Root Mean Square - RMS of Common Waveforms

RMS of Common Waveforms

Waveform Equation RMS
DC, constant
Sine wave
Square wave
Modified square wave
Triangle wave
Sawtooth wave
Pulse train
Notes:
t is time
f is frequency
a is amplitude (peak value)
D is the duty cycle or the percent(%) spent high of the period (1/f)
{r} is the fractional part of r

Waveforms made by summing known simple waveforms have an RMS that is the root of the sum of squares of the component RMS values, if the component waveforms are orthogonal (that is, if the average of the product of one simple waveform with another is zero for all pairs other than a waveform times itself).

RMS_{Total} = \sqrt {{{RMS_1}^2 + {RMS_2}^2 + \cdots + {RMS_n}^2} }

Read more about this topic:  Root Mean Square

Famous quotes containing the word common:

    “Wilt thou have this Woman to thy wedded wife, to live together after God’s ordinance in the holy estate of Matrimony? Wilt thou love her, comfort her, honour, and keep her in sickness and in health; and, forsaking all other, keep thee only unto her, so long as ye both shall live?”
    —Book Of Common Prayer, The. Solemnization of Matrimony, “Betrothal,” (1662)