MATLAB CODE please..

DFT is Discrete Fourier Transform..!

You wil design the two-dimensional DFT algorithm. You will apply your algorithm to the image processing problem. As we discussed in class, the one-dimensional DFT N-1 X[k] - [n] 1 N can be written into the following matrix form X[0] x[0] X [1] XN WNIN X[N - 2] *[N-2 [XN - 1] [N - 1)] The two-dimensional DFT of size M x N of image x[m, n), OS MSM - 1 and 0 S OSN - 1, is defined by WA W(N-1) w (N-1)(N-1) N-1 M-IN-1 X [K, 1(m,n)W*W m=0 =0 while its inverse DFT can be written as N M-IN-1 (m,n) x[kl]W.77 kW MN 0 =0 X Solve the problems (2) 0. Obtain the matrix form of the two-dimensional DFT in (1). . Design the MATLAB algorithm for 0 : Note that you are not allowed to implement the algorithm in (1) directly, you have to obtain the algorithm of the matrix form 2-D DFT in O Suppose that we we the LTI filter to process the input image of "Lena NEW.png' as shown in the figure given below. The filter coefficients (in the frequency domain) are all 3. Obtain the output image of the filter. (Note that you have to ease your algorithm designed above) Useful MATLAB commands Timwrite and Timubow 2-dimensional 33 3 Input image Output image? 3 OFT DFT 3 3 3 3 3 3 3 You wil design the two-dimensional DFT algorithm. You will apply your algorithm to the image processing problem. As we discussed in class, the one-dimensional DFT N-1 X[k] - [n] 1 N can be written into the following matrix form X[0] x[0] X [1] XN WNIN X[N - 2] *[N-2 [XN - 1] [N - 1)] The two-dimensional DFT of size M x N of image x[m, n), OS MSM - 1 and 0 S OSN - 1, is defined by WA W(N-1) w (N-1)(N-1) N-1 M-IN-1 X [K, 1(m,n)W*W m=0 =0 while its inverse DFT can be written as N M-IN-1 (m,n) x[kl]W.77 kW MN 0 =0 X Solve the problems (2) 0. Obtain the matrix form of the two-dimensional DFT in (1). . Design the MATLAB algorithm for 0 : Note that you are not allowed to implement the algorithm in (1) directly, you have to obtain the algorithm of the matrix form 2-D DFT in O Suppose that we we the LTI filter to process the input image of "Lena NEW.png' as shown in the figure given below. The filter coefficients (in the frequency domain) are all 3. Obtain the output image of the filter. (Note that you have to ease your algorithm designed above) Useful MATLAB commands Timwrite and Timubow 2-dimensional 33 3 Input image Output image? 3 OFT DFT 3 3 3 3 3 3 3