One-class classifier for HFGWR ship detection using similarity-dissimilarity representation
IEA/AIE'2005 Proceedings of the 18th international conference on Innovations in Applied Artificial Intelligence
A new subclass of complex-valued S-transform windows
Signal Processing - Special section: Advances in signal processing-assisted cross-layer designs
The fan-chirp transform for non-stationary harmonic signals
Signal Processing
Acceleration-based Dopplerlet transform-Part I: Theory
Signal Processing
Fpga-based hardware/software co-design for chirplet signal decomposition
Proceedings of the 18th ACM Great Lakes symposium on VLSI
A new time-frequency transform for non-stationary signals with any nonlinear instantaneous phase
Multidimensional Systems and Signal Processing
Conditional spectral moments in matching pursuit based on the chirplet elementary function
Digital Signal Processing
Segmentation of killer whale vocalizations using the Hilbert-Huang transform
EURASIP Journal on Advances in Signal Processing
Modified adaptive Chirplet decomposition with application in ISAR imaging of maneuvering targets
EURASIP Journal on Advances in Signal Processing
Matched representations and filters for guided waves
IEEE Transactions on Signal Processing
Environmental sound classification based on feature collaboration
ICME'09 Proceedings of the 2009 IEEE international conference on Multimedia and Expo
ISAR imaging for three-dimensional rotation targets based on adaptive Chirplet decomposition
Multidimensional Systems and Signal Processing
On the analytic wavelet transform
IEEE Transactions on Information Theory
Approximating the time-frequency representation of biosignals with chirplets
EURASIP Journal on Advances in Signal Processing - Special issue on applications of time-frequency signal processing in wireless communications and bioengineering
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I
Power quality disturbance detection and classification using chirplet transforms
SEAL'06 Proceedings of the 6th international conference on Simulated Evolution And Learning
Time-frequency analysis of signals using support adaptive Hermite-Gaussian expansions
Digital Signal Processing
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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