LTI System with and without memory

memoryless depends on the present, that is the output at any time depends only on the value of the input at that same time.

for example y(t) = x(t-1) is not memoryless because it depends on the past Since when y(1) =x(0), the output at that specific time does not have to depend on the value of the input. another example y(t) = 2x(t) is memoryless because it is in the present Since y(1) = 2x(1) this shows the output and the input are the same time.

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal