% -*- mode: latex; TeX-master: "Vorbis_I_spec"; -*-
%!TEX root = Vorbis_I_spec.tex
-% $Id$
\section{Floor type 0 setup and decode} \label{vorbis:spec:floor0}
\subsection{Overview}
and
\begin{displaymath}
- \mathrm{bark}(x) = 13.1 \arctan (.00074x) + 2.24 \arctan (.0000000185x^2 + .0001x)
+ \mathrm{bark}(x) = 13.1 \arctan (.00074x) + 2.24 \arctan (.0000000185x^2) + .0001x
\end{displaymath}
The above is used to synthesize the LSP curve on a Bark-scale frequency
\end{enumerate}
} else \varname{[floor0\_order]} is even {
- \begin{enumerate}
+ \begin{enumerate}[resume]
\item calculate \varname{[p]} and \varname{[q]} according to:
\begin{eqnarray*}
p & = & \frac{(1 - \cos\omega)}{2} \prod_{j=0}^{\frac{\mathtt{floor0\texttt{\_}order}-2}{2}} 4 (\cos([\mathtt{coefficients}]_{2j+1}) - \cos \omega)^2 \\
\item done
\end{enumerate}
+\paragraph{Errata 20150227: Bark scale computation}
+Due to a typo when typesetting this version of the specification from the original HTML document, the Bark scale computation previously erroneously read:
+ \begin{displaymath}
+ \hbox{\sout{$
+ \mathrm{bark}(x) = 13.1 \arctan (.00074x) + 2.24 \arctan (.0000000185x^2 + .0001x)
+ $}}
+ \end{displaymath}
+Note that the last parenthesis is misplaced. This document now uses the correct equation as it appeared in the original HTML spec document:
-
+ \begin{displaymath}
+ \mathrm{bark}(x) = 13.1 \arctan (.00074x) + 2.24 \arctan (.0000000185x^2) + .0001x
+ \end{displaymath}