18.12.2 Decomposition

Decomposition

This function computes the one-dimensional, single-level discrete wavelet decomposition with respect to a given wavelet decomposition filter. Two sets of coefficients will be computed. They are the approximation coefficients and the detail coefficients.

Two methods for end extension are available: Periodic and Zero-padded. If the former is chosen, the input signal will be assumed to represent one period of a repeating dataset. Otherwise, all the data values will be regarded as zeroes for all points other than those given.

Currently, three types of wavelets are available, including Haar, Daubechies (N=2, 3, 4, 5, 6, 7, 8, 9, 10), and Biorthogonal (Nr.Nd=1.1, 1.3, 1.5, 2.2, 2.4, 2.6, 2.8, 3.1, 3.3, 3.5, 3.7).

To Use Wavelet Decomposition Tool

1. Make a workbook or a graph active.
2. Select Analysis: Signal Processing: Wavelet: Decompose from the Origin menu.