deletions | additions       diff --git a/Waveform optimization.tex b/Waveform optimization.tex  index 2272976..88fbb1f 100644  --- a/Waveform optimization.tex  +++ b/Waveform optimization.tex 
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substituting into Eq.\ref{eqn:Qem} we find:  $\int_X \sum_i^N [ \sum_t^{T_i} (d_t^i - m(x_t^i))^2 ]  + \log(P(x_i^t|\Theta_{k}))]P(X|D,\Theta_{k-1})$ \int_X \sum_i^N [ \log(P(x_i^t|\Theta_{k}))]P(X|D,\Theta_{k-1}) ]$  Next we want to take the derivative of this expression with respect with the components of $\Theta_{k}$ that defines the waveform and equate it to zero to find its maximum. As $\log(P(x_i^t|\Theta_{k}))]P(X|D,\Theta_{k-1})$ the second integral  does not depend on the waveform, it can be neglected, as well as any constant multiplicative or additive factors.