This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furt...

We propose in this paper a recursive filtering structure that drastically reduces the computational effort required for smoothing, performing the first and second directional derivatives or carrying out the Laplacian of an image. These operations are done with a fixed number of multiplications and additions per output point independently of the size of the neighborhood considered. The key to ou...

Bandpass filters (BPFs) are very important to extract target signals and eliminate noise from the received signals. A BPF of which frequency characteristics is a sum Gaussian functions called mixture (GMBPF). In this research, we propose implement GMBPF approximately by several components sliding Fourier transform (SFT) or attenuated SFT (ASFT). Because component SFT/ASFT can be realized using ...

Abstract This paper proposes low complexity detection for internet of underwater things communication. The signal is transmitted from the source to destination using several sensors. To simplify computational operations at transmitter and sensory nodes, a single carrier frequency domain equalizer proposed amplify-and-forward protocols are employed. Fast Fourier transform use cyclic prefix also ...

Abstract Wannier interpolation is a powerful tool for performing Brillouin zone integrals over dense grids of k points, which are essential to evaluate such quantities as the intrinsic anomalous Hall conductivity or Boltzmann transport coefficients. However, more complex physical problems and materials create harder numerical challenges, computations with existing codes become very expensive, o...

finite normalized tight frames are interesting because they provide decompositionsin applications and some physical interpretations. in this article,we give a recursive method for constructing them.

Finite normalized tight frames are interesting because they provide decompositions in applications and some physical interpretations. In this article, we give a recursive method for constructing them.

Efficient recursive smoothing algorithms are developed for isotropic random fields that can be obtained by passing white noise through rational filters. The 2-D estimation problem is shown to be equivalent to a countably infinite set of I-D separable two-point boundary value smoothing problems. The 1-D smoothing problems are solved using a Markovianization approach followed by a standard I-D sm...

‎By observing the equivalence of assertions on determining the jump of a‎ ‎function by its differentiated or integrated Fourier series‎, ‎we generalize a‎ ‎previous result of Kvernadze‎, ‎Hagstrom and Shapiro to the whole class of‎ ‎functions of harmonic bounded variation‎. ‎This is achieved without the finiteness assumption on‎ ‎the number of discontinuities‎. ‎Two results on determination of ...