Question

2.17 Consider a baseband signal: X(t) = x₁(1) + jxq(t), where x/(t) and xo(t) are baseband signals with frequency content limited to [-W, +W]. Let X₁(f) and Xo(f) be the frequency

content of the signals. So X₁(f) = XQ(f) = 0 for f * [-W, W]. The energy of the lowpass complex signal is The passband signal is = f ₁8010³d₁. E₁ = x(t) = x1(1) √2 cos(2n fet) - xo(t) √2 sin(2n fet), where fe < W. The energy of the passband signal is 138 Ep = fix(0)³dt. Show that E = Ep. Hint: Derive expressions for the energy in the frequency domain for x(f). Use Parseval's theorem: fut² (1dt = fuvas,

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