Wavelet Analysis

With Mathematica 8, a complete system of wavelet methods is introduced in Mathematica.
Use discrete or continuous high-performance wavelet analyses for thresholding and visualization in any number of dimensions.

  • Represention of many new discrete wavelet functions
  • Represention of many new continuous wavelet functions
  • Signal and image analysis

The user can transform his data in multiple wavelet bases, wavelet packet bases, or trigonometic bases, and perform inverse transforms in one or two dimensions. After that, the transform can be represented in a time-frequency space, and several different bases. Also, boundary values can be selected. Compressing and denoising of data prove to be surprisingly simple processes, which can be performed by using the integrated functions of the wavelet collection.

Zeitkontinuierliche Wavelet-Transformation

Continuous Wavelet Families

Show the wavelet function () for different continuous wavelet families.