Nonlinear adaptive filtering allows for modeling of some additional aspects of a general system and usually relies on highly complex algorithms, such as those based on the Volterra series. Through the use of the Kronecker product and some basic facts of tensor algebra, we propose a simple model of nonlinearity, one that can be interpreted as a product of the outputs of K FIR linear filters, and...

This paper presents the design and implementation of a new digital-to-time converter (DTC). The obtained resolution is 1.02 ps, and the dynamic range is about 590 ns. The experimental results indicate that the measured differential nonlinearity (DNL) and integral nonlinearity (INL) are −0.17~+0.13 LSB and −0.35~+0.62 LSB, respectively. This DTC builds coarse and fine Vernier delay lines constru...

Successive approximation register (SAR) analog-to-digital converters (ADCs) are widely used due to their low power consumption and area cost. However, testing SAR ADCs on an embedded chip is costly. This paper proposes a capacitance-ratio quantification design for the linearity test of differential top-plate sampling SAR ADCs. First, the pattern generator controls the switches connected to the ...

Performing a finite element analysis (FEA) on a hyperelastic material is difficult due to nonlinearity, large deformation, and material instability. This paper provides a brief review of the hyperelastic theory and discusses several important issues that should be addressed when using ANSYS. Analysis on a fatigue specimen is used as an example of one of our product development challenges upon w...

The time-frequency uncertainty principle states that the product of the temporal and frequency extents of a signal cannot be smaller than 1/(4 π). We study human ability to simultaneously judge the frequency and the timing of a sound. Our subjects often exceeded the uncertainty limit, sometimes by more than tenfold, mostly through remarkable timing acuity. Our results establish a lower bound fo...

This paper proposes some ultimate bounded stability analysis and stabilization conditions for systems involving actuators with different nonlinear elements, like for instance both saturation and dead-zone or both saturation and stick–slip. Results are based on the use of a convex differential inclusion approach. Indeed, an adequate property allowing to upper-bound some product terms related to ...

Analysis of the characteristics of agricultural product price volatility and trend forecasting are necessary to formulate and implement agricultural price control policies. Taking wholesale cabbage prices as an example, a multiple test methodology has been adopted to identify the nonlinearity, fractality, and chaos of the data. The approaches used include the R/S analysis, the BDS test, the pow...

We prove that the Cauchy problem for the dispersion generalized Benjamin-Ono equation ∂tu+ |∂x| ∂xu+ uux = 0, u(x, 0) = u0(x), is locally well-posed in the Sobolev spaces H for s > 1 − α if 0 ≤ α ≤ 1. The new ingredient is that we develop the methods of Ionescu, Kenig and Tataru [13] to approach the problem in a less perturbative way, in spite of the ill-posedness results of Molinet, Saut and T...

Optical nonlinear functions are crucial for various applications in integrated photonics, including all-optical information processing1, photonic neural networks2,3 and on-chip ultrafast light sources4,5. However, the weak native nonlinearity of most nanophotonic platforms has imposed barriers such by necessitating large driving energies, high-Q cavities or integration with other materials stro...

We report on the generation of a continuous variable Einstein-Podolsky-Rosen (EPR) entanglement using an optical fiber interferometer. The Kerr nonlinearity in the fiber is exploited for the generation of two independent squeezed beams. These interfere at a beam splitter and EPR entanglement is obtained between the output beams. The correlation of the amplitude (phase) quadratures is measured t...