Assume I have a FIR, stable and causal system. I want to know the deepness of non-causality on the inverse of my FIR system. It's obvious that the system is non-minimum-phase, since minimum-phase inverse is always stable and causal.
Definition: The system with $h(n)$ having non-zero elements on $$n> -L$$ have deeper non-causality if $L$ is bigger.
Maybe the reference can be the minimum phase inverse. We can slightly make system worther to introduce none causalty in time reverse of $h[n]$. We know even one element on only just $n=-1$ on $h[n]$ causes system to be none-causal. I'm search for a merit to understand what is affects the deepness of none-causality.
Example: Under which condition the none-causal part of this inverse system will decay faster, or shifted or in some manner decreased>?