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Fourier Series

To analyze the periodic properties of F(t) it is useful to uncover a functional representation of the signal in terms of the orthogonal functions tex2html_wrap_inline14197 and tex2html_wrap_inline14199 of period L. To determine the Fourier series  for F(t) we must find the constants tex2html_wrap_inline14205 and tex2html_wrap_inline14207 so that the following identity holds [27]:

  eqnarray3559

Fourier showed that the constants tex2html_wrap_inline14205 and tex2html_wrap_inline14207 in equation (3.63) are computed from F(t) by means of the integral formulas

  equation3568

and

  equation3573



Nicholas B. Tufillaro
Mon Mar 3 01:58:02 PST 1997