Given a lattice L, the dual lattice is

1
(No Transcript)
2
0
3
0
4
Dual Lattice

• Given a lattice L, the dual lattice is
• L x 8y2L, ltx,ygt2Z

1/5
L
L
5
0
0
5
L - the dual of L
L
?n
Case 1
1/n
0
?n
Case 2
6
Creating the Distribution
L
L perturb
0
Case 1
n
Case 2
7
n-dimensional distributions

• Distinguish between the distributions

?
Uniform
Wavy