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QUESTION 2 Open with Google Docs (a) Continuous Time Fourier Transform (CTFT) can represent any aperiodic signal which cannot be represented by Continuous Time Fourier

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QUESTION 2 Open with Google Docs (a) Continuous Time Fourier Transform (CTFT) can represent any aperiodic signal which cannot be represented by Continuous Time Fourier Series (CTFS). There are three main approaches that may be taken to calculate the inverse CTFT. Explain these THREE (3) approaches. [6 marks] (b) Determine the value of the Continuous Time Fourier Transform (CTFT) of the rectangular function f(t) as shown in Figure Q2(b). f(t) = rect(+/-) 1 t 0 NA 2 2 Figure Q2(b) [6 marks] Page 12 / 20 + (c) Partial fraction method is one of the method used to calculate the inverse Continuous Time Fourier Transform (CTFT). Given a system function as follows, define the value of inverse CTFT. 5(jw) + 30 X(W) = (jw + 2) + (jw + 5) + (w + 10) [13 marks] QUESTION 2 Open with Google Docs (a) Continuous Time Fourier Transform (CTFT) can represent any aperiodic signal which cannot be represented by Continuous Time Fourier Series (CTFS). There are three main approaches that may be taken to calculate the inverse CTFT. Explain these THREE (3) approaches. [6 marks] (b) Determine the value of the Continuous Time Fourier Transform (CTFT) of the rectangular function f(t) as shown in Figure Q2(b). f(t) = rect(+/-) 1 t 0 NA 2 2 Figure Q2(b) [6 marks] Page 12 / 20 + (c) Partial fraction method is one of the method used to calculate the inverse Continuous Time Fourier Transform (CTFT). Given a system function as follows, define the value of inverse CTFT. 5(jw) + 30 X(W) = (jw + 2) + (jw + 5) + (w + 10) [13 marks]

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