes a system memoryless?
3. Is X (- N memoryless?
4. Are all causal systems memoryless?

How do you know if a function is memoryless?

If h(t) = a d (t), for some real constant a, then the system is memoryless. In other words, a constant-gain system is a memoryless system .

What makes a system memoryless?

A system is memoryless if its output at a given time is dependent only on the input at that same time, i.e., at time depends only on at time ; at time depends only on at time . A memoryless system does not have memory to store any input values because it just operates on the current input.

Is X (- N memoryless?

It is not memoryless.

Are all causal systems memoryless?

If a system is memoryless, it is also causal. However, being causal does not necessarily imply that a system is memoryless. In fact, most causal systems do have memory.