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hasan_researc
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I don't understand in the first paragraph of the attached lecture notes.
Could anyone help?
Could anyone help?
Last edited:
The Dirac Delta function, also known as the impulse function, is a mathematical function that is used to represent an infinite spike at a specific point or location. It is often used in physics and engineering to model point forces or point masses.
The Dirac Delta function is defined as a function that is equal to zero everywhere except at a single point, where it is infinite. Mathematically, it is represented by the symbol δ(x) and its integral over any interval that contains the point of interest is equal to 1.
The Dirac Delta function is commonly used in physics to represent point charges, point masses, or point forces. It is also used in quantum mechanics to describe the position of an electron around the nucleus of an atom.
In signal processing, the Dirac Delta function is used to represent a unit impulse, which is a signal that is zero everywhere except at a single point where it has an amplitude of 1. It is often used in the analysis of systems and their responses to different input signals.
Some properties of the Dirac Delta function include its symmetry property, where δ(-x) = δ(x), and its scaling property, where δ(ax) = 1/|a| δ(x). It also has a sampling property, where δ(x) = 0 for all x ≠ 0, and an integration property, where ∫ δ(x) dx = 1.