Wavelets

This text describes the role played by wavelet decompositions in quantum field theory. The author postpones the particle interpretation and begins with abstract quantum physics. The quantization of the classical scalar field and of the classical electromagnetic field are then reviewed, and the most basic axiomatic fied theory is discussed. F unctional integrals for imaginary-time-ordered expectations are also introduced, and the connection with classical statistical mechanics and the development of cluster expansion are both emphasized heavily.

In the past two decades, wavelets and frames have emerged as significant tools in mathematics and technology. They interact with harmonic analysis, operator theory, and a host of other applications.

The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering.

The wavelets transform is a mathematical technique in the field of image compression and digital signal analysis. The author aims at providing the reader with a working understanding of wavelets. In numerous examples, he discusses the potentials and limits of the tool in industrial applications. The book is completed by the author`s own Matlab codes. It is very well suited for electrical engineering students and engineers in industry.

Elements of Wavelets for Engineers and Scientists is a guide to wavelets for "the rest of us"-practicing engineers and scientists, nonmathematicians who want to understand and apply such tools as fast Fourier and wavelet transforms. It is carefully designed to help professionals in nonmathematical fields comprehend this very mathematically sophisticated topic and be prepared for further study on a more mathematically rigorous level. Detailed discussions, worked-out examples, drawings, and drill problems provide step-by-step guidance on fundamental concepts such as vector spaces, metric, norm, inner product, basis, dimension, biorthogonality, and matrices.

The wavelets transform is a mathematical technique in the field of image compression and digital signal analysis. The author aims at providing the reader with a working understanding of wavelets. In numerous examples, he discusses the potentials and limits of the tool in industrial applications. The book is completed by the author`s own Matlab codes. It is very well suited for electrical engineering students and engineers in industry.

Describes the more recent, meteoric rise of wavelet analysis and its many practical applications. Includes the new medical and genetic applications such as mammography, heart disease, and fingerprints.