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Proper Definition and Handling of Dirac Delta Functions [Lecture Notes]
IEEE Signal Processing Magazine ( IF 9.4 ) Pub Date : 2021-04-28 , DOI: 10.1109/msp.2021.3055025
Cagatay Candan

Dirac delta functions are introduced to students of signal processing in their sophomore year. Quite understandably, Dirac delta functions, which should be more aptly called generalized functions or distributions, cannot be comprehensively given to a young audience at the beginning of their engineering education. Instead, a simplified and abridged definition is presented, and the implications of the definition in signal processing problems are illustrated through numerous examples, following the footsteps of Oppenheim et al. [1], [2].

中文翻译:


狄拉克 Delta 函数的正确定义和处理 [讲座笔记]



狄拉克δ函数是在大二时向信号处理专业的学生介绍的。完全可以理解的是,狄拉克δ函数(应该更恰当地称为广义函数或分布)无法在工程教育开始时向年轻观众全面介绍。相反,遵循奥本海姆等人的脚步,提出了一个简化和删节的定义,并通过大量示例说明了该定义在信号处理问题中的含义。 [1],[2]。
更新日期:2021-04-28
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