Parent Topic: Signature Separability

Transformed Divergence

The Transformed Divergence is given by the following equations: 

  TD(i,j) = 2*[1-exp(-D(i,j)/8)]

where 

  TD(i,j) = Transformed Divergence between classes i and j
   D(i,j) = divergence between classes i and j

   D(i,j) = 0.5*T [M(i)-M(j)]*[InvS(i)+InvS(j)]*[M(i)-M(j)]
            + 0.5*Trace[InvS(i)*S(j)  +InvS(j)*S(i)  -2*I ]

where 

  M(i)    = mean vector of class i, where the vector has Nchannel
            elements (Nchannel is the number of channels used)
  S(i)    = covariance matrix for class i, which has Nchannel by
            Nchannel elements
  InvS(i) = inverse of matrix S(i)
  Trace[] = trace of matrix (sum of diagonal elements)
  T[]     = transpose of matrix
  I       = identity matrix
Parent Topic: Signature Separability
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