A good test is to insert the VAC of differential white noise
into the above formula. One obtains for n>=1 the following result:
which is the correct flat plateau at a level proportional to the variance of the spatial white noise.
Monday, April 28, 2008
[MT 6] Discrete relation between VAC and MSD
There are some subtle points to be considered when the continuous VAC-MSD formula is discretized. The following relation, however, should work:
=&space;\Delta&space;t^2&space;\sum_{m=-n}^{m=+n}&space;C_{vv}(m)\left(&space;&space;n-|m|&space;\right))
A good test is to insert the VAC of differential white noise
into the above formula. One obtains for n>=1 the following result:
=2\sigma^2)
which is the correct flat plateau at a level proportional to the variance of the spatial white noise.
A good test is to insert the VAC of differential white noise
into the above formula. One obtains for n>=1 the following result:
which is the correct flat plateau at a level proportional to the variance of the spatial white noise.
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment