Construct a periodic system of 4 equations from 8 by adding terms appropriately so that 8 becomes
Periodic Array2.doc
Wp  n   W  n   W  n  M   W  n  M 
{1,2,3,4,15,4,3,2} -- note that to keep the array non-singular, that the diagonal element needed to be
increased from the original 5.
W(-2)=W(-2)+W(2)+W(-6)=3+3=6
W(-1)=W(-1)+W(3)+W(-5)=4+2=6
W(0)=W(0)+W(4)+W(-4) = 15+1 = 16
W(1)=W(1)+W(5)+W(-3)=4+2=6
There is a specific set of frequencies in W representing the location of a very large 1/err 2. We do not want
to periodically repeat this. If this location is in the first system, it will be properly represented in the
periodic solution.