Related Experiment Video
Updated: Aug 13, 2026

Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging
Published on: November 8, 2012
Wavelet encoding for 3D gradient-echo MR imaging
Abstract:
An implementation of wavelet encoding to resolve one spatial direction of a three-dimensional gradient-echo magnetic resonance image is described. This is the first report of the use of wavelet encoding with a relatively short repetition time for rapid image acquisition. An important feature of this implementation is that it allows wavelet-encoded images to be reconstructed without phase correction. The images show no discernible degradation compared with images acquired with phase encoding or scaling-function encoding instead of wavelet encoding. In addition to describing the implementation, typical sources of phase errors are investigated both theoretically and experimentally.
Related Concept Videos
Two-Dimensional (2D) NMR: Overview
The first step is the preparation period, during which nucleus A is excited with a radiofrequency pulse.
Gradient and Del Operator
Gradient Vectors and Their Applications
Significance of the Gradient Vector
Gradient Fields

