Solving for CSE 3313 Signal processing

Assignment: 1. (10 points) Find the impulse response of the system that can replace the series of systems with impulse responses hn 1,2,3 and han--1,0,4,- 2. (10 points) If the two systems from the previous problem had been in parallel, what single system could replace them? Give the impulse response of this system 3. (10 points) Find xcorr(A, B) where cross corcton A-1-1 ;] and B-1-1-1-3] 1 0 and B-1 -23 Remember that in this case matrix A is the fixed matrix and matrix B passes over it 4. (35 points) Find the DFT or inverse DFT as directed Answers should be in Cartesian coordinates. (a) Find the DFT of x[n] ,-1,1,-1 (b) Find the DFT of x n 1, Ask yourself why this problem and the previous problem have different answers. Also think about constructing the signal in the previous problem from the frequencies you found and what the consequences are of trying to identify the frequencies present without using all of the previously generated values. (c) Find the inverse DFT of X(k)-(6,0,-2,0). (d) Find the DFT of xIn]-20,-2,0). e) Find the DFT of x[n] 2,0,-2 Ask yourself why this problem and the previous problem have diferent answers (f) Find the inverse DFT of X [k] = {2-1-j, 8,--1 + j)