KNL 6273 ADVANCED DIGITAL SIGNAL PROCESSING Assignment 1: [50 marks] – 20 % Answer ALL question. Please submit before dateline. 1. Generate THREE MATLAB PROGRAM for these windows: Hamming, Hanning and Blackman. Instruction: a. Run the programs for N=32, 64 and 1028. b. Plot x-axis for frequency (rad/second) and y-axis for DFT magnitude for the MATLAB programs. c. Plot a graph to compare the performance of the three windows. 2. Design a 5-tap FIR band reject (band-stop) filter with a lower cut-off frequency of 2,000 Hz, an upper cut-off frequency of 2,400 Hz, and a sampling rate of 8,000 Hz using the Hamming window method. Determine the transfer function. 3. Generate a MATLAB program for design 51 and 501 coefficient Low Pass Filter (LPF) with Ω0 = π/4. Proof your result. 4. Generate a MATLAB program for design 301 coefficient High Pass Filter with Ω0 = 3π/4 a. Proof your result.