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barua_3713908_group1_tutorial_questions - Tutorial Question...

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Tutorial Question 3.6: There are two aspects of the Fourier theory; analysis and synthesis. Major components of Fourier analysis and synthesis are shown below. Write a short essay (half a page to one page) explaining the process of “Fourier Analysis” and its reverse, the process of “Fourier Synthesis”. Your easy should contain explanations about the inter-relation between the original periodic signal, x(t), its spectrum, and its synthesized version. Answer: Fourier Analysis: The process of decomposing any periodic function into its constituent sine or cosine waves is called Fourier analysis. We start from x(t) and then calculate {a k }. Fourier Synthesis: It is a method of expressing an arbitrary periodic function as a sum of cosine terms, or it can be used to express a function in terms of the frequencies (harmonics) it is composed of. Once the harmonic content of a sustained wave from Fourier analysis are known, the capability of synthesizing that wave
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