# 11. Design a first-order digital lowpass Chebyshev filter with a c...

## Question

11.
Design a first-order digital lowpass Chebyshev filter with a cutoff frequency of 1.5 kHz and a passband ripple of 1 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.

12.
Design a second-order digital lowpass Chebyshev filter with a cutoff frequency of 1.5 kHz and a passband ripple of 0.5 dB at a sampling frequency of 8,000 Hz. Use MATLAB to plot the magnitude and phase frequency responses.

13.
Design a third-order digital highpass Chebyshev filter with a cutoff frequency of 2 kHz and a passband ripple of 1 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.

14.
Design a second-order digital bandpass Chebyshev filter with the following specifications: Center frequency of 1.5 kHz
Bandwidth of 200 Hz
0.5 dB passband ripple
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.

15.
Design a second-order bandstop digital Chebyshev filter with the following specifications:
Center frequency of 2.5 kHz
Bandwidth of 200 Hz
1 dB stopband ripple
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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