1. A low pass Chebyshev Type I filter has a pass band edge gain of -0.5dB at 10kHz, and a stop band edge gain of -20db at 12kHz, with a 32kHz sampling frequency.
a. Choose an order for the filter.
b. Find and plot an expression for filter shape ¦H(f)¦ versus f.
2. A band pass filter has a center frequency of 5kHz. It's maximum gain is 0dB, and it's pass band edges lie at -0.5dB, 1.6kHz apart. The transition widths are 400Hz, and the stop band attenuation is 35dB. Choose an order for the Chebyshev Type I filter that satisfies these specifications for a 15kHz sampling rate.