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Power Spectral Density - MIT OpenCourseWare

Power Spectral Density - MIT OpenCourseWare

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10.1 EXPECTED INSTANTANEOUS POWER AND POWER SPECTRAL DENSITY Motivated by situations in which x(t) is the voltage across (or current through) a unit resistor, we refer to x2(t) as the instantaneous power in the signal x(t). When x(t) is WSS, the expected instantaneous power is given by 1 Z ∞ E[x 2 (t)] = Rxx(0) = Sxx(jω) dω , (10.1) 2π −∞

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