Homework Assignment 14
Due Dec. 4, 2000

1. For the figure below, sketch the spectrum of v(n) and y(n) where I = 3.

2. For the figure below, sketch the spectrum of v(n) and y(n) where D = 3.

3. For the figure below, sketch the spectrum of x(n), v(n), w(n), y(n) and y_a(t).

4. Problem 10.13. The total decimation factor should be 50. For the filter designs, use a Kaiser window. Determine the length of the window and beta for the window. Also, write down the frequency response of the ideal filter.

5. Design one-stage and two-stage interpolators to meet the following specifications:

   Original sampling rate:      200 Hz
   Final sampling rate:      10,000 Hz
   Passpand:                 0 < F < 90 Hz
   Transition band:          90 Hz < F < 100 Hz
   Ripple:                   d1 = 0.01; d2 = 0.001
   

   For the filter designs, use a Kaiser window. Determine the length of the window and beta for the window. Also, write down the frequency response of the ideal filter.