Search for tag: "impulses"

This Topic reconciles the Fourier Series and Fourier Transform, by bringing the analysis techniques together through considering the Fourier Transform of a Fourier Series, using the definition of…

This Topic introduces the concept of the impulse train, a sequence of Dirac delta impulses, which can be used to perform regular sampling of a signal. The impulse train is fundamental to Nyquist…

This Topic continues discussing important signals that are needed to complete the mathematical framework of Fourier analysis and sampling theory. After revising the limiting operation to obtain…

This video discusses the probability density function (pdf) and how it is used, including how to deal with mixed discrete and continuous random variables. The key properties of the pdf are then…