Generalised distributions and digital signal processing applications

点击翻译按钮获取中文摘要

1. A first objective is to apply the new extended Bilateral Laplace, z, and Fourier-related transforms recently introduced by the candidate, thanks to his generalisation of distribution theory, to digital signal processing of physical, chemical, biomedical signals, as well as to the harmonic analysis of music signal. A book by the candidate, just published June 2009, "Signals, Systems, Transforms and DSP...", 1346 pages, Taylor and Francis (CRC), is announced by the publisher as the new Reference Book of the domain. The book, which introduces the generalised distributions and the new transforms, should be instrumental in guiding graduate students through new areas of research. Two Ph.D. and four Masters students are pursuing projects on the applications of the new transforms. Writing a second book on the generalization of distribution theory and the extension of transforms is proposed. Moreover, one Ph.D, candidate has applied to be admitted to the team.