The nonlinearity of the blood oxygenation level-dependent (BOLD) response to stimuli of different duration, particularly those of short duration, has been well studied by functional magnetic resonance imaging (fMRI). This nonlinearity is assumed to be due to neural adaptation and the nonlinearity of the response in the oxygen extraction fraction (OEF); the latter has not been examined quantitat...

We study the Cauchy problem for Schrödinger equations with repulsive quadratic potential and power-like nonlinearity. The local problem is well-posed in the same space as that used when a confining harmonic potential is involved. For a defocusing nonlinearity, it is globally well-posed, and a scattering theory is available, with no long range effect for any superlinear nonlinearity. When the no...

Nonlinearity exists in intracochlear pressure responses close to the cochlea's sensory tissue. Its characteristics are much like those of basilar membrane motion nonlinearity. Here several aspects of the pressure nonlinearity in the base of the gerbil cochlea are illustrated.

We extend retrospective cost adaptive control (RCAC) with auxiliary nonlinearities to command following for uncertain Hammerstein systems with non-monotonic input nonlinearities. We assume that only one Markov parameter of the linear plant is known and that the non-monotonic input nonlinearity is uncertain. Auxiliary nonlinearities are used within RCAC to account for the non-monotonic input non...

This paper presents a 12-bit 150-MHz current steering DAC with hierarchical symmetrical switching sequence that compensates gradient errors. The circuit of the DAC employs segmented architecture; the least significant bits (LSBs) steer a binary weighted array, while the most significant bits (MSBs) are thermometer decoded and steer a unary array. The measured differential nonlinearity and integ...

A 10-bit 140MS/s digital-to-analog converter (DAC) with improved current mirror is presented. In order to improve the resolusion of a 10-bit DAC, a segmented decoding plus R-2R architecture will be introduced. DAC system modeling shows that the dynamic performance of the DAC is strongly dependent on the output impedance of DAC current source. The gain-boosting technique is applied to increase t...

We study the Cauchy problem for Schrödinger equations with repulsive quadratic potential and power-like nonlinearity. The local problem is well-posed in the same space as that used when a confining harmonic potential is involved. For a defocusing nonlinearity, it is globally well-posed, and a scattering theory is available, with no long range effect for any superlinear nonlinearity. When the no...

A quantitative analysis of the effects of nonlinearity in an open loop amplifier on the linearity of negative feedback amplifiers is presented. Results show that the ratio of the open-loop nonlinearity (OLN) to the closedloop nonlinearity (CLN) in the presence of varying amounts of secondand third-order nonlinearities in the open loop amplifier is quantified. Results show that for the same amou...

In this paper a new approach to the measurement and compensation of the soft components of the integral nonlinearity (INL) of the ADC in the time domain is presented, using both sine and triangular waves. Connection will be established between the user oriented nonlinear description based on memoryless nonlinear models using orthogonal polynomial series and the manufacturer oriented specificati...

A novel self-trimming algorithm for A/D converters [1,2] has been presented which continually trims thresholds in the flash A/D subconverters of two-stage and pipelined A/D converters. Roughly speaking, it trims thresholds up or down by small increments in such a way as to smooth out irregularities in the code density. This paper presents the mathematical analysis and design of the algorithm. T...