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Signals and Systems by Smarajit Ghosh

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2.1 FOURIER SERIES

If any periodic function f(t) satisfies Dirichlet conditions, it is possible to express it in an infinite series as follows:

 

f(t) = a0 + a1cos ωt + a2cos 2ωt + … + ancos nωt+ b1sin ωt + b2sin 2ωt + …. + bnsin nωt     (2.1)

 

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where the co-efficients a0, an and bn are given by

 

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The constants a0, an and bn given in ...

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