Convolution in Continious time

1. What is continuous time convolution?
2. What is convolution in discrete time?
3. Why convolution is used in LTI?

What is continuous time convolution?

The operation of continuous time circular convolution is defined such that it performs this function for finite length and periodic continuous time signals. In each case, the output of the system is the convolution or circular convolution of the input signal with the unit impulse response.

What is convolution in discrete time?

The Discrete-Time Convolution (DTC) is one of the most important operations in a discrete-time signal analysis. The operation relates the output sequence y(n) of a linear-time invariant (LTI) system, with the input sequence x(n) and the unit sample sequence h(n), as shown in Fig.

Why convolution is used in LTI?

Convolution is an incredibly useful operation because it can be used to predict the output of an LTI system to any input.