Howtosignalprocessing
- What is the convolution of signal with an impulse?
- Is the impulse response the same as convolution?
- How do you find the impulse response of a system using convolution?
- What is the input for impulse response?
What is the convolution of signal with an impulse?
Convolution with an impulse: sifting and convolution
Another important property of the impulse is that convolution of a function with a shifted impulse (at a time t=T0 ) yields a shifted version of that function (also shifted by T0). We prove this by using the definition of convolution (first line, below).
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).
How do you find the impulse response of a system using convolution?
Given the system equation, you can find the impulse response just by feeding x[n] = δ[n] into the system. If the system is linear and time-invariant (terms we'll define later), then you can use the impulse response to find the output for any input, using a method called convolution that we'll learn in two weeks.
What is the input for impulse response?
Input types
An impulse input is a very high pulse applied to a system over a very short time (i.e., it is not maintained). That is, the magnitude of the input approaches infinity while the time approaches zero.
