![]() ![]() ![]() Here is from zero to pi our function is equal to three, and from pi to two pi, ourįunction is equal to zero. Taking the definite integral from zero to two pi, from zero to two pi, from zero to two pi. So, they key to realize is that our square waveīetween zero and pi, 'cause we're gonna keep But now, let's actually evaluate a-sub-zero, a-sub-n, and b-sub-n for this particular square wave. But I picked this period to just make the math a little bit simpler and we will generalize in the future. And then the other terms have frequencies thatĪre multiples of that. Of one over two pi, which is the frequency of That has a period of two pi and that's where, actually, a lot of these two pis came out from, and that's also why we started here at cosine t and sine of t. And now we can actually apply it for this particular square wave. "Well can we find formulas "for those coefficients?" And we were able to do that ![]() Idea of a Fourier series that we could take a periodic function and represent it as an infinite sum of weighted cosines and sines and we use that idea to say, Very well be an exciting video because we start with this ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |