Fourier Coefficients

The calculation of the Fourier coefficients is defined as a mathematical transformation from the time domain to the frequency domain. One important fact emerges from the Fourier Series, and that is that the original waveform can be reconstructed from the frequency coefficients; in other words it is possible to transform from the frequency domain back to the time domain without loss of information. The Fourier series is perfectly adequate for performing frequency analysis on periodic waveforms; that is to say on deterministic signals.