The Experts below are selected from a list of 15 Experts worldwide ranked by ideXlab platform
Radko Mesiar - One of the best experts on this subject based on the ideXlab platform.
-
On Linearity of pan-Integral and pan-integrable functions space
arXiv: Functional Analysis, 2016Co-Authors: Yao Ouyang, Radko MesiarAbstract:$L\sp{p}$ space is a crucial aspect of classical measure theory. For nonadditive measure, it is known that $L\sp{p}$ space theory holds for the Choquet Integral whenever the monotone measure $\mu$ is submodular and continuous from below. The main purpose of this paper is to generalize $L\sp{p}$ space theory to $+,\cdot$-based pan-Integral. Let $(X, {\cal A}, \mu)$ be a monotone measure space. We prove that the $+,\cdot$-based pan-Integral is additive with respect to integrands if $\mu$ is subadditive. Then we introduce the pan-Integral for real-valued functions(not necessarily nonnegative), and prove that this Integral possesses Linearity if $\mu$ is subadditive. By using the Linearity of pan-Integral, we finally show that all of the pan-integrable functions form a Banach space. Since the $+,\cdot$-based pan-Integral coincides with the concave Integral for subadditive measure, the results obtained in this paper remain valid for the concave Integral. Noticing that an outer measure is subadditive, we can define a Lebesgue-like Integral(possesses Linearity) from an outer measure, and the $L\sp{p}$ theory holds for this Integral. {\it Keywords:} Monotone measure; Subadditivity; Pan-Integral; Linearity; Pan-integrable space; Completeness
Yao Ouyang - One of the best experts on this subject based on the ideXlab platform.
-
On Linearity of pan-Integral and pan-integrable functions space
arXiv: Functional Analysis, 2016Co-Authors: Yao Ouyang, Radko MesiarAbstract:$L\sp{p}$ space is a crucial aspect of classical measure theory. For nonadditive measure, it is known that $L\sp{p}$ space theory holds for the Choquet Integral whenever the monotone measure $\mu$ is submodular and continuous from below. The main purpose of this paper is to generalize $L\sp{p}$ space theory to $+,\cdot$-based pan-Integral. Let $(X, {\cal A}, \mu)$ be a monotone measure space. We prove that the $+,\cdot$-based pan-Integral is additive with respect to integrands if $\mu$ is subadditive. Then we introduce the pan-Integral for real-valued functions(not necessarily nonnegative), and prove that this Integral possesses Linearity if $\mu$ is subadditive. By using the Linearity of pan-Integral, we finally show that all of the pan-integrable functions form a Banach space. Since the $+,\cdot$-based pan-Integral coincides with the concave Integral for subadditive measure, the results obtained in this paper remain valid for the concave Integral. Noticing that an outer measure is subadditive, we can define a Lebesgue-like Integral(possesses Linearity) from an outer measure, and the $L\sp{p}$ theory holds for this Integral. {\it Keywords:} Monotone measure; Subadditivity; Pan-Integral; Linearity; Pan-integrable space; Completeness
Shuyuan Chin - One of the best experts on this subject based on the ideXlab platform.
-
a 10 b 125 mhz cmos digital to analog converter dac with threshold voltage compensated current sources
IEEE Journal of Solid-state Circuits, 1994Co-Authors: Shuyuan ChinAbstract:This paper describes a 10-b high-speed COMS DAC fabricated by 0.8-/spl mu/m double-poly double-metal CMOS technology. In the DAC, a new current source called the threshold-voltage compensated current source is used in the two-stage current array to reduce the Linearity error caused by inevitable current variations of the current sources. In the two-stage weighted current array, only 32 master and 32 slave unit current sources are required. Thus silicon area and stray capacitance can be reduced significantly. Experimental results show that a conversion rate of 125 MHz is achievable with differential and Integral Linearity errors of 0.21 LSB and 0.23 LSB, respectively. The power consumption is 150 mW for a single 5-V power supply. The rise/fall time is 3 ns and the full-scale settling time to /spl plusmn/1/2 LSB is within 8 ns. The chip area is 1.8 mm/spl times/1.0 mm. >
N. Seguin Moreau - One of the best experts on this subject based on the ideXlab platform.
-
Electronics calibration board for the ATLAS liquid argon calorimeters
Nuclear Instruments and Methods in Physics Research Section A: Accelerators Spectrometers Detectors and Associated Equipment, 2008Co-Authors: J. Colas, N. Dumont-dayot, J.f. Marchand, N. Massol, P. Perrodo, I. Wingerter-seez, C. De La Taille, P. Imbert, J.p Richer, N. Seguin MoreauAbstract:To calibrate the energy response of the ATLAS liquid argon calorimeter, an electronics calibration board has been designed; it delivers a signal whose shape is close to the calorimeter ionization current signal with amplitude up to 100 mA in 50 Ω with 16 bit dynamic range. The amplitude of this signal is designed to be uniform over all calorimeters channels, stable in time and with an Integral Linearity much better that the electronics readout. The various R&D phases and most of the difficulties met are discussed and illustrated by many measurements. The custom design circuits are described and the layout of the ATLAS calibration board presented. The procedure used to qualify the boards is explained and the performance obtained illustrated: a dynamic range up to 3 TeV in three energy scales with an Integral Linearity better than 0.1% in each of them, a response uniformity better than 0.2% and a stability better than 0.1%. The performance of the board is well within the ATLAS requirements. Finally, in situ measurements done on the ATLAS calorimeter are shown to validate these performances.
J. Colas - One of the best experts on this subject based on the ideXlab platform.
-
Electronics calibration board for the ATLAS liquid argon calorimeters
Nuclear Instruments and Methods in Physics Research Section A: Accelerators Spectrometers Detectors and Associated Equipment, 2008Co-Authors: J. Colas, N. Dumont-dayot, J.f. Marchand, N. Massol, P. Perrodo, I. Wingerter-seez, C. De La Taille, P. Imbert, J.p Richer, N. Seguin MoreauAbstract:To calibrate the energy response of the ATLAS liquid argon calorimeter, an electronics calibration board has been designed; it delivers a signal whose shape is close to the calorimeter ionization current signal with amplitude up to 100 mA in 50 Ω with 16 bit dynamic range. The amplitude of this signal is designed to be uniform over all calorimeters channels, stable in time and with an Integral Linearity much better that the electronics readout. The various R&D phases and most of the difficulties met are discussed and illustrated by many measurements. The custom design circuits are described and the layout of the ATLAS calibration board presented. The procedure used to qualify the boards is explained and the performance obtained illustrated: a dynamic range up to 3 TeV in three energy scales with an Integral Linearity better than 0.1% in each of them, a response uniformity better than 0.2% and a stability better than 0.1%. The performance of the board is well within the ATLAS requirements. Finally, in situ measurements done on the ATLAS calorimeter are shown to validate these performances.