Generalised distributions and digital signal processing applications

广义分布和数字信号处理应用

• 批准号: 8448-2010
• 负责人: Corinthios, Michael
• 金额: $ 1.46万
• 依托单位: École Polytechnique de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=521129
• 关键词: Generalised; distributions; digital; signal; processing

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.

1. 第一个目标是应用新的扩展双边拉普拉斯，z和傅立叶相关的变换最近推出的候选人，由于他的广义分布理论，数字信号处理的物理，化学，生物医学信号，以及音乐信号的谐波分析。一本书的候选人，刚刚出版2009年6月，“信号，系统，变换和DSP...“，1346页，泰勒和弗朗西斯（CRC），是由出版商宣布为新的参考书的领域。这本书，介绍了广义分布和新的转换，应有助于指导研究生通过新的研究领域。两个博士四名硕士生正在研究新变换的应用。 写第二本书的推广分布理论和延伸的变换建议。此外，一名博士候选人已申请加入该小组。