I have $y,h,x$ which are all vectors. From $y[n]=x[n]*h[n]$ which is basically how I got $y[n]$. I also know $h[n]$.
I put this through a Fourier transform. Let's assume that the capitalized versions of those are the fourier transforms:
$Y[k]=X[k]H[k]$, then $Y[k] inv(H[k])=X[k]$
But inverse of $H$ doesn't exist because it is a vector.
How else can I solve this?