Learning Experience: Butterworth Filter Design

Low pass and High Pass filters were designed with the input parameters As ,Ap pass band frequency and stop band frequency and samppling frequency.The pole zero plot was also drawn and it was observed that all the poles lie inside the unit circle indication both the High Pass and Low Pass fiters were stable.It was observed that  the butterworth filter is monotonic in it's pass band as well as stop band meaning it does not have any ripples.

The final steps are calculating the normalized and denormalized transfer functions followed by finding the z transform of the denormalized transfer function.

Our first experience of designing filters and from the output of both the filters was that the waveform of the filters are flat and ripple-free.With higher order, the magnitude response became sharoer and started resembling the ideal filter more closely