Share Email Print

Proceedings Paper • Open Access

Teaching the concept of convolution and correlation using Fourier transform
Author(s): Debesh Choudhury

Paper Abstract

Convolution operation is indispensable in studying analog optical and digital signal processing. Equally important is the correlation operation. The time domain community often teaches convolution and correlation only with one dimensional time signals. That does not clearly demonstrate the effect of convolution and correlation between two signals. Instead if we consider two dimensional spatial signals, the convolution and correlation operations can be very clearly explained. In this paper, we propose a lecture demonstration of convolution and correlation between two spatial signals using the Fourier transform tool. Both simulation and optical experiments are possible using a variety of object transparencies. The demonstration experiments help to clearly explain the similarity and the difference between convolution and correlation operations. This method of teaching using simulation and hands-on experiments can stimulate the curiosity of the students. The feedback of the students, in my class teaching, has been quite encouraging.

Paper Details

Date Published: 16 August 2017
PDF: 6 pages
Proc. SPIE 10452, 14th Conference on Education and Training in Optics and Photonics: ETOP 2017, 104520Y (16 August 2017); doi: 10.1117/12.2267976
Show Author Affiliations
Debesh Choudhury, Adamas Univ. (India)

Published in SPIE Proceedings Vol. 10452:
14th Conference on Education and Training in Optics and Photonics: ETOP 2017
Xu Liu; Xi-Cheng Zhang, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?