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Question: 5ccyb020 question a2 a consider the following continuous time periodic...

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5CCYB020 Question A.2 a) Consider the following continuous time periodic signal x(t): -π/4 t/4 i) Determine the period T and the fundamental frequency wo of x(t) 2 marks i) Determine the coefficient ao of the Fourier series representation of [2 marks] Determine if either sin or cos terms are absent in the compact x(t) trigonometric Fourier series for the real signal x(t), explain why. [2 marks] iv) Determine by inspection from the graph an analytical expression for the periodic function x(t). Then determine a general expression for the Fourier series coefficients. Simplify this expression using integration by parts. [4 marks] v) Write down the Fourier series for x(t). Then, explicitly calculate the first four terms (harmonics) of the compact trigonometric Fourier series for real signals [2 marks]

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