Dynamics analysis and numerical simulations of a stochastic non-autonomous predator–prey system with impulsive effects

Specific emitter identification (SEI) is a promising technology to discriminate the individual emitter and enhance the security of various wireless communication systems. SEI is generally based on radio frequency fingerprinting (RFF) originated from the imperfection of emitter’s hardware, which is difficult to forge. SEI is generally modeled as a classification task and deep learning (DL), which exhibits powerful classification capability, has been introduced into SEI for better identification performance. In the recent years, a novel DL model, named as complex-valued neural network (CVNN), has been applied into SEI methods for directly processing complex baseband signal and improving identification performance, but it also brings high model complexity and large model size, which is not conducive to the deployment of SEI, especially in Internet-of-things (IoT) scenarios. Thus, we propose an efficient SEI method based on CVNN and network compression, and the former is for performance improvement, while the latter is to reduce model complexity and size with ensuring satisfactory identification performance. Simulation results demonstrated that our proposed CVNN-based SEI method is superior to the existing DL-based methods in both identification performance and convergence speed, and the identification accuracy of CVNN can reach up to nearly 100% at high signal-to-noise ratios (SNRs). In addition, SlimCVNN just has 10% $\sim 30$ % model sizes of the basic CVNN, and its computing complexity has different degrees of decline at different SNRs; there is almost no performance gap between SlimCVNN and CVNN. These results demonstrated the feasibility and potential of CVNN and model compression.

An Efficient Specific Emitter Identification Method Based on Complex-Valued Neural Networks and Network Compression

On the euler's constant

Large-scale real-world radio signal recognition with deep learning

In this paper, we obtain the existence of at least two nontrivial solutions for a Robin-type differential inclusion problem involving p(x)-Laplacian type operator and nonsmooth potentials. Our approach is variational, and it is based on the nonsmooth critical point theory for locally Lipschitz functions. Copyright © 2013 John Wiley & Sons, Ltd.

Multiple solutions for a Robin-type differential inclusion problem involving the p (x )-Laplacian

With the development of the Internet of Things (IoT) technology and the rapid deployment of 5G wireless, more and more radiation devices are appearing in the increasingly complex electromagnetic environment. To be able to manage these devices in a unified manner, accurate identification of the devices has become a top priority. Specific emitter identification (SEI) is to effectively solve this problem. In this paper, both power spectral density (PSD) and fractional Fourier transform (FrFT) methods are used to extract the characteristics of transient signals. The characteristics of steady-state signals are analyzed by the bispectrum method. The SEI system model in this paper is constructed based on these techniques. Our experiments results show that when the SNR is 16dB, the SEI system can achieve a recognition accuracy of over 97% by exploiting the characteristics of the transient signal. Since the characteristics of the steady-state signal can better suppress noise, the SEI system can achieve a nearly 90% classification recognition accuracy under extremely low SNR.

Wireless Device Identification Based on Radio Frequency Fingerprint Features.

In this paper, we consider the differential inclusion in $${\mathbb{R}^N}$$
 involving the p(x)-Laplacian of the type $${\begin{array}{lll}-\triangle_{p(x)} u+V(x)|u|^{p(x)-2}u\in \partial F(x,u(x)),\;\;{\rm in}\;\;\mathbb{R}^N,\quad\quad\quad\quad\quad\quad ({\rm P})\end{array}}$$
 where $${p: \mathbb{R}^N \to {\mathbb{R}}}$$
 is Lipschitz continuous function satisfying some given assumptions. The approach used in this paper is the variational method for locally Lipschitz functions. Under suitable oscillatory assumptions on the potential F at zero or at infinity, we show the existence of infinitely many solutions of (P). We also establish a Bartsch-Wang type compact embedding theorem for variable exponent spaces.

Infinitely many solutions for a differential inclusion problem in {\mathbb{R}^N} involving p(x)-Laplacian and oscillatory terms

In this paper we study the nonlinear elliptic problem driven by p ( x ) -Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality), that is (P) { − div ( ‖ ∇ u ( x ) ‖ R N p ( x ) − 2 ∇ u ( x ) ) ∈ ∂ j ( x , u ( x ) ) , a.a.  x ∈ Ω , u = 0 , on  ∂ Ω , where Ω ⊂ R N is a bounded domain and p : Ω ¯ → R is a continuous function satisfying some given assumptions. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass Theorem and Mountain Pass Theorem are used to prove the existence of at least two nontrivial solutions. Finally, we obtain the existence of at least two nontrivial solutions of constant sign.

Multiple solutions for inequality Dirichlet problems by the p(x)-Laplacian☆

In this paper, we investigate the existence of infinitely many solutions for the following double phase problem $$\begin{aligned} \left\{ \begin{array}{l@{\quad }l} -\mathrm{div}(|\nabla u|^{p-2}\nabla u+a(x)|\nabla u|^{q-2}\nabla u)= f(x,u),&{}\hbox {in }\;\Omega , \\ u=0, &{}\hbox {on }\;\partial \Omega , \end{array} \right. \end{aligned}$$where $$N\ge 2$$ and $$1<p<q<N$$. Based on a direct sum decomposition of a space $$W_0^{1,H}(\Omega )$$, we prove that the above problem possesses multiple solutions under mild assumptions on a and f. The primitive of the nonlinearity f is of super-q growth near infinity in u and allowed to be sign-changing. Furthermore, our assumptions are suitable and different from those studied previously.

Bin Ge

Papers

Multiple solutions for a Robin-type differential inclusion problem involving the p (x )-Laplacian

Wireless Device Identification Based on Radio Frequency Fingerprint Features.

Infinitely many solutions for a differential inclusion problem in {\mathbb{R}^N} involving p(x)-Laplacian and oscillatory terms

Multiple solutions for inequality Dirichlet problems by the p(x)-Laplacian☆

Existence of infinitely many solutions for double phase problem with sign-changing potential