Consider the following problems related to the modulation and power properties of the Fourier transform. (a) The
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(a) The carrier of an AM system is cos(10t), consider the following message signals
i. m(t) = cos(t)
ii. m(t) = r(t) 2r(t 1) + r(t 2), where r(t) = tu(t)
Sketch the modulated signals y(t) = m(t) cos(10t) for these two messages and find their corresponding spectrum.
(b) Find the power Px of a sinc signal x(t) = sin(0.5t)/(Ït), i.e., the integral
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