Difference between revisions of "Convolution"
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Convolution is a mathematical operation that expresses the product of two functions. It refers to both the result function and to the process of computing it. After one function is reversed and shifted it could be seen as the integral of the product of the two functions. | Convolution is a mathematical operation that expresses the product of two functions. It refers to both the result function and to the process of computing it. After one function is reversed and shifted it could be seen as the integral of the product of the two functions. | ||
The equation of convolution of f() of t and g() of t | The equation of convolution of f() of t and g() of t: | ||
<math> f(t) * g(t) = \int_{0}^{t} f(\tau) f(t - \tau) d \tau </math> | <math> f(t) * g(t) = \int_{0}^{t} f(\tau) f(t - \tau) d \tau </math> | ||
- from "[[Video/The Convolution of Two Functions Definition & Properties | The Convolution of Two Functions Definition & Properties]]" <ref>{{:Video/The Convolution of Two Functions Definition & Properties}}</ref> | - from "[[Video/The Convolution of Two Functions Definition & Properties | The Convolution of Two Functions Definition & Properties]]" <ref>{{:Video/The Convolution of Two Functions Definition & Properties}}</ref> | ||
Revision as of 09:55, 31 July 2022
Convolution is a mathematical operation that expresses the product of two functions. It refers to both the result function and to the process of computing it. After one function is reversed and shifted it could be seen as the integral of the product of the two functions.
The equation of convolution of f() of t and g() of t: - from " The Convolution of Two Functions Definition & Properties" [1]
In this equation, the star between f(t) and g(t) is not multiplication * this star takes two different functions and combine it
References
- ↑ Bazett, Trefor (Apr 12, 2020). The Convolution of Two Functions Definition & Properties. local page: Dr. Trefor Bazett.