Properties of lti system

1. What is LTI system and its properties?
2. What are the three special properties that only LTI systems follow?
3. What are the properties of continuous time LTI system?
4. What three properties must a linear time-invariant LTI system have?

What is LTI system and its properties?

LTI systems are those that are both linear and time-invariant. Linear systems have the property that the output is linearly related to the input. Changing the input in a linear way will change the output in the same linear way.

What are the three special properties that only LTI systems follow?

What are the three special properties that only LTI systems follow? Explanation: Commutative property, Distributive property, Associative property are the unique properties of LTI systems which are special representations in terms of convolution and integrals.

What are the properties of continuous time LTI system?

We saw that input/output properties of an LTI system are completely determined by the system's impulse response h(t). We also saw that the output y(t) = x(t) * h(t), that is, the output of the system is simply the convolution of the input with the system's impulse response.

What three properties must a linear time-invariant LTI system have?

The three basic properties of convolution as an algebraic operation are that it is commutative, associative, and distributive over addition. The commutative property means simply that x convolved with h is identical with h convolved with x.