Memoryless Systems


A system is said to be memoryless if the output for each value of the independent variable at a given time is dependent only on the input at that very time. It does not depend on past or future samples info.

Example:

  y(t)=2(x(t)).
This defines a memoryless system because the ouput y(t) depends on the input,only at time t. Not (t-1) or (t+1).

Systems with Memory


A system is said to have memory when it retains or stores information about input values at times other than the current time.

Example:

y(t)=x(t-3).

This defines a system with memory because the ouput depends on values of future inputs.

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