00:01
Hello students, the magnitude and phase changes caused by a bandpass filter and those created by the laplace transform implementation of the filter are similar because both approaches deal with frequency domain analysis.
00:22
Let's explain this more further.
00:32
A bandpass filter, it is designed to allow a specific range of frequencies to pass through while attenuating frequencies outside that range.
01:23
So it is typically has a pass band region where the signal is relatively unattenuated and stop band region where the signal is heavily attenuated.
01:46
Here the signal is unattenuated while at the stop band region the signal is attenuated.
02:14
So the shape of frequency response curve of a bandpass filter dictates how it explains how the magnitude and phase of input signal are affected at different frequencies.
02:50
Now on the other hand a laplace transform is a mathematical tool that can be used to analyze linear time invariant system.
03:30
So it includes filters in the s domain.
03:32
So by transforming the time domain equations of the filter into the s domain, s domain, we can analyze its behavior as a function of frequency.
04:09
Now let's talk about magnitude and phase changes are similar between the bandpass filter and its laplace transform...