Advanced Digital Signal Processing Course Instructor: Dr. Tahir Zaidi Assignment # 05

Due Date for On Campus Students: May 05, 2015 Due Date for DL Students: May 05, 2015 Important Notes:

This is an individual assignment. Each student must work alone, without help from any other person. Copied assignment will get Zero Marks.

Submit the .doc file or .pdf.

Please solve the assignment on paper and take a picture from a good camera and properly compile the pictures in a word file.

Upload the Assignment on Canvas.

Filename should be firstname_rollnumber.doc(.pdf).

Question # 01 A certain specification for a low pass FIR filter design requires both the pass band and stopband

ripples to be below 0.004. The pass band and the stop band corner frequencies are specified to be

wp =pi / 4 and ws = 3pi / 8 , respectively.

a. Plot the frequency response of the ideal filter? b. Design the filter using the all of the possible windows that satisfy the given

specifications. Your design should explicitly mention the order of filter required.

c. Design the filter using the Kaiser window, specifying the value of b and the filter order required.

Question # 02 A linear phase filter is designed by applying Kaiser Window to an ideal impulse response

corresponding to the ideal frequency response below:

The transition between two pass bands is pi /10, whereas the peak deviation allowed in both pass

band and stop band is 0.004.

a. What is the value of parameter b required? b. What should be the order of the filter to be used in this design?

Question # 03