Definition of Convolution Integral.pptx - The Convolution Integral ECE 2101 – Electrical Circuit Analysis II Adrian Gonzalez General Definition The

# Definition of Convolution Integral.pptx - The Convolution...

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The Convolution Integral ECE 2101 – Electrical Circuit Analysis II Adrian Gonzalez April 24, 2019

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General Definition The term convolution means “folding.” Convolution is an invaluable tool to the engineer because it provides a means of viewing and characterizing physical systems.
General Definition (Cont.) For example, it is used in finding the response y(t) of a system to an excitation x(t), knowing the system impulse response h(t) as shown below:

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General Definition (Cont.) This is achieved through the convolution integral, defined as or simply where is a dummy variable and the asterisk (*) denotes convolution.
General Definition (Cont.) The convolution process is commutative: or This implies that the order in which the two functions are convolved is immaterial.

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General Definition (Cont.) In general, the convolution of two signals consists of: 1. Time-reversing one of the signals 2. Shifting it, and multiplying it point by point with the second signal.
• Summer '19
• Convolution Integral, term convolution

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