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\f(b) 3 marks. Calculate the 2D FFT of im sinc and move the 0 fre- quency to the centre. Create the magnitude image mag ft sinc of this Fourier transformed image. Calculate the correct frequency ranges for the Fourier transformed image. Display the magni- tude image mag ft sinc and its intensity range. Set the axis of mag_ft_sinc to the correct frequency ranges. Include this figure in your report and clearly describe what it represents. In addition include the following: . Paste the MATLAB code for calculation of the frequency ranges in your report. . State the approximate range of frequencies that have high in- tensity values and clearly describe how you determined them. (c) 3 marks. This is a theoretical exercise, no MATLAB coding needed. Consider the original continuous 2D sinc function I(x, y) defined on the full infinite 2D domain of real numbers. In your report, answer the following questions: . Compute the continuous Fourier transform of I(x, y) . Using the material from the lecture work out what is the range of non-zero frequencys for this continuous Fourier transformed function for arbitraty f, and fy . Calculate the range of non-zero frequencies for the values fr = 12 and fy = 8. Does it agree with the sampled version you have just implemented in question (b)? . Restricting the function I(x, y) to the domain ? can be inter- preted as multiplication with a 2D Rect function. With this in mind explain why we see ringing artefacts in the image mag-ft_sinc.MATLAB software. LAB TASKS: Task #1: Calculate the Laplace Transform. If(t) = 1.25e-2 - 0.25 + 0.5t Task #2: Calculate the Inverse Laplace Transform. F(s) =- 10(s + 2) s(s + 45 + 5)