Let the Fourier series coefficients of a periodic signal x(t) of fundamental frequency 0 =2/T 0
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Let the Fourier series coefficients of a periodic signal x(t) of fundamental frequency Ω0 =2π/T0 be {Xk}. Consider the following functions of x(t).
y(t) = 2x(t)−3, z(t) = x(t − 2) + x(t), w(t) = x(2t)
Determine if y(t), z(t), and w(t) are periodic, and if so give the corresponding Fourier coefficients in terms of those for x(t).
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