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Power and RMS Value of a Signal
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[QUOTE="boo, post: 6512687, member: 691333"] The "power" of a signal is simply the average power dissipated by a 1 ohm resistor. For an aperiodic signal this is simply the limiting expression that you posted. For a periodic signal (like a sinusoid) this reduces to integrating the (magnitude) signal squared over one period and dividing by that period. The RMS value of a signal is the square root of the (quantity) integral of the signal squared divided by the period. For a sinusoid of the form A*cos(w*t + phi) this reduces to A/sqrt(2). The RMS value of a constant signal (like a DC signal) is simply the value of that DC signal etc. When doing these integrations it is helpful to have a table of trigonometric identities remembering that integrating a sinusoid over one period is always zero. E.g., when integrating cos(x)^2 convert to 0.5*(1 + cos(2*x)) which, over a period, integrates to 0.5 as the second integral vanishes. [/QUOTE]
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Power and RMS Value of a Signal
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