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• W2117761544 startingPage "2745" @default.
• W2117761544 abstract "We consider a multidimensional parameter space formed by inner products of a parameterizable family of chirp functions with a signal under analysis. We propose the use of quadratic chirp functions (which we will call q-chirps for short), giving rise to a parameter space that includes both the time-frequency plane and the time-scale plane as 2-D subspaces. The parameter space contains a time-frequency-scale volume and thus encompasses both the short-time Fourier transform (as a slice along the time and frequency axes) and the wavelet transform (as a slice along the time and scale axes). In addition to time, frequency, and scale, there are two other coordinate axes within this transform space: shear in time (obtained through convolution with a q-chirp) and shear in frequency (obtained through multiplication by a q-chirp). Signals in this multidimensional space can be obtained by a new transform, which we call the q-chirplet transform or simply the chirplet transform. The proposed chirplets are generalizations of wavelets related to each other by 2-D affine coordinate transformations (translations, dilations, rotations, and shears) in the time-frequency plane, as opposed to wavelets, which are related to each other by 1-D affine coordinate transformations (translations and dilations) in the time domain only." @default.
• W2117761544 created "2016-06-24" @default.
• W2117761544 creator A5040530780 @default.
• W2117761544 creator A5041608494 @default.
• W2117761544 date "1995-01-01" @default.
• W2117761544 modified "2023-09-30" @default.
• W2117761544 title "The chirplet transform: physical considerations" @default.
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• W2117761544 doi "https://doi.org/10.1109/78.482123" @default.
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