Mathematical representation of joint time-chroma distributions

Details Mathematical representation of joint time-chroma distributions Mathematical representation of joint time-chroma distributions

Nov 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999spie.3807..637w&link_type=abstract

Proc. SPIE Vol. 3807, p. 637-645, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, Franklin T. Luk;

Computer Science

Sound

Scientific paper

Originally coined by the sensory psychologist Roger Shepard in the 1960s, chroma transforms frequency into octave equivalence classes. By extending the concept of chroma to chroma strength and how it varies over time, we have demonstrated the utility of chroma in simplifying the processing and representation of signals dominated by harmonically-related narrowband components. These investigations have utilized an ad hoc procedure for calculating the chromagram from a given time-frequency distribution. The present paper is intended to put this ad hoc procedure on more sound mathematical ground.

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