A free divisor D in C is linear if its module of logarithmic vector fields has a basis of global vector fields of degree 0. It is then defined by a homogeneous polynomial of degree n and its complement is an open orbit of an algebraic subgroup GD in Gln(C). The best known example is the normal crossing divisor. Many other such divisors arise, for instance, from quiver representations. We give a...

The scattering framework offers an optimal hierarchical convolutional decomposition according to its kernels. Convolutional Neural Net (CNN) can be seen as an optimal kernel decomposition, nevertheless it requires large amount of training data to learn its kernels. We propose a trade-off between these two approaches: a Chirplet kernel as an efficient Q constant bioacoustic representation to pre...

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...

This paper considers the problem of estimating motion parameters a low-observable high-speed maneuvering target with high-order motions, where target’s complex motions will result in range migration (RM) and Doppler frequency (DFM) effects within observation time interval, which significantly affect radar performance. Based on Hough transform (HT) polynomial Chirplet (PCT), novel method for par...

Turbocharger is one of the vital parts a diesel engine causing high failure rate. Its surface vibration signal contains important time-varying features. To better process nonstationary signals with features and perform time-frequency transformation on turbocharger signal, novel multi-objective matched synchrosqueezing chirplet transform method proposed in this paper. The based Linear Chirplet T...

SAR in THz band is very important and valuable the field of radar signal processing, it much sensitive to high-frequency vibration platform due short wavelength. In this article, characterized as a multicomponent SFM signal, parameters estimation method based on linear chirplet transform empirical mode decomposition proposed compensate for errors. This can extract instantaneous frequency receiv...