Lecture 4.22: SnS- LTI System - Applications of Fourier Transform

One application of Fourier Transform is to deal with an LTI system. Response of LTI is convolution between the input signal,x(t) with the impulse response of the system, h(t) (which is equal to x(t)*h(t)). In time domain, convolution can be solved using graphical method that is a complex calculation. Using convolution property of Fourier transform, convolution process can be simplified just a simple multiplication in frequency domain. This mean, the input signal, X(W) just multiply with the system function, H(w) (which is equal to X(W).H(w)). In order to determine the response of the LTI system in time domain, we can just do inverse Fourier Transform.

[jaipreetkaur]

This video is about application of fourier transform in the LTI system. The response of LTI is convolution between the input signal, x(t) with the impulse response of the system, h(t) . Convolution process can be simplified just a simple multiplication in frequency domain which means, the input signal, X(W) just multiply with the system function, H(w).

[asmaakhalidah]

This video shows the response of LTI system between the input signal x(t) with the impulse response of the system h(t). Student just needs to multiply the input signal with the system function which meant x(t).h(t). That's all, thank you, Dr. Ansar :)

[nursalimah]

In this video has explain the response of LTI system between the input signal x(t) with impulse response of the system h(t). we need to multiply the input signal with the system function that's meant x(t).h(t). that's all thank you dr ansar

[aditidalvi]

Why do we take inverse Fourier transform on both sides ?? Pls reply asap