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Question 5: 20 marks A) Write the formulas for two basic forms/representations of the 'Fourier Transform Pairs' for the case of 1-D signals (for simplicity)
Question 5: 20 marks A) Write the formulas for two basic forms/representations of the 'Fourier Transform Pairs' for the case of 1-D signals (for simplicity) that you have studied in this course. What are the technical names for these forms/representations? 4 marks B) What is the major difference between the above formulas in part A)? Describe your answer in terms of the independent variables of functions involved. For which form does a computer algorithm exists and what is its name? 6 marks C) Consider the images given below: 10 marks a be 1) What does the image reconstructions in c and d using the child's Phase and Spectrum information of Fourier Transform respectively tell us about importance of Phase and Spectrum in reconstruction? What is your conclusion after evaluating the image reconstructions in e (using the Phase information of Child (and Spectrum information of Rectangle)) and f (using the Phase information of Rectangle (and Spectrum information of Child)) respectively? 11)
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