Title :
A demonstration algorithm for Fourier synthesis and linear systems studies
Author :
Houts, Ronald C.
Author_Institution :
Alabama Univ., Tuscaloosa, AL, USA
Abstract :
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
Keywords :
BASIC listings; computer graphics; function generators; linear systems; mathematics computing; series (mathematics); BASIC; Fourier series; Fourier synthesis; Parseval´s theorem; computer screen; line printer; linear systems studies; mean-square-value; periodic waveforms; plot routine; trigonometric form; Frequency domain analysis; Frequency estimation; Integrated circuit synthesis; Linear systems; Narrowband; Power system harmonics; Printers; Printing; Signal synthesis; Tin;
Conference_Titel :
System Theory, 1989. Proceedings., Twenty-First Southeastern Symposium on
Conference_Location :
Tallahassee, FL
Print_ISBN :
0-8186-1933-3
DOI :
10.1109/SSST.1989.72532
