Find the Convolution Y(t) of X(t) and H(t); That Is $$y ( t ) = h ( t ) ^ { * } x ( t )$$

question 9

Essay

Find the convolution y(t) of x(t) and h(t); that is, find $$y ( t ) = h ( t ) ^ { * } x ( t )$$ $$x ( t ) = 2 \cos ( 3 t ) u ( t ) , \quad h ( t ) = 4 \cos ( 4 t ) u ( t )$$

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Definitions:

British North American Colonies

The British North American Colonies were the territories in North America controlled by Britain until the American Revolution, including the 13 colonies that declared independence in 1776.

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Paper Money

A type of currency issued by nations' governments or central banks, representing a government's obligation to pay the amount printed on it.