Memoryless System & System with Memory
- A system is memoryless if for any t0, the output y(t0) only depends on the present input, x(t0).
The output doesn't depend on past or future input, x(t0 + k) for any integer k.
- A system is a system with memory if for any t0,
the output y(t0) depends on not only the present input, x(t0) but also the past or future, x(t0 + k) for any integer k.