Memoryless System
This is a very straightforward system. It means that the value of the output can only depend on the current time. If the value of the output depends on either the past or the future, then the system is said to have memory.
An example of a system that is memoryless would be a resistive circuit. Take a simple voltage divider with a gain of 0.5 for example. The mathematical model of the this system would be y(t)=0.5*x(t). This is memoryless because at time t, the output only depends on t.
An example of a system that is not memoryless would be a time delay circuit. A mathematical model of the circuit would be y(t)=x(t-T) where T is the amount of time the input signal is delayed by. This system is obviously not memoryless because at any point in time, t, the output signal depends on the input signal T time units ago. There for the signal is not memoryless.
--Asiembid 23:28, 1 July 2009 (UTC)
