An algorithm for the continuous Morlet wavelet transform

By Richard Buessow. 2007

153 citations recorded by the source corpus.

Abstract This article consists of a brief discussion of the energy density over time or frequency that is obtained with the wavelet transform. Also an efficient algorithm is suggested to calculate the continuous transform with the Morlet wavelet. The energy values of the wavelet transform are compared with the power spectrum of the Fourier transform. Useful definitions for power spectra are given. The focus of the work is on simple measures to evaluate the transform with the Morlet wavelet in an efficient way. The use of the transform and the defined values is shown in some examples.

Subfields: Applied Mathematics, Computer Vision and Pattern Recognition, Media Technology

View Paper: https://www.semanticscholar.org/paper/a696cedcf5f02200121dd45da7f3bc12068cf80e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Rui Kang
2. Dong Wang
3. Qiang Miao

In Computer Vision and Pattern Recognition

1. Rui Kang
2. Dong Wang
3. Qiang Miao

In Media Technology

1. Rui Kang
2. Dong Wang
3. Qiang Miao

Citations in the corpus

• Robust health evaluation of gearbox subject to tooth failure with wavelet decomposition (2009, methodology): “Though many wavelet functions have been developed until now, Morlet wavelet [10] and Daubechies [7,9–11] wavelet were mostly used to extract fault signatures.”