This example defines a simple system, where the output signal at each time depends only on the input at that time. Such systems are said to be memoryless because you do not have to remember previous values (or future values, for that matter) of the input in order to determine the current value of the output.

What is a memoryless system?

Memoryless. A system is memoryless if its output at a given time is dependent only on the input at that same time, i.e., at time depends only on at time ; at time depends only on at time . A memoryless system does not have memory to store any input values because it just operates on the current input.

Which of the following is an example of memoryless system?

Example of a memoryless system: Resistor v(t₀) = R i(t₀); the voltage at time t₀ depends only on the current at time t₀. ; the voltage depends on past values of the current so a capacitor has memory.