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We create the excitation pulse train using $\omega_0$, a binary voicing decision $v$ and a rules based algorithm. Consider a pulse train with a pulse starting time $n=0$, with pulses repeated at a rate of $\omega_0$. A pulse train in the time domain is equivalent to harmonics in the frequency domain. We can construct an excitation pulse train using a sum of sinusoids: \begin{equation} @@ -508,9 +548,11 @@ Comparing to speech synthesised using original phases: \item Note that this approach could cause some discontinuities in the phase at the edge of synthesis frames, as no attempt is made to make sure that the phase tracks are continuous (the excitation phases are continuous, but not the final phases after filtering by the LPC spectra). \end{enumerate} +TODO: Clean up. Introduce continuous time index, perhaps l-th frame. Expressions for phase spectra as cascade of two systems. Hilbert transform, might need to study this. Figures and simulation plots would be useful. Voicing decision algorithm. Figure of phase synthesis. + \subsection{LPC/LSP based modes} -Block diagram of LPC/LSP mode encoder and decoder. Walk through operation +Block diagram of LPC/LSP mode encoder and decoder. Walk through operation. Decimation and interpolation. \subsection{Codec 2 700C} @@ -547,6 +589,7 @@ $\omega_0$ & Fundamental frequency (pitch) & radians/sample \\ $s(n)$ & Input speech \\ $s_w(n)$ & Time domain windowed input speech \\ $S_w(k)$ & Frequency domain windowed input speech \\ +$v$ & Voicing decision for the current frame \\ \hline \end{tabular} \caption{Glossary of Symbols}