A demonstration algorithm for Fourier synthesis and linear systems studies

A computer algorithm written in BASIC is presented, along with five examples of its use. The algorithm uses the trigonometric form of Fourier series to synthesize periodic waveforms and implements Parseval's theorem to estimate the mean-square-value (MSV). The algorithm includes a plot routine for displaying the synthesized waveform on the computer screen, and at the user's option a hard copy can be generated by a line printer. By making changes in one line of the algorithm, it is possible to illustrate the effects of a linear system defined in terms of its amplitude and phase response.< >