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EE 105 Lecture 9-24-13 SG11

Circle r 1 at a given angle instantaneous amplitude as

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Unformatted text preview: instantaneous amplitude deviation from 0 o As a function of time can square sine function and average over time to find the root mean square average (RMS), or can take the absolute value of the sine function and average over time to find the average absolute amplitude o The sine is a trigonometric function its argument can be represented in cycles/ degrees/ radians Just remember the units Angle in radians = length around unit circle (r = 1) at a given angle Instantaneous amplitude as a function of time o Plot function let angle be a function of time let vertical coordinate represent the instantaneous amplitude at a given time, and let the horizontal coordinate represent time • • • o Let the proportionality constant ω scale when the transitions across zero amplitude occur as a function of time Lots of ways to write this proportionality constant (the angular frequency) to get correct units for the argument of the sine function (e.g., angular frequency – radians/second, time – seconds; product of the two has units of radians) t = 0 is determined relative to an external clock can add in the phase as a shift in the wave If the signal A(t) is sinusoidal in time characteristic components are amplitude (of the oscillation), frequency, and phase Abbreviations for powers of ten typically assigned every three orders of magn...
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