Analysis of moving source characteristics using polynomial chirplet transform

Attenuation Analysis of Lamb Waves Using the Chirplet Transform

1 Institute of Mathematics and Computing Science, University of Groningen, 9700 AV Groningen, The Netherlands 2 Institute of Applied and Experimental Mechanics, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany 3Computer Science Department, University of North Carolina, Chapel Hill, NC 27599-3175, USA 4School of Civil and Environmental Engineering and G.W.Woodruff School of M...

The chirplet transform: physical considerations

AbstructWe 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 irise 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 Perspectives: the “chirplet” Transform

We have developed a new expansion’ we call the “chirplet transform”. It has been successfully applied to a wide variety of signal processing applications including radar[l] and image processing. There has been a recent debate as to the relative merits of an affine-in-time (wavelet) transform and the classical Short Time Fourier Transform (STFT), for the analysis of non-stationary phenomena. Chi...

The Chirplet Transform: A Generalization of Gabor’s Logon Transform

We propose a novel transform, an expansion of an arbitrary function onto a basis of multi-scale chirps (swept frequency wave packets). We apply this new transform to a practical problem in marine radar: the detection of floating objects by their "acceleration signature" (the "chirpyness" of their radar backscatter), and obtain results far better than those previously obtained by other current D...

Adaptive "chirplet" transform: an adaptive generalization of the wavelet transform