| Wavelet Toolbox Release Notes | |
New Visual Interface Tools
The Wavelet Toolbox 2.0 introduces several new visual interfaces to facilitate wavelet analysis.
Continuous Wavelet 1-D
The Continuous Wavelet 1-D tool has two new axes.
The first new axis, Coefficients Line, displays the coefficient line plot corresponding to a scale selected using the mouse. This functionality is useful for exploring the continuous wavelet coefficients.
The second new axis, Local Maxima Lines, displays the coefficient lines corresponding to the chaining across scales of the coefficients local maxima. This functionality gives an interesting skeleton of the continuous wavelet coefficients. An automatic scale-to-frequency translator is now available using the mouse.
Complex Continuous Wavelet 1-D
The Complex Continuous Wavelet 1-D tool performs continuous wavelet analysis of real signals using complex wavelets. For both the modulus and the angle of the wavelet coefficients, three axes are displayed:
An automatic scale-to-frequency translator is now available using the mouse. This new tool is useful when the data processing requires careful attention to phase information.
Signal De-Noising Using SWT 1-D
The Stationary Wavelet Transform De-noising 1-D tool performs translation invariant de-noising of signals. This new tool is useful when the signal to be recovered contains some isolated discontinuities. The basic idea is to average many slightly different discrete wavelet de-noising procedures.
Image De-Noising Using SWT 2-D
The Stationary Wavelet Transform De-noising 2-D tool performs translation invariant de-noising of images. This new tool is useful for image de-noising and dramatically improves the performance obtained using simple de-noising strategies. The basic idea is to average many slightly different discrete wavelet de-noising procedures.
Local Variance Adaptive Thresholding 1-D
This tool allows you to define time-dependent thresholds level by level, thereby increasing the capabilities of the de-noising strategies. A graphical editor helps you define a convenient signal segmentation.
This tool is added to the graphical interfaces involving wavelet or stationary wavelet coefficient thresholding (DWT 1-D De-noising and Compression, SWT 1-D De-noising, Density, and Regression estimation).
This new tool is useful for de-noising signals generated according to the classical noisy model with some kind of nonstationary variance noise.
Density Estimation
The Density Estimation 1-D tool performs wavelet based density estimation. This new tool is useful for data coming from an irregular underlying density function. For this kind of data, wavelet methods overcome the traditional histogram or kernel methods.
Regression Estimation
The Regression Estimation 1-D tool performs wavelet based regression estimation for two different underlying models: the fixed design model, and the random design model. This tool provides a visual interface for exploring some de-noising schemes for equally or unequally sampled data. It is useful for de-noising data observed at unequally spaced time instants or for estimating the nonlinear relationships between two variables. It can also be used to smooth data.
Wavelet Coefficients Selection 1-D
The Wavelet Coefficients Selection 1-D tool performs wavelet reconstruction schemes based on various wavelet coefficient selection strategies:
This new tool is useful for stepwise selection of coefficients for manual signal compression.
Wavelet Coefficients Selection 2-D
The Wavelet Coefficients Selection 2-D tool performs wavelet reconstruction schemes based on various wavelet coefficient selection strategies:
This new tool is useful for stepwise selection of coefficients for manual image compression.
Signal Extension/Truncation
The Signal Extension tool performs one-dimensional signal extension using various available extension methods: periodic, symmetric, smooth, and zero-padding. This tool also allows the truncation of a signal.
Image Extension/Truncation
The Image Extension tool performs two-dimensional image extension using various available extension methods: periodic, symmetric, smooth, and zero-padding. This tool also allows the truncation of an image.
Residuals Display
The Residuals tool displays the residuals obtained after a de-noising or compression procedure with some usual frequency diagrams and characteristics, as well as time-series diagrams. This new tool is added to the visual interface to be used with wavelet, wavelet packet, stationary wavelet coefficients, and thresholding.
Dynamic Visualization Tool
The Dynamic Visualization Tool includes a new toggle button, View Axes, that launches a palette for viewing an axis in "full size." Once selected a figure appears and the push buttons assume the position (and relative size) of the axes on the current figure. This functionality is useful when the axes dimensions are small, which happens often in compression and de-noising.
| | Wavelet Toolbox 2.0 Release Notes | New Wavelets | |