# HG changeset patch # User peterf # Date 1331942691 0 # Node ID 2994e5e485e776debee88c497fe89816a3d6bc78 # Parent 2cd533f149b7aeeb6587d0123de97b1dc9ab239d audio Tidy #1 diff -r 2cd533f149b7 -r 2994e5e485e7 draft.tex --- a/draft.tex Fri Mar 16 23:18:35 2012 +0000 +++ b/draft.tex Sat Mar 17 00:04:51 2012 +0000 @@ -749,30 +749,19 @@ } \end{fig} - \subsection{Content analysis/Sound Categorisation} - Using analogous definitions of differential entropy, the methods outlined - in the previous section are equally applicable to continuous random variables. - In the case of music, where expressive properties such as dynamics, tempo, - timing and timbre are readily quantified on a continuous scale, the information - dynamic framework thus may also be considered. + \subsection{Audio based content analysis} + Using analogous definitions of differential entropy, the methods outlined + in the previous section are equally applicable to continuous random variables. + In the case of music, where expressive properties such as dynamics, tempo, + timing and timbre are readily quantified on a continuous scale, the information + dynamic framework may also be considered. - In \cite{Dubnov2006}, Dubnov considers the class of stationary Gaussian - processes. For such processes, the entropy rate may be obtained analytically - from the power spectral density of the signal, allowing the multi-information - rate to be subsequently obtained. -% Local stationarity is assumed, which may be achieved by windowing or -% change point detection \cite{Dubnov2008}. - %TODO - mention non-gaussian processes extension Similarly, the predictive information - rate may be computed using a Gaussian linear formulation CITE. In this view, - the PIR is a function of the correlation between random innovations supplied - to the stochastic process. %Dubnov, MacAdams, Reynolds (2006) %Bailes and - Dean (2009) - - % !!! FIXME - [ Continuous domain information ] - [Audio based music expectation modelling] - [ Gaussian processes] + In \cite{Dubnov2006}, Dubnov considers the class of stationary Gaussian + processes. For such processes, the entropy rate may be obtained analytically + from the power spectral density of the signal, allowing the multi-information + rate to be subsequently obtained. One aspect demanding further investigation + involves the comparison of alternative measures of predictability. In the case of the PIR, a Gaussian linear formulation is applicable, indicating that the PIR is a function of the correlation between random innovations supplied to the stochastic process CITE. + % !!! FIXME \subsection{Beat Tracking}