Signals in Natural Domain
Chapter 3 :  Discrete-Time Systems
 
Systems with or without memory:
A system is said to be memoryless if the output for each value of the independent variable at a given time n depends only on the input value at time n. For example system specified by the relationship
y[n] = cos (x[n]) + 3
is memoryless. A particularly simple memoryless system is the identity system defined by
y[n] = x[n]
In general we can write input-output relationship for memoryless system as
y[n] = g(x[n])
Not all systems are memoryless. A simple example of system with memory is a delay defined by
y[n] = x[n-1]
A system with memory retains or stores information about input values at times other than the current input value.