ASN2 - Something Interesting: Exponential: Difference between revisions

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Fourier Series
Fourier Series

Using cosine to represent the basis functions
<math> x(t)= \sum_{n=0}^\infty a_n cos(\frac{ 2 \pi mt}{T}) \!</math>
<math> x(t)= \sum_{n=0}^\infty a_n cos(\frac{ 2 \pi mt}{T}) \!</math>


Using an exponential to represent basis functions
plot <math> \ \frac{2}{T} \sum_{n=1}^\infty sin\bigg(\frac{2 \pi nt}{T}\bigg) \!</math><br><br>
<math> x(t)= \sum_{n=0}^\infty a_n e^(\frac{ j2 \pi mt}{T}) \!</math>

Revision as of 06:43, 3 December 2009

Fourier Series

Using cosine to represent the basis functions

Using an exponential to represent basis functions