diff --git a/ifcs2018_proceeding.tex b/ifcs2018_proceeding.tex
index deb6bb6..76431c6 100644
--- a/ifcs2018_proceeding.tex
+++ b/ifcs2018_proceeding.tex
@@ -248,8 +248,8 @@ shaped rejection capability function.
 
 Linear program formalism for solving the problem is well documented: an objective function is
 defined which is linearly dependent on the parameters to be optimized. Constraints are expressed
-as linear equation and solved using one of the available solvers, in our case GLPK\cite{glpk}.
-With the notation explain in system \ref{model-FIR}, we have defined our linear problem like this:
+as linear equations and solved using one of the available solvers, in our case GLPK\cite{glpk}.
+With the notations used in the description of system \ref{model-FIR}, we have defined the linear problem as:
 \paragraph{Variables}
 \begin{align*}
 x_{i,j} \in \lbrace 0,1 \rbrace & \text{ $i$ is a given filter} \\