The aim of this filter was to design a Digital Butterworth Filter using the input specifications like Attenuation in pass band Ap, Attenuation in stop As, Pass band Frequency Wp, Stop band Frequency Ws, and Sampling Frequency Fs.
The magnitude and pole-zero plot was plotted for both low pass filter and high pass filter. The input specifications were verified both theoretically and graphically. Also, as the Order of the filter is increased the response becomes more accurate.Another observation is that, the poles of Butterworth filter lie on the circle, while the poles of Chebyshev Filter lie in ellipse.
https://drive.google.com/drive/folders/0B9Ily3Urp8vgaENSN21GN0Rtc00
The magnitude and pole-zero plot was plotted for both low pass filter and high pass filter. The input specifications were verified both theoretically and graphically. Also, as the Order of the filter is increased the response becomes more accurate.Another observation is that, the poles of Butterworth filter lie on the circle, while the poles of Chebyshev Filter lie in ellipse.
https://drive.google.com/drive/folders/0B9Ily3Urp8vgaENSN21GN0Rtc00
With higher order, the magnitude response became sharper and started resembling the ideal filter more closely.
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ReplyDeleteI agree with you that as order increases the transition band becomes more steep.
ReplyDeleteCompare the POLE position of Butterworth filter and Chebyshev Filter
ReplyDeleteYes sir...I have updated the blog..
DeleteCompare the POLE position of Butterworth filter and Chebyshev Filter
ReplyDeleteButterworth filter removes the white noise
ReplyDeleteAs the poles are on unit circle , filter is stable
ReplyDelete