Description
Objectives:
Design an IIR filter using bilinear transformation using Butterworth and Chebyshew- Type I
Filter design approximations.
Prerequisites:
Concept of Simple digital filters and Digital IIR filter design
Bilinear transformation
Explore Butterworth filter design Approximation
Explore Chebyshew Filter design Approximation
Explore Following Commands:
Butter
lp2hp
Cheby1
cheb1ord
freqz
zplane
Important note :
First design the filter with all required steps in notebook followed by MATLAB program
Problems
1. Design the 4th Order Butterworth high pass filter having cut-off frequency 300Hz and
sampling frequency 1 KHz using bilinear transformation.
You need to find Order, Cut-off frequency, Analog butterworth coefficients, Digital low pass
filter Coefficients using MATLAB. Obtain magnitude response and Pole-zero plot.
SEAS Winter 2020
2
2. Design Chebyshev-I low pass filter having following specifications using Bilinear
transformation with T = 0.1 s
0.9≤| | ≤1, 0 ≤ ≤ 0.35
| | ≤0.1, 0.65 ≤ ≤
You need to find Analog low-pass coefficients, Analog band-pass coefficients; Digital
bandpass filter Coefficients using MATLAB. Obtain frequency response and Pole-zero plot.
