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For example pitch evolves time, moving up or down as a word is articulated. + +As the model parameters change over time, we need to keep updating them. This is known as the \emph{frame rate} of the codec, which can be expressed in terms of frequency (Hz) or time (ms). For sampling model parameters Codec 2 uses a frame rate of 10ms. For transmission over the channel we reduce this to 20-40ms, in order to lower the bit rate. The trade off with a lower frame rate is reduced speech quality. + +The parameters of the sinusoidal model are: +\begin{enumerate} +\item Frequencies of each sine wave. As they are all harmonics of $F_0$ we can just send $F_0$ to the decoder, and it can reconstruct the frequency of each harmonic as $F_0,2F_0,3F_0,...,LF_0$. We used 5-7 bits/frame to represent the $F_0$ in Codec 2. +\item The spectral magnitudes, $A_1,A_2,...,A_L$. These are really important as they convey the information the ear needs to make the speech intelligible. Most of the bits are used for spectral magnitude information. Codec 2 uses between 20 and 36 bits/frame for spectral amplitude information. +\item A voicing model. Speech can be approximated into voiced speech (vowels) and unvoiced speech (like consonants), or some mixture of the two. The example in Figure \ref{fig:hts2a_time} above is for voiced speech. So we need some way to tell the decoder if the speech is voiced or unvoiced, this requires just a few bits/frame. +\end{enumerate} + +\subsection{Codec 2 Block Diagram} + \subsection{Bit Allocation} \section{Signal Processing Details} \label{sect:details} +\cite{griffin1988multiband} + \section{Further Work} \begin{enumerate} +\item Using c2sim to ectract and plot model parameters \item How to use tools to single step through codec operation \end{enumerate} -\cite{griffin1988multiband} + \bibliographystyle{plain} \bibliography{codec2_refs}