• Title/Summary/Keyword: Successive Approximation

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Design of an optimal controller for the discrete time bilinear system by using a successive approximation method (이산시 쌍일차 계통에서 연속적 근사화 방법을 이용한 최적제어기 설계)

  • Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.591-593
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    • 1999
  • The finite time optimum regulation problem of a discrete time bilinear system with a quadratic performance criterion is obtained in terms of a sequence discrete algebraic Lyapunov equations. Our new method is based on the successive approximations. This algorithm saves the computation time to solve the optimal problem, and the design procedure is illustrated for an example.

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A 10-bit 10-MS/s Asynchronous SAR analog-to-digital converter with digital-to-analog converter using MOM capacitor (MOM 커패시터를 사용한 디지털-아날로그 변환기를 가진 10-bit 10-MS/s 비동기 축차근사형 아날로그-디지털 변환기)

  • Jeong, Yeon-Ho;Jang, Young-Chan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.1
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    • pp.129-134
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    • 2014
  • This paper presents a 10-bit 10-MS/s asynchronous successive approximation register (SAR) analog-to-digital converter (ADC) which consists of a digital-to-analog converter (DAC), a SAR logic, and a comparator. The designed asynchronous SAR ADC with a rail-to-rail input range uses a binary weighted DAC using metal-oxide-metal (MOM) capacitor to improve sampling rate. The proposed 10-bit 10-MS/s asynchronous SAR ADC is fabricated using a 0.18-${\mu}m$ CMOS process and its active area is $0.103mm^2$. The power consumption is 0.37 mW when the voltage of supply is 1.1 V. The measured SNDR are 54.19 dB and 51.59 dB at the analog input frequency of 101.12 kHz and 5.12 MHz, respectively.

A 10-bit 10-MS/s 0.18-um CMOS Asynchronous SAR ADC with Time-domain Comparator (시간-도메인 비교기를 이용하는 10-bit 10-MS/s 0.18-um CMOS 비동기 축차근사형 아날로그-디지털 변환기)

  • Jeong, Yeon-Hom;Jang, Young-Chan
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.05a
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    • pp.88-90
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    • 2012
  • This paper describes a 10-bit 10-MS/s asynchronous successive approximation register (SAR) analog-to-digital converter (ADC) with a rail-to-rail input range. The proposed SAR ADC consists of a capacitor digital-analog converter (DAC), a SAR logic and a comparator. To reduce the frequency of an external clock, the internal clock which is asynchronously generated by the SAR logic and the comparator is used. The time-domain comparator with a offset calibration technique is used to achieve a high resolution. To reduce the power consumption and area, a split capacitor-based differential DAC is used. The designed asynchronous SAR ADC is fabricated by using a 0.18 um CMOS process, and the active area is $420{\times}140{\mu}m^2$. It consumes the power of 0.818 mW with a 1.8 V supply and the FoM is 91.8 fJ/conversion-step.

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Low Power 31.6 pJ/step Successive Approximation Direct Capacitance-to-Digital Converter (저전력 31.6 pJ/step 축차 근사형 용량-디지털 직접 변환 IC)

  • Ko, Youngwoon;Kim, Hyungsup;Moon, Youngjin;Lee, Byuncheol;Ko, Hyoungho
    • Journal of Sensor Science and Technology
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    • v.27 no.2
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    • pp.93-98
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    • 2018
  • In this paper, an energy-efficient 11.49-bit successive approximation register (SAR) capacitance-to-digital converter (CDC) for capacitive sensors with a figure of merit (FoM) of 31.6 pJ/conversion-step is presented. The CDC employs a SAR algorithm to obtain low power consumption and a simplified structure. The proposed circuit uses a capacitive sensing amplifier (CSA) and a dynamic latch comparator to achieve parasitic capacitance-insensitive operation. The CSA adopts a correlated double sampling (CDS) technique to reduce flicker (1/f) noise to achieve low-noise characteristics. The SAR algorithm is implemented in dual operating mode, using an 8-bit coarse programmable capacitor array in the capacitance-domain and an 8-bit R-2R digital-to-analog converter (DAC) in the charge-domain. The proposed CDC achieves a wide input capacitance range of 29.4 pF and a high resolution of 0.449 fF. The CDC is fabricated in a $0.18-{\mu}m$ 1P6M complementary metal-oxide-semiconductor (CMOS) process with an active area of 0.55 mm2. The total power consumption of the CDC is $86.4{\mu}W$ with a 1.8-V supply. The SAR CDC achieves a measured 11.49-bit resolution within a conversion time of 1.025 ms and an energy-efficiency FoM of 31.6 pJ/step.

A 10-bit 10-MS/s 0.18-㎛ CMOS Asynchronous SAR ADC with split-capacitor based differential DAC (분할-커패시터 기반의 차동 디지털-아날로그 변환기를 가진 10-bit 10-MS/s 0.18-㎛ CMOS 비동기 축차근사형 아날로그-디지털 변환기)

  • Jeong, Yeon-Ho;Jang, Young-Chan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.2
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    • pp.414-422
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    • 2013
  • This paper describes a 10-bit 10-MS/s asynchronous successive approximation register (SAR) analog-to-digital converter (ADC) using a split-capacitor-based differential digital-to-analog converter (DAC). SAR logic and comparator are asynchronously operated to increase the sampling frequency. The time-domain comparator with an offset calibration technique is used to achieve a high resolution. The proposed 10-bit 10-MS/s asynchronous SAR ADC with the area of $140{\times}420{\mu}m^2$ is fabricated using a 0.18-${\mu}m$ CMOS process. Its power consumption is 1.19 mW at 1.8 V supply. The measured SNDR is 49.95 dB for the analog input frequency of 101 kHz. The DNL and INL are +0.57/-0.67 and +1.73/-1.58, respectively.

Double Rail-to-Rail NTV SAR ADC (두 배의 Rail-to-Rail 입력 범위를 갖는 NTV SAR ADC)

  • Jo, Yong-Jun;Seong, Kiho;Seo, In-Shik;Baek, Kwang-Hyun
    • Journal of IKEEE
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    • v.22 no.4
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    • pp.1218-1221
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    • 2018
  • This paper presents a low-power 0.6-V 10-bit 200-kS/s double rail-to-rail successive approximation register (SAR) analog-to-digital converter (ADC). The proposed scheme allows input signal with 4 times power which is compared with conventional one by applying proposed rail-to-rail scheme, and that improves signal-to-noise ratio(SNR) of NTV SAR ADCs. The prototype was designed using 65-nm CMOS technology. At a 0.6-V supply and $2.4-V_{pp}$ (differential) and 200-kS/s, the ADC achieves an SNDR of 59.87 dB and consumes 364.5-nW. The ADC core occupies an active area of only $84{\times}100{\mu}m^2$.

ON THE CONVERGENCE OF NEWTON'S METHOD AND LOCALLY HOLDERIAN INVERSES OF OPERATORS

  • Argyros, Ioannis K.
    • The Pure and Applied Mathematics
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    • v.16 no.1
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    • pp.13-18
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    • 2009
  • A semilocal convergence analysis is provided for Newton's method in a Banach space. The inverses of the operators involved are only locally $H{\ddot{o}}lderian$. We make use of a point-based approximation and center-$H{\ddot{o}}lderian$ hypotheses for the inverses of the operators involved. Such an approach can be used to approximate solutions of equations involving nonsmooth operators.

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ON THE CONVERGENCE OF NEWTON'S METHOD AND LOCALLY $H{\ddot{O}}LDERIAN$ OPERATORS

  • Argyros, Ioannis K.
    • The Pure and Applied Mathematics
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    • v.15 no.2
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    • pp.111-120
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    • 2008
  • A semi local convergence analysis is provided for Newton's method in a Banach space setting. The operators involved are only locally Holderian. We make use of a point-based approximation and center-Holderian hypotheses. This approach can be used to approximate solutions of equations involving nonsmooth operators.

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A SUCCESSIVE QUADRATIC PROGRAMMING ALGORITHM FOR SDP RELAXATION OF THE BINARY QUADRATIC PROGRAMMING

  • MU XUEWEN;LID SANYANG;ZHANG YALING
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.837-849
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    • 2005
  • In this paper, we obtain a successive quadratic programming algorithm for solving the semidefinite programming (SDP) relaxation of the binary quadratic programming. Combining with a randomized method of Goemans and Williamson, it provides an efficient approximation for the binary quadratic programming. Furthermore, its convergence result is given. At last, We report some numerical examples to compare our method with the interior-point method on Maxcut problem.