2. Design lowpass IIR filter with the following specifications: Filter order = 2

Question

2. Design lowpass IIR filter with the following specifications:
Filter order = 2, Butterworth type
Cut-off frequency=800 Hz
Sampling rate =8000 Hz
Design using the bilinear z-transform design method

Print the lowpass IIR filter coefficients and plot the frequency responses using MATLAB.

MATLAB>>freqz(bLP,aLP,512,8000);
axis([0 4000

Explanation / Answer

MATLAB>>freqz(bLP,aLP,512,8000); axis([0 4000 –40 1]); % sampling rate=8000 Hz Label and print your graph. What are the filter gains for stopband at the cut-off frequency and 2000 Hz, and passband at 50 Hz based on the plot of the magnitude frequency response? 2. Design a bandpass IIR filter with the following specifications: Filter order =2, Butterworth type Lower cut-off frequency=1000 Hz, upper cut-off frequency=1400 Hz, SAMPLING RATE =8000 HZ Design using the bilinear z-transform design method Print the band ass IIR filter coefficients and plot the frequency responses using MATLAB. MATLAB>>freqz(bBP,aBP,512,8000); axis([0 4000 –40 1]); % sampling rate=8000 Hz Label and print your graph. What are the filter gains for the stopband at cut-off frequencies, at 500 Hz and 2500 Hz, and passband at 1200 Hz based on the plot of the magnitude frequency response? 3. Design a highpass IIR filter with the following specifications: Filter order= 4, Chebyshev type Ripple on the passband =1 dB Cut-off frequency=1500 Hz Sampling rate =8000 Hz Design using the bilinear z-transform design method Print the highpass IIR filter coefficients and plot the frequency responses using MATLAB. MATLAB>>freqz(bHP,aHP,512,8000); axis([0 4000 –40 1]);% sampling rate=8000 Hz Label and print your graph. What are the filter gains for the stopband at the cut-off frequency and 500 Hz, and passband at 3000 Hz based on the plot of the magnitude frequency response?

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