A 'spectrogram' type function for computation of the energy distribution of a 'long' time series using projOnClusters.m. It gives a 'time'-distribution of the projection onto the convex cones described by W, for x.
The set giving cone k is described by a vector w = W(:,k) and scalar rho: C_k = { x : x'w >= rho*|| x || };
The polar cone is:
C*_k = { y: y'x <= 0, x element of C_k };
where w is the reference vector for the set C. The projector for this set is described in:
Henry Stark and Youngyi Yang, "Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets, and Optics", Wiley Interscienc Publications, 1998.
On pages 109-113, Section 3.5, in the discusssion on similarity
constraints.
There is no reference yet for this method: like projOnClusters.m, I have yet to publish my theory and algorithm. Comments welcome! |
