ECE303 - Digital Signal Processing With MATLAB And Numerical Problems - Engineering Assignment Help

Assignment Task

Task

1. Compute the 8-point DFT of a sequence x(n) = {1/a, 1/b, 1/c, 1/d, 0, 0, 0, 0} using radix-2  DIT FFT.  

2. Determine the length-4 sequence from its DFT, X(k) = {a, b-j, -c, d+j}.  

3. Develop the direct form-II realization of the transfer function.  

5. Write a program to find linear convolution of x(n) and h(n) using DFT/FFT.  

where x(n) is the last four digits of your registration number and h(n) is the first four digits of your  registration number  

a) Plot the signal x, h and linear convolution output (i.e. y) by using subplot command.  b) Title of graphs should be your name followed by signal name (e.g., AJAY_x(n), AJAY_h(n),  AJAY_y(n)).  

c) Label the axes of graphs.  

(Hint: let your registration number is 11204316 then x = [4 3 1 6] and h will be [1 1 2 0])  Also solve the question manually and verify with program.  

6. Write a program to find cross correlation of x(n) and y(n).  

where x(n) is the last four digits of your registration number and y(n) is the first four digits of your  registration number  

a) Plot the signal x, y and correlation output (i.e. Rxy) by using subplot command.  b) Title of graphs should be your name followed by signal name (AJAY_x(n), AJAY_h(n),  AJAY_y(n))  

c) Label the axes of graphs.  

(Hint: let’s your registration number is 11204316 then x = [4 3 1 6] and h will be [1 1 2 0])  Also solve the question manually and verify with program.

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