I'm trying to describe the process of Pre-Emphasis (of a signal) in my equations, but I don't know whether or not this makes sense.
$Y[n] = X[n] - 0.95 \cdot X[n-1]$
Where Y = pre-emphasis after, X = inputted signal
Given:-
$X = \begin{bmatrix} 0.95 & 0.85 \\ 1.56 & 0.12 \end{bmatrix} $
$X = \begin{bmatrix} (0.85 - 0.95 \cdot 0.95) & (0.85 - 0.95 \cdot 0.95) \\ (1.56 - 0.95 \cdot 0.85) & (0.12 - 0.95 \cdot 1.56) \end{bmatrix}$
Result:
$Y = \begin{bmatrix} 0.95 & -0.0525\\ 1.60987 & 0.12 \end{bmatrix}$
I know the equation is right, but, for some reason the calculations don't seem to work.
Any help would be greatly appreciated.