from The American Heritage® Dictionary of the English Language, 4th Edition
- n. Psychology A scale for measuring attitude or opinion in which agreement with a given item implies agreement with the items lower in rank.
from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. A visual representation of a wavelet transform, having axes for time, scale, and coefficient value, analogous to a spectrogram.
Each point in the scalogram is an integral of the signal times the wavelet, and one can evaluate the wavelet at the data points.
Greg, what wavelets provide compared to band pass filtering is localization, i.e. in a scalogram as the one on top of this page you can easily localize features at different times on different scales such as a max in the 2048 scale around year 1000.
A short distance in the high frequency part and longer as one goes to lower frequency scales, so all of the lowest frequency scales bottom part in the scalogram above will be affected by how the boundaries are handled.
The effects of the boundaries, and how they are treated, will spread into the scalogram a length that corresponds to the length of the wavelet at a certain scale.
Wordnik is becoming a not-for-profit! Read our announcement here.