TY - GEN
T1 - Power classes of quadratic time-frequency representations
T2 - Proceedings of the 27th Asilomar Conference on Signals, Systems & Computers
AU - Hlawatsch, Franz
AU - Papandreou, Antonia
AU - Boudreaux-Bartels, G. Faye
PY - 1993/12/1
Y1 - 1993/12/1
N2 - The affine and hyperbolic classes of quadratic time-frequency representations (QTFRs) are frameworks for multiresolution or constant-Q time-frequency analysis. This paper generalizes the affine and hyperbolic QTFR classes by introducing the power classes (PCs) which comprise all QTFRs that are scale-covariant and covariant to power-law time shifts. The affine and hyperbolic classes are special cases of the PCs. We show that the PCs can be obtained from the affine class through a `power warping' mapping. We discuss signal transformations related to the PCs, the description of the PCs by kernel functions, desirable properties and kernel constraints, and specific PC members.
AB - The affine and hyperbolic classes of quadratic time-frequency representations (QTFRs) are frameworks for multiresolution or constant-Q time-frequency analysis. This paper generalizes the affine and hyperbolic QTFR classes by introducing the power classes (PCs) which comprise all QTFRs that are scale-covariant and covariant to power-law time shifts. The affine and hyperbolic classes are special cases of the PCs. We show that the PCs can be obtained from the affine class through a `power warping' mapping. We discuss signal transformations related to the PCs, the description of the PCs by kernel functions, desirable properties and kernel constraints, and specific PC members.
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M3 - Conference contribution
AN - SCOPUS:0027811993
SN - 0818641207
T3 - Conference Record of the Asilomar Conference of Signals, Systems & Computers
SP - 1265
EP - 1270
BT - Conference Record of the Asilomar Conference of Signals, Systems & Computers
PB - Publ by IEEE
Y2 - 1 November 1993 through 3 November 1993
ER -