Sparse Contour Representations of Sound

作者：Lim Yoonseob^*; Shinn Cunningham Barbara; Gardner Timothy J

来源：IEEE Signal Processing Letters, 2012, 19(10): 684-687.

DOI：10.1109/LSP.2012.2211012

• Adaptive filtering
• kernel optimization
• sparse representation
• time-frequency analysis

Many signals are naturally described by continuous contours in the time-frequency plane, but standard time-frequency methods disassociate continuous structures into isolated "atoms" of energy. Here we propose a method that represents any discrete time-series as a set of time-frequency contours. The edges of the contours are defined by fixed points of a generalized reassignment algorithm. These edges are linked together by continuity such that each contour represents a single phase-coherent region of the time-frequency plane. By analyzing the signal across many time-scales, an over-complete set of contours is generated, and from this redundant set of shapes the simplest, most parsimonious forms may be selected. The result is an adaptive time-frequency analysis that can emphasize the continuity of long-range structure. The proposed method is demonstrated with a few examples.

• 出版日期2012-10