Fourier and non-Fourier pattern discrimination compared
Related Experiment Video
Updated: Aug 26, 2026

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
1Visual Sciences Center, University of Chicago, IL 60637, USA. llin22@midway.uchicago.edu
Abstract:
Various studies indicate the existence of non-Fourier visual mechanisms that can extract non-luminance cues (e.g., contrast modulation) as well as a Fourier mechanism that deals with luminance variation only. We compared the pattern discrimination performance of the non-Fourier mechanism with that of the Fourier mechanism by using orientation discrimination and spatial-frequency discrimination tasks. The Fourier patterns used were D6s, the sixth spatial derivative of a Gaussian function multiplied by another Gaussian function in the orthogonal dimension. The corresponding non-Fourier patterns were D6 contrast-modulated cosine gratings. Our results showed a similar trend for the non-Fourier and the Fourier performance at various peak spatial-frequencies or orientations of D6. However, the discrimination threshold of the non-Fourier mechanism was about two-fold higher than that of the Fourier mechanism. The oblique effect was also stronger for non-Fourier patterns. In addition, worse performance for non-Fourier patterns at short stimulus durations (around 33.3 msec) was consistent with the prediction of the two-stage non-Fourier model, which requires more time for the additional rectification and filtering operations.
Related Concept Videos
Properties of Fourier series I
Properties of Fourier series II
A function f(t) is...
Discrete-Time Fourier Series
For a discrete-time periodic signal x[n]...
Parseval's Theorem for Fourier transform
To understand Parseval's theorem, it is essential to first comprehend how signal energy is typically calculated. When considering a signal's...
Discrete Fourier Transform
Fast Fourier Transform
The computational efficiency of the FFT becomes...

