Find the magnitude and the phase of the fourier series

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1) Two signals are said to be orthogonal if the integral of the product of the signals is 0 over one period of the new (multiplied) signal. Assume x(t) and y(t) are orthogonal energy signals with energy, Ex and Ey, respectively. Find the energy, Ez, of z(t)=2x(t)-y(t) in terms of Ex and Ey.

2) Find and plot the magnitude and the phase of the Fourier Series coefficients of the following function: x(t) = 12+4sin(30*pi*t) +3cos(60*pi*t-pi/3)-cos(120*pi*t+pi/4)

Reference no: EM13225506

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