Related Experiment Video
Updated: Jun 12, 2026

Interfacial Molecular-level Structures of Polymers and Biomacromolecules Revealed via Sum Frequency Generation Vibrational Spectroscopy
Published on: August 13, 2019
Abstract:
The opportunity to process signals in domains other than the time or frequency domains arises naturally in coherently illuminated optical systems that produce Fourier transforms. It is well known that N samples are sufficient to represent the information content in the object, image, and Fourier planes. We extend these results to show that we can accurately represent the intensity signal in any Fresnel plane of a coherently illuminated optical system with exactly N samples, provided that we use a specified nonuniform sampling technique.
Related Concept Videos
Sampling Theorem
Convergence of Fourier Series
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...
Upsampling
Fast Fourier Transform
The computational efficiency of the FFT becomes...
Aliasing
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...
Basic signals of Fourier Transform
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at zero. It...

