PHY354H1 Lecture Notes - Square Wave, In Step, Orthogonality

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18 Jan 2014
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Lecture 13: fourier series: today"s topic: fourier series, is not covered in morin. Your main resource for this topic should be these lecture notes. Fourier series: last time we discussed the possibility of the driving force not being a single sinusoid (but still periodic on t ). 0, 1, 2, integer, where t is the period of the function we are repre- senting). T (cid:19)(cid:21) t (cid:16) 2 n (cid:17) (cid:18)2 n (cid:19)(cid:21) t. T where an and bn are the amplitudes of the sinusoids for each n value: slight technical detail: notice that for n = 0, sin. = 0 which means that b0 can be anything. To avoid this arbitrariness, we separate the n = 0 term from the others in the sum and write the sum starting from n = 1: This is the general form for a fourier series.

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