# HG changeset patch # User samer # Date 1331946195 0 # Node ID 9d7e5f690f2843773297bb31c4ffdb15979ed395 # Parent a18a4b0517e8e8ab5bc65e46925bd1084a5e46d2# Parent 2994e5e485e776debee88c497fe89816a3d6bc78 Merged. diff -r a18a4b0517e8 -r 9d7e5f690f28 draft.tex --- a/draft.tex Sat Mar 17 01:00:06 2012 +0000 +++ b/draft.tex Sat Mar 17 01:03:15 2012 +0000 @@ -757,6 +757,12 @@ 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 thus be applied. +% \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. Dubnov \cite{Dubnov2006} considers the class of stationary Gaussian processes. For such processes, the entropy rate may be obtained analytically @@ -781,6 +787,12 @@ % the PIR is a function of the correlation between random innovations supplied % to the stochastic process. %Dubnov, MacAdams, Reynolds (2006) %Bailes and Dean (2009) +% 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}