|
|
Standard SolutionsFor most common periodic waveforms, the Fourier series are listed in HLT, page 6, but may require some massaging to get them into a form suitable for your application. An ExampleWe're going to use the classic ramp waveform as an example, with a period of 2ms and an equation:
v(t) = (50Vt)
/ 2ms = 2.5 * 107t
Since T = 2ms, w = 2p / 2ms = 106 p. The corresponding waveform in HLT is the odd function
x(q) = A (1 - q /
2p)
which we can make the same as ours by setting A = -50V, q = 2pt / 2ms = 106pt and adding 50V. Therefore, we can do the same to the Fourier series, to generate
x(q) = 50 - 100/p(sin
106pt + 1/2 sin
2*106pt + 1/3 sin
3*106pt + ...)
et voíla. |
|
Copyright © David McCabe, 1998 - 2001. All rights reserved. You will need to download and install the m-math control to display any equations on this Web site. Without this control, you will not see most of the equations. Please do not e-mail me asking why the equations do not display! [an error occurred while processing this directive] |