After presenting the Benford's law, this work introduces a new diagram (called logarithmic diagram) for analysing a signal according to the Benford’s distribution. Then it presents a Matlab toolbox for performing the Benford Analysis (BA). The application of the toolbox to perform the BA of music pieces is then displayed. The BA turns out to be effective in detecting some kinds of defects/artifacts in music pieces, like the presence of whistles/saturations. Possible future applications of the toolbox will be video processing, within a non-linear, BA-based DSP perspective. •Although the BA looks like quite exotic and mysterious at a first sight, its effectiveness in audio signal processing could stem from how the human perception apparatus works (for instance, it is known to be logarithmic, just like BA). Furthermore a logarithmic relation could not only hold at the periphery of the human brain (its sensors) but even within it, on how single neurons behave and interact with each other, or on how they are trained during the interaction with the external world. Of course a lot of additional study is mandatory to verify such a conjecture, to be performed in the next future in tight connection with neuro-scientists.

Benford Analysis and Brain Activity

BALESTRINO, ALDO;BARMADA, SAMI;COCOCCIONI, MARCO
2013

Abstract

After presenting the Benford's law, this work introduces a new diagram (called logarithmic diagram) for analysing a signal according to the Benford’s distribution. Then it presents a Matlab toolbox for performing the Benford Analysis (BA). The application of the toolbox to perform the BA of music pieces is then displayed. The BA turns out to be effective in detecting some kinds of defects/artifacts in music pieces, like the presence of whistles/saturations. Possible future applications of the toolbox will be video processing, within a non-linear, BA-based DSP perspective. •Although the BA looks like quite exotic and mysterious at a first sight, its effectiveness in audio signal processing could stem from how the human perception apparatus works (for instance, it is known to be logarithmic, just like BA). Furthermore a logarithmic relation could not only hold at the periphery of the human brain (its sensors) but even within it, on how single neurons behave and interact with each other, or on how they are trained during the interaction with the external world. Of course a lot of additional study is mandatory to verify such a conjecture, to be performed in the next future in tight connection with neuro-scientists.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/259535
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