Memory Less
-DEFINITION: A System is memory less if and only if for any $ t_o $ (in the set of all REAL #'s), the output [y($ t_o $)] depends only on the input [x($ t_o $)].
- i.e. If $ \bar{x} $(t) is equal to x(t) at t = $ t_o $, then $ \bar{y} $($ t_o $) = y($ t_o $)
-A System is memoryless if and only if output y(t) depends on PRESENT values of x(t).
Examples:
- y(t) = x(t) + x(t-1)...... is NON MEMORYLESS.
- y(t) = 2x(t).............. is MEMORYLESS b/c it depends only on present values of "t".
- y(t) = x(t+1)............. is NON MEMORYLESS.
- y(t) = (t+1) + x(t)....... is MEMORYLESS b/c "(t+1)" has no effect on x(t).
- y[n] = x[n-1]............. is NON MEMORYLESS.
