QuestionQuestion

1.
Given an analog filter with the transfer function
H(s)= 1,000/(s+1,000)
convert it to the digital filter transfer function and difference equation using the BLT if the DSP system has a sampling period of T = 0.001 second.

3.
The normalized lowpass filter with a cutoff frequency of 1 rad/sec is given as
Hp (s)=1/(s+1)
a. Use Hp (s)and the BLT to obtain a corresponding IIR digital highpass filter with a cutoff frequency of 30 Hz, assuming a sampling rate of 200 Hz.
b. Use MATLAB to plot the magnitude and phase frequency responses of H(z).

6.
Design a first-order digit allowpass Butterworth filter with a cutoff frequency of 1.5kHz and a passband ripple of 3 dB at a sampling frequency of 8,000 Hz.
a. Determine the transfer function and difference equation.
b. Use MATLAB to plot the magnitude and phase frequency responses.

9.
Design a second-order digital bandpass Butterworth filter with a lower cutoff frequency of 1.9 kHz, an upper cutoff frequency 2.1 kHz, and a passband ripple of 3dB at a sampling frequency of 8,000 Hz.
a. Determine the transfer function and difference equation.
b. Use MATLAB to plot the magnitude and phase frequency responses.

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