x t 8 10 cos 27 100 7 20cos 2 250 a Using Euler s...

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x t 8 10 cos 27 100 7 20cos 2 250 a Using Euler s relation the signal x t defined above can be expressed as a sum of complex exponential signals using the finite Fourier synthesis summation 3 37 Determine values for fo N and all the complex amplitudes a It is not necessary to evaluate any integrals to obtain a b Is the signal x t periodic If so what is the fundamental period c Plot the spectrum of this signal versus f in Hz P 3 20 A real signal x t has the two sided spectrum shown in Fig P 3 20 The frequency axis has its of rads 90 0 4 90 Figure P 3 20

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