Dirac comb
Course book · Fourier Series · Dirac comb ↗
\(x(t)=\displaystyle\sum_{m=-\infty}^{\infty}\delta(t-mT)\)
\(c_k=\dfrac{1}{T}\)
\(x_N(t)=\dfrac{1}{T}+\dfrac{2}{T}\displaystyle\sum_{k=1}^{N}\cos\!\left(\dfrac{2\pi kt}{T}\right)\)
Partial sum \(x_7(t)\)
Formula preview
\(x_N(t)\)
\(t/T\)
Terms being added
DC + conjugate pairs
\(t/T\)
Peak \(x_N(0)=\)15/T
First zero at \(|t|/T=\)1/15
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