Popular understand the concept of convolution:
Important physical meaning of convolution is: a function (eg: in response units) in another function (eg: input signal) superimposed on weighting.
First explain what is weighted:
Popular point to move to Liezi,
Statistical considered when calculating the average of other indicators in the statistics, the value of each variable with several weigh up the role of values called right.
For example it is
required the following average number string
3、4、3、3、3、2、4、4、3、3、
一般求法为（3＋4＋3＋3＋3＋2＋4＋4＋3＋3）／10＝3．2
加权求法为（6＊3＋3＊4＋2）／10＝3．26 occurs wherein 3, 4 occurs twice, 2 1 occurrence. 6,2,1 weights called. This method is called the old weighting method.
Each of them has some number of the same number, expressed as: k1, k2, k3 ....... kn ;
weighted average formula is: (k1p1 + k2p2 + k3p3 + ...... knpn) / (k1 + k2 + k3 + ..... kn)
The weighted number is multiplied by the same numerals in all figures, and then divided by the total number of digits.
Overlay:
In fact, adding, for example, take a look at, like football games, after the opening, one of the football players need to shake hands one by one to the other, if it is Li Fang battalion comrades shook hands, then for every player, it will shake hands the number is the number of the other team, then ask, chief engineer of one of the players shook hands many times, is the superposition of 11 individual field that is the sum:
First team:
1+1+1+1+1+1+1+1+1+1+1=11；
Second team:
1+1+1+1+1+1+1+1+1+1+1=11；
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Eleventh players:
1+1+1+1+1+1+1+1+1+1+1=11；
So every player Handshake of times:
【11,11,11,11,11,11,11,11,11,11,11】
With respect to the convolution is 1x1 + 1x1 ...... + 1x1 + 1x1 = 11;
This example is an example of the equivalent discrete convolution. In fact, examples of continuous convolution sum is integral to the original function from minus infinity to plus infinity, which is seeking overlap area.
Convolution roll What does it mean?
Means, roughly, what is to roll up, roll actually is an action word.
Volume things must move, pancake fruit we eat in the morning is to look at the master was a wave of pancakes rolled up, to say that little by little the entire surface add up, so is the convolution is a little bit the overlapping area, i.e. the product has been multiplied, add up. It appears to be the last piece of something.
The results on different positions only data obtained by multiplying, multiplication and addition have, division, and subtraction have been.
Let's look at a Liezi:
