Conventionally, the integral non-linearity of an analogue to digital converter (ADC) is measured using a pure sine wave test signal [1]. The measured amplitude probability distribution function (APDF) of the ADC output is compared with the ideal distribution and the differences used to calculate integral non-linearity error (INL). Accuracy of this method is limited by the practical problem of g...

This paper proposes a method to estimate the Integral Non-Linearity of AD-converters from the lower order output Fourier coeficients of a sinusoidal input. In order to get a high quality estimate, the lower order Fourier coeflcients have to be stabilized with respect to the rounding operation of the AD-converter. For this we use a computationally eficient and easily applied method named wobbling.

Optical reorientational nonlinearity in twisted nematic liquid crystalline planar waveguide is analyzed theoretically. It is shown that optical nonlinearity for guided modes in analyzed waveguides can be approximated by saturation nonlinearity. Predicted nonlinearity is large enough to observe e¤ects like spatial solitons formation with milliwatts of light power. PACS: 42.65.Wi, 42.70.Df

We investigate the security of n-bit to m-bit vectorial Boolean functions in stream ciphers. Such stream ciphers have higher throughput than those using single-bit output Boolean functions. However, as shown by Zhang and Chan at Crypto 2000, linear approximations based on composing the vector output with any Boolean functions have higher bias than those based on the usual correlation attack. In...

In this paper, we study robust cooperative output regulation problems for a directed network of Lur’e systems that consist of a nominal linear dynamics with an unknown static nonlinearity around it through negative feedback. We assume that the linear part of each agent is identical, but the nonlinearities are allowed to be different for distinct agents. In this sense, the network is heterogeneo...

Quantitative measures of the nonlinearity of an analytical method are defined as follows: the "(dimensional) nonlinearity" of a method is the square root of the mean of the square of the deviation of the response curve from a straight line, where the straight line is chosen to minimize the nonlinearity. The "relative nonlinearity" is defined as the dimensional nonlinearity divided by the differ...