why the conv(u,v,'same') choose the a vector a little right deviated to center position

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Tsung-Ju Yang
Tsung-Ju Yang 2017-3-30
评论： Tsung-Ju Yang 2017-3-31
For example
>> a=[1:10];
>> b=[7:7:28];
>> conv(a,b)
ans =
7 28 70 140 210 280 350 420 490 560 553 462 280
>>conv(a,b,'same')
ans =
70 140 210 280 350 420 490 560 553 462
The same option give a vector vector from element 70. Why not from element 28? Are there any math/enginerr reasons?

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Greg Dionne
Greg Dionne 2017-3-30
If b is of odd length, you will obtain what you expect.
For even length it will move to the next available point having the gap at the beginning, not at the end. To get the other way, try:
>> fliplr(conv(fliplr(a),fliplr(b),'same'))
ans =
28 70 140 210 280 350 420 490 560 553
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Image Analyst
Image Analyst 2017-3-30
Basically it's shifted a half element to the side if you're using an even number of elements in your scanning kernel window instead of an odd number.

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