Physical Wavelets, Particles and Fields in Complex Spacetime : Applications to Communication Theory

Physical Wavelets are "small" acoustic or elctromagnetic waves which can be used in analysis and construction of general waves occuring, for example, in acoustic and electronic communicvation, sonar, and radar. Technically, they are eact, pulsed-beam solutions of the appropriate differential equations which possess some important properties typical of mathematical wavelet analysis.The term "physical wavelets" orginiated with Kaiser himself and was presented for the first time in his highly succesful book "A Friendly Guide to Wavelets". In this work, physical wavelets become the foundation for a unified mathematical structure for communications theory and related areas. A broad range of topics are discussed, from 1-D wavelet analysis to acoustic and electromagnetic scattering, and quantum communications theory. Basic pedagogical techniques, e.g. graphs, illustrations, numerous examples and problems, are used to makes conceptes and key results more intuitive."Physical Wavelets" will appeal to researchers and graduate students as well as practicing engineers and other scientists in a number of applied areas of mathematics and physics. It will be an excellent resource for self-study or classroom use. Only some elementary knowledge of Laplace's equation and the wave equation is assumed.Kaiser, Gerald is the author of 'Physical Wavelets, Particles and Fields in Complex Spacetime : Applications to Communication Theory', published 2005 under ISBN 9780817641481 and ISBN 0817641483.