Using the Fourier series in a circuits or DSP laboratory

Author

Hmurcik, Lawrence V. ; Husic, Samira ; Murthy, Ganesh S. ; Hadzic, Amra ; Chen, Jianen

Author_Institution

Coll. of Eng., Bridgeport Univ., CT, USA

Volume

43

Issue

1

fYear

2000

fDate

2/1/2000 12:00:00 AM

Firstpage

58

Lastpage

62

Abstract

Laboratory experiments on circuits that exhibit transient effects are usually performed with a periodic input signal (like a square wave). Three experiments on a resistor capacitor (RC) filter using transient analysis and the solution of a first-order differential equation are described. The results according to a Fourier analysis are then reinterpreted. The similarities and differences in the results from the two theories provide a better understanding of both. Also, using Fourier analysis introduces the basic strengths and weaknesses of discrete signal processing. Further additions to this laboratory are discussed and include (1) the addition of more first-order linear circuits; (2) the addition of second-order (and higher-order) linear circuits; (3) the processing of all data in the frequency domain; and (4) the study of nonlinear circuits

Keywords

Fourier analysis; Fourier series; RC circuits; differential equations; electronic engineering education; linear network analysis; student experiments; transient analysis; DSP laboratory; Fourier analysis; Fourier series; circuits laboratory; first-order differential equation; first-order linear circuits; frequency domain data processing; laboratory experiments; nonlinear circuits; periodic input signal; resistor capacitor filter; second-order linear circuits; square wave signal; transient analysis; transient effects; Capacitors; Differential equations; Digital signal processing; Filters; Fourier series; Laboratories; Linear circuits; Resistors; Signal analysis; Transient analysis;

fLanguage

English

Journal_Title

Education, IEEE Transactions on

Publisher

ieee

ISSN

0018-9359

Type

jour

DOI

10.1109/13.825741

Filename

825741