Given a scaling function ?0, mother wavelet ?0, and maximum scale level J, DWT is a mapping from x(t) to the approximation coefficients ax and detail coefficients dx: x(t) ?{ax(J, k), dx(j, k), j ? [1 ...

Wavelets provide new capabilities for analyzing real-time signals. This introductory article provides an overview and presents the basic mechanisms involved in wavelets. In many signal processing ...

The Discrete Wavelet Transform (DWT) has gained the reputation of being a very effective signal analysis tool for many practical applications. This paper presents an approach towards VLSI ...

At this point we have the necessary framework to combine all these concepts together into the wavelet energy absorption (WEA) method. But first, let us summarize the accumulated information. 1. The ...

A French mathematician known for his pioneering work on a theory used for applications ranging from image compression to the detection of gravitational waves from the merging of black holes has earned ...

In most cases, the velocity of sound in partially saturated rock is significantly greater than in pure gas under the same pressure and temperature. What this means is that the wave-propagation process ...

Given a scaling function ?0, mother wavelet ?0, and maximum scale level J, DWT is a mapping from x (t) to the approximation coefficients ax and detail coefficients dx: ...

A French mathematician known for his pioneering work on a theory used for applications ranging from image compression to the detection of gravitational waves from the merging of black holes has earned ...