After the approximate form is developed, the exact analytic form of convolution is given. You can also link to an example of the convolution integral in action, and to a less physical (more mathematical) derivation...
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www.swarthmore.edu/NatSci/echeeve1/Ref/Convolution/Conv...
www.swarthmore.edu/NatSci/echeeve1/Ref/Convolution/Convolution.html
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The next section reiterates the development of the page deriving the convolution integral. If you feel you know that material, you can skip ahead to the mechanics of using the convolution integral.
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www.swarthmore.edu/NatSci/echeeve1/Ref/Convolution/Conv...
www.swarthmore.edu/NatSci/echeeve1/Ref/Convolution/Convolution2.html
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A convolution is an integral that expresses the amount of overlap of one function g as it is shifted over another function f . It therefore "blends" one ...
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mathworld.wolfram.com/Convolution.html
mathworld.wolfram.com/Convolution.html
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Summary: An introduction to the convolution integral. ... Convolution Integral for LTI Systems ... Figure 9: y(t) is the convolution integral.
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cnx.org/content/m12324/latest/
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Using the Convolution Integral ... Using the convolution integral, let us integrate the product of x(τ)h(t−τ). For our first and fourth region this will be trivial as it will always be 0. The second region, 0≤t<1, will require the following math:
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cnx.org/content/m11541/latest/
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This module explains the convolution integral through an example. By the end of this example, you should have a good understanding of... The graphical method for computing a convolution. The relationship between the graphical method and the integral equation.
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www.ecn.purdue.edu/VISE/ee438/demos/flash/convolution.h...
www.ecn.purdue.edu/VISE/ee438/demos/flash/convolution.html
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The behavior of a linear, continuous-time, time-invariant system with input signalx(t) and output signal y(t) is described by the convolution integral...
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www.jhu.edu/~signals/convolve/index.html
www.jhu.edu/~signals/convolve/index.html
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that can’t be dealt with easily using partial fractions. We would like a way to take the inverse transform of such a transform. We can use a convolution integral to do this.
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tutorial.math.lamar.edu/Classes/DE/ConvolutionIntegrals...
tutorial.math.lamar.edu/Classes/DE/ConvolutionIntegrals.aspx
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A convolution integral representation of the thermal Sunyaev–Zel'dovich effect ... Analytical expressions for the non-relativistic and relativistic Sunyaev–Zel'dovich effect (SZE) are derived by means of suitable convolution integrals.
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dx.doi.org/10.1088/0305-4470/36/16/313
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