deletions | additions       diff --git a/Waveform optimization.tex b/Waveform optimization.tex  index ae8bd1e..7690dcf 100644  --- a/Waveform optimization.tex  +++ b/Waveform optimization.tex 
...
\subsection{Waveform optimization}  Given the data $D={d_t^i}$, $D=\{d_t^i\}$,  hidden states $X={\phi_i^t,\lambda_i_t}$ $X=\{\phi_i^t,\lambda_i^t\}$ and parameters $\Theta$, we want to maximimze the likelihood $P(D|\Theta)$ over $\Theta$.  We want to maximize the expected value of the log of the joint distribution of hidden states and data, $P(D,X|\Theta)$ with respect to the unknown states, conditioned on the data and the current parameters:  $argmax $