Howtosignalprocessing
- How do you calculate the output of an LTI system?
- What is the causality condition for an LTI system?
- Why convolution is applicable on LTI systems only?
- What is convolution in a LTI system?
How do you calculate the output of an LTI system?
The output of any LTI system can be calculated using the input and the impulse function for that system. Convolution has many important properties: Commutativity: x ( t ) ∗ h ( t ) = h ( t ) ∗ x ( t ) x(t) \ast h(t) = h(t) \ast x(t) x(t)∗h(t)=h(t)∗x(t)
What is the causality condition for an LTI system?
An LTI system is called causal if the output signal value at any time t depends only on input signal values for times less than t. It is easy to see from the convolution integral that if h(t) = 0 for t < 0, then the system is causal.
Why convolution is applicable on LTI systems only?
Convolution is an incredibly useful operation because it can be used to predict the output of an LTI system to any input.
What is convolution in a LTI system?
Therefore, in signals and systems, the convolution is very important because it relates the input signal and the impulse response of the system to produce the output signal from the system. In other words, the convolution is used to express the input and output relationship of an LTI system.
