Title :
A Derivation of the Fourier Series via the Laplace Transform
Abstract :
The equivalence between a periodic function and an infinite series of sinusoids is developed by termwise inversion of the partial fraction expansion of the Laplace transform of the periodic function.
Keywords :
Circuit analysis; Circuit theory; Education; Fourier series; Instruments; Laplace equations; Linear systems; Poles and zeros; Steady-state; Transient analysis;
Journal_Title :
Education, IEEE Transactions on
DOI :
10.1109/TE.1973.4320792