#title Convolution
[[TableOfContents]]

==== 예제 ====
예제: http://www.ktword.co.kr/abbr_view.php?nav=2&m_temp1=5254&id=1109
{{{
u <- c(1,2,3,4)
v <- c(10,20,30)
convolve(u,rev(v), type="open")
}}}

결과
{{{
> convolve(u,rev(v), type="open")
[1]  10  40 100 160 170 120
}}}

여기서 t는 시간
attachment:Convolution/convolution_sum.png

 * t1 = 1 * 10 = 10
 * t2 = 1 * 20 + 2 * 10 = 40
 * t3 = 1 * 30 + 2 * 20 + 3 * 10 = 100
 * t4 = 2 * 30 + 3 * 20 + 4 * 10 = 160
 * t5 = 3 * 30 + 4 * 20 = 170
 * t6 = 4 * 30 = 120

==== 이해를 위한 gif ====
attachment:Convolution/Convolution_of_box_signal_with_itself.gif
{{{--출처: https://commons.wikimedia.org/wiki/File:Convolution_of_box_signal_with_itself.gif}}}
==== 참고자료 ====
 * http://trip2ee.tistory.com/101
 * http://pinkwink.kr/156
 * http://www.ktword.co.kr/abbr_view.php?nav=2&m_temp1=5254&id=1109
 * http://m.blog.naver.com/tnalsdl326/220149887901