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b09hwk4 - ECE2311 Name ECE Box Number HOMEWORK 4 B09 Due...

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ECE2311 HOMEWORK # 4 B09 Name : ECE Box Number: Due date: This assignment is due Wednesday, December 2, bring to class. Make a photocopy for your reference for fast comparison to solution set. Put all answers on the lines provided! Attach any work sheets with a staple. Problem 1 – Fourier Transform Integral 1a) Obtain the Fourier transform of the function x ( t ) = t e - t u ( t ) by evaluating the intergral for the Fourier Transform (i.e. do not use the table method). Show all work. X ( ω ) = 1b) Obtain the Fourier transform of the function y ( t ) = t e -| t | by evaluating the intergral for the Fourier Transform (i.e. do not use the table method). Show all work. Y ( ω ) = 1
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Problem 2 – Fourier Transform Tables 2a) Obtain the Fourier transform of the function x ( t ) = t e - t u ( t ) by using the table on page 702 of the textbook. Show all work. X ( ω ) = 2b) Obtain the Fourier transform of the function y ( t ) = t e -| t | by using the table on page 702 of the textbook. Show all work.
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