Q.3 a) A continuous-space sinusoidal image 1.(x,y) is given with the parameters X, = 0.025 m and Y = 0.01 m. The corresponding sampled image I(m,n) is obtained using the sampling frequency Fs = 1000 pixels/m. A MATLAB code is required to compute and plot a 100x100 window of I(m,n) and as well as its DFT. Fill in the blanks in the table below (answers not written in the appropriate boxes will be given zero marks). MATLAB statement 1. 2. Task Introduction of the given parameters X, Y, lengths of cycle in x and y directions; Fs, sampling frequency: N, number of pixels in the NxN window in x() direction Computation and display of the frequencies F7o and F,0 of 1,(x, y) Computation and display of the parameters frofoNN.,0, W40 W,0 Creation of an NxN window of discrete- space sinusoidal image (m,n) 3. 4. 5. 6. Colored display of the 3-D view of the NXN window ofl(m,n) Colored display of 2-D view of the NxN window of I(m,n) Computation of DFTofl(m,n) 7. 8. Computation of shifted DFTof I(m,n) 9. 10. Computation of the absolute value of shifted DFT of I(m, n) Colored display of 3-D view of absolute value of shifted DFTof I(m, n) Colored display of 2-D view of absolute value of shifted DFTof I(m, n) 11. Q.3 a) A continuous-space sinusoidal image 1.(x,y) is given with the parameters X, = 0.025 m and Y = 0.01 m. The corresponding sampled image I(m,n) is obtained using the sampling frequency Fs = 1000 pixels/m. A MATLAB code is required to compute and plot a 100x100 window of I(m,n) and as well as its DFT. Fill in the blanks in the table below (answers not written in the appropriate boxes will be given zero marks). MATLAB statement 1. 2. Task Introduction of the given parameters X, Y, lengths of cycle in x and y directions; Fs, sampling frequency: N, number of pixels in the NxN window in x() direction Computation and display of the frequencies F7o and F,0 of 1,(x, y) Computation and display of the parameters frofoNN.,0, W40 W,0 Creation of an NxN window of discrete- space sinusoidal image (m,n) 3. 4. 5. 6. Colored display of the 3-D view of the NXN window ofl(m,n) Colored display of 2-D view of the NxN window of I(m,n) Computation of DFTofl(m,n) 7. 8. Computation of shifted DFTof I(m,n) 9. 10. Computation of the absolute value of shifted DFT of I(m, n) Colored display of 3-D view of absolute value of shifted DFTof I(m, n) Colored display of 2-D view of absolute value of shifted DFTof I(m, n) 11
