Howtosignalprocessing
- What is convolution in impulse response?
- What is the significance of impulse response of a system?
- Is the impulse response the same as convolution?
- What is the significance of causality of LTI systems explain?
What is convolution in impulse response?
Convolution is a very powerful technique that can be used to calculate the zero state response (i.e., the response to an input when the system has zero initial conditions) of a system to an arbitrary input by using the impulse response of a system. It uses the power of linearity and superposition.
What is the significance of impulse response of a system?
The impulse response of a system is important because the response of a system to any arbitrary input can calculated from the system impulse response using a convolution integral.
Is the impulse response the same as convolution?
Actually, the output signal function Y(t) is considered as the convolution of two functions: the input signal function X(t), and the impulse response function h(t) of the unit, the latter being dependent on its constructional details (e.g. of the input capacitance).
What is the significance of causality of LTI systems explain?
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.
