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about dac permutation

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ilter

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1.My question is why Q² random walk is good?
Is A-P permutation random or a special relationship?
Q² means?
2.In the picture, why is "the systematic and
graded errors are suppressed by a factor of four in the X
direction and a factor of eight in the Y direction?
Why?(a factor of four and a factor of eight)
3.How do I simulate my permutation to sure that my permutaion is good?
4.which one is good? balanced-ring technique or Q² random walk?why?
5.Do any theory prove that this permuation is good?
Thanks.
Papers are in DAC.rar.
 

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