2. The Fourier series expansion of a signal is given below: [4 marks] x(t) = -cos2t+cos4...
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2. The Fourier series expansion of a signal is given below: [4 marks] x(t) = -cos2t+cos4 t +...] T (a) Find coefficients ao, a, a2, a4, b,b2, b3, b4 (b) Derive a general formula for ak and bk (c) Determine the following Fourier series coefficients Co, C, C2, C4 (d) Derive a general formula for C (e) Write down the signal complex Fourier series. Hint: wo = Ck = ak - jbk 2. The Fourier series expansion of a signal is given below: [4 marks] x(t) = -cos2t+cos4 t +...] T (a) Find coefficients ao, a, a2, a4, b,b2, b3, b4 (b) Derive a general formula for ak and bk (c) Determine the following Fourier series coefficients Co, C, C2, C4 (d) Derive a general formula for C (e) Write down the signal complex Fourier series. Hint: wo = Ck = ak - jbk
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