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Work in progress for a formula sheet?

  • Fourier series of a continuous-time signal x(t) periodic with period T
$ x(t)=\sum_{n=-\infty}^\infty a_n e^{j \frac{2\pi}{T}nt} $
  • Fourier series coefficients of a continuous-time signal x(t) periodic with period T
$ a_n=\frac{1}{T} \int_{0}^T x(t) e^{-j \frac{2\pi}{T}nt}dt $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett