• Kyungpook Mathematical Journal
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• v.29 no.2
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• pp.141-147
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• 1989

The existence and uniqueness of solutions of nonlinear Volterra-Fred-holm integral equations of the more general type are investigated. The main tool employed in our analysis is the method of successive approximation based on the general idea of T.Wazewski.

• Journal of IKEEE
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• v.22 no.2
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• pp.514-517
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• 2018

In sensor systems, ADC (analog-to-digital converter) demands high resolution, low power consumption, and high signal bandwidth. Sigma-delta ADC achieves high resolution by high order structure and high over-sampling ratio, but it suffers from high power consumption and low signal bandwidth. SAR (successive-approximation-register) ADC achieves low power consumption, but there is a limitation to achieve high resolution due to process mismatch. This paper surveys architecture improvement of ADC to overcome these problems.

• Proceedings of the Korea Information Processing Society Conference
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• 2005.05a
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• pp.1765-1768
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• 2005

Binary-search 알고리즘을 이용한 새로운 6-bit 300MS/s ADC 를 제안 하였다. 본 연구에서 제안된 ADC 는 저전력, 고속동작, 저해상도의 응용분야에 적합하도록 설계 되었다. 11 개의 rail-to-rail 비교기와 기준전압 발생기, 그리고 기준전압 제어회로로 구성 되었으며, 이는 기존의 구조와는 다른 전혀 새로운 형태로 제안된 것이다. 전력소모를 줄이기 위해 비교기 공유기술을 사용하였다. 또한 ADC 의 sub-block 인 rail-to-rail 비교기는 인버터 logic threshold 전압 값을 이용한 새로운 형태의 비교기를 제안하였다. 비교기는 인버터와 n-type preamp, p-type preamp 그리고 각각에 연결되는 latch 로 구성되었다. 기존의 rail-to-rail comparator 에 비해 입력 범위 전체 영역에서 일정한 gm 값을 얻을 수 있다. 실험결과 2.5V 공급전압에서, 17mW 의 전력 소모를 보이며, 최대 304MS/s 의 데이터 변환율을 가진다. INL 과 DNL 은 입력신호가 2.38Mhz 의 주파수를 가지는 삼각파일 때, 각각 ${\pm}0.54LSB$, ${\pm}1LSB$ 보다 작다. TSMC 0.25u 공정을 이용하였다.

• Journal of Sensor Science and Technology
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• v.27 no.1
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• pp.31-35
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• 2018

This paper describes a low-power, SNDR (signal-to-noise and distortion ration) enhanced SAR (successive approximation register) type 12b ADC (analog-to-digital converter) with noise shaping technique. For low power consumption and small chip size of the DAC (digital-to-analog converter), the top plate sampling technique and the dummy capacitor switching technique are used to implement 12b operation with a 10b capacitor array in DAC. Noise shaping technique is applied to improve the SNDR by reducing the errors from the mismatching of DAC capacitor arrays, the errors caused by attenuation capacitor and the errors from the comparator noise. The proposed SAR ADC is designed with a $0.18{\mu}m$ CMOS process. The simulation results show that the SNDR of the SAR ADC without the noise shaping technique is 71 dB and that of the SAR ADC with the noise shaping technique is 84 dB. We can achieve the 13 dB improvement in SNDR with this noise shaping technique. The power consumption is $73.8{\mu}W$ and the FoM (figure-of-merit) is 5.2fJ/conversion-step.

• Communications of the Korean Institute of Information Scientists and Engineers
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• v.1 no.1
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• pp.72-74
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• 1983

Traditionally, polynomials have been used to approximte functions with prescribed values at a number of points(called the knots) on a given interal on the real line. The method of splines recently developed is more flexible. It approximates a function in a piece-wise fashion, by means of a different polynomial in each subinterval. The cubic spline gas ets origins in beam theory. It possessed continuous first and second deriatives at the knots and is characterised by a minimum curvature property which es rdlated to the physical feature of minimum potential energy of the supported beam. Translated into mathematical terms, this means that between successive knots the approximation yields a third-order polynomial sith its first derivatives continuous at the knots. The minimum curvature property holds good for each subinterval as well as for the whole region of approximation This means that the integral of the square of the second derivative over the entire interval, and also over each subinterval, es to be minimized. Thus, the task of determining the spline lffers itself as a textbook problem in discrete computer programming, since the integral of ghe square of the second derivative can be obviously recognized as the criterion function whicg gas to be minimized. Starting with the initial value of the function and assuming an initial solpe of the curve, the minimum norm property of the curvature makes sequential decision of the slope at successive knots (points) feasible. It is the aim of this paper to derive the cubic spline by the methods of computer programming and show that the results which is computed the all the alues in each subinterval of the spline approximations.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.17 no.11
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• pp.3204-3217
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• 2023

In this paper, the downlink of the multicast based spatial modulation systems is investigated. Specifically, physical layer multicasting is introduced to increase the number of access users and to improve the communication rate of the spatial modulation system in which only single radio frequency chain is activated in each transmission. To minimize the bit error rate (BER) of the multicast based spatial modulation system, a joint optimizing algorithm of antenna selection and multicast precoding is proposed. Firstly, the joint optimization is transformed into a mixed-integer non-linear program based on single-stage reformulation. Then, a novel iterative algorithm based on the idea of branch and bound is proposed to obtain the quasioptimal solution. Furthermore, in order to balance the performance and time complexity, a low-complexity deflation algorithm based on the successive convex approximation is proposed which can obtain a sub-optimal solution. Finally, numerical results are showed that the convergence of our proposed iterative algorithm is between 10 and 15 iterations and the signal-to-noise-ratio (SNR) of the iterative algorithm is 1-2dB lower than the exhaustive search based algorithm under the same BER accuracy conditions.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.41 no.2
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• pp.65-72
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• 2004

In this paper, we propose a new blind image watermarking method in wavelet domain. It is necessary to find out watermark insertion location in blind watermark. To select the watermark embedding locations, we use the increment and decrement information of the successive approximation coefficients after discrete wavelet transformed. In order to evaluate the proposed algorithm we embed watermark into test images and detect the watermark after attacks like JPEG lossy compression and performing of various liters. Experimental results show that the proposed method is robust against various kinds of attacks and still remains transparency.

• The Transactions of the Korean Institute of Electrical Engineers C
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• v.49 no.11
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• pp.616-621
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• 2000

This paper deals with the multiresolution analysis of wavelet transform for partial discharge(PD). Test arrangement is based on the needle-plane electrode system and applied AC high voltage. The measured PD signal was decomposed into "approximations" and "details". The approximation are the high scale, low-frequency components of the PD signal. The details are the low-scale, high frequency components. The decomposition process are iterated to 3 level, with successive approximation being decomposed in turn, so that PD signal is broken down into many lower-resolution components. Through the procedure of signal wavelet transform, signal noise extraction and signal reconstruction, the signal is analyzed to determine the magnitude of PD.

• Journal of IKEEE
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• v.13 no.1
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• pp.77-86
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• 2009

A wavelet Electrocardiogram(ECG) detector and its analog-to-digital converter(ADC) for low-power implantable cardiac pacemakers are presented in this paper. The proposed wavelet-based ECG detector consists of a wavelet decomposer with wavelet filter banks, a QRS complex detector of hypothesis testing with wavelet-demodulated ECG signals, and a noise detector with zero-crossing points. To achieve high-detection performance with low-power consumption, the multi-scaled product algorithm and soft-threshold algorithm are efficiently exploited. To further reduce the power dissipation, a low-power ADC, which is based on a Successive Approximation Register(SAR) architecture with an on/off-time controlled comparator and passive sample and hold, is also presented. Our algorithmic and architectural level approaches are implemented and fabricated in standard $0.35{\mu}m$ CMOS technology. The testchip shows a good detection accuracy of 99.32% and very low-power consumption of $19.02{\mu}W$ with 3-V supply voltage.

• Journal of applied mathematics & informatics
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• v.4 no.2
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• pp.447-456
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• 1997

In this paper an accurate algorithm for the method of successive approximations for near-parabolic orbits is established symbolically. Numerical applications are given for motion predictions at fifteen epochs between the years 66 to 1835 for Halley's comet. and at fifteen epochs between the years 1417 to 1782 for Encke's comet. Comparisons with the standard Gauss method [4] show that the present algorithm is very accurate and efficient for motion pred-ications of near-parabolic orbits.