• 제목/요약/키워드: methods%3A inversion

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A comparative study of low-complexity MMSE signal detection for massive MIMO systems

  • Zhao, Shufeng;Shen, Bin;Hua, Quan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권4호
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    • pp.1504-1526
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    • 2018
  • For uplink multi-user massive MIMO systems, conventional minimum mean square error (MMSE) linear detection method achieves near-optimal performance when the number of antennas at base station is much larger than that of the single-antenna users. However, MMSE detection involves complicated matrix inversion, thus making it cumbersome to be implemented cost-effectively and rapidly. In this paper, we first summarize in detail the state-of-the-art simplified MMSE detection algorithms that circumvent the complicated matrix inversion and hence reduce the computation complexity from ${\mathcal{O}}(K^3)$ to ${\mathcal{O}}(K^2)$ or ${\mathcal{O}}(NK)$ with some certain performance sacrifice. Meanwhile, we divide the simplified algorithms into two categories, namely the matrix inversion approximation and the classical iterative linear equation solving methods, and make comparisons between them in terms of detection performance and computation complexity. In order to further optimize the detection performance of the existing detection algorithms, we propose more proper solutions to set the initial values and relaxation parameters, and present a new way of reconstructing the exact effective noise variance to accelerate the convergence speed. Analysis and simulation results verify that with the help of proper initial values and parameters, the simplified matrix inversion based detection algorithms can achieve detection performance quite close to that of the ideal matrix inversion based MMSE algorithm with only a small number of series expansions or iterations.

한국의 전기비저항탐사 (Electrical Resistivity Methods in Korea)

  • 김희준
    • 자원환경지질
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    • 제39권4호
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    • pp.473-483
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    • 2006
  • 비록 2차 세계대전 이전에 자연전위가 관측되었다는 기록도 있기는 하지만, 한국에서 대전 이후 서서히 발전하던 전기탐사가 본격적으로 보급된 것은 1980년대 이후의 일이다. 다른 선진국과 달리 한국의 경우 전기비저항법을 환경문제보다 토목 건설 문제에 상대적으로 더 많이 적용하고 있다. 다른 모든 기술분야와 마찬가지로 반도체산업의 발전은 자료 수집과 잡음 감쇄처리에서 혁신을 가져왔으며, 지난 25년 동안 전기비저항 자료의 수집, 처리 및 해석에 있어서 두드러진 발전이 있었다. 평활화제약 모델에 의한 2차원 전기비저항 역산의 개발은 지난 40년 동안 물리탐사 자료해석에서 가장 현저한 변화 중 하나이며, 지금은 겉보기비저항 자료에 일반적으로 적용되고 있다. 전기비저항 분포를 가단면도가 아니라 단면도로 나타낼 수 있게 된 것은 자료해석에 혁신을 가져왔다. 일반적인 전자기 문제에서는 감도 계산을 위해 대단히 많은 전진 모델링을 필요로 하지만, 전기비저항법에서는 전류원과 수신점이 같은 위치를 차지하기 때문에 계산효율이 높아서 이전에는 처리하기 어려웠던 3차원 역산도 이제는 가능해졌다.

Loop-loop EM inversion and its applicability to subsurface exploration

  • Sasaki, Yutaka
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2006년도 공동학술대회 논문집
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    • pp.3-6
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    • 2006
  • There are three types of frequency-domain loop-loop EM induction method, depending on the loop separation and their location relative to the ground surface: horizontal-loop EM (HLEM), fixed small-loop EM, and helicopter-borne EM (HEM) methods. Multidimensional inversion provides tomographic images of the subsurface resistivity structure and thus enhances the interpretational accuracy of loop-loop EM data. HLEM method is shown to be effective for exploring groundwater resources in weathered and fractured crystalline basement terrains in semi-arid regions. Also, HEM method is useful for locating weak zones in landslide areas. The applicability of inversion to small-loop EM data depends solely on the S/N ratio. The quadrature response of small-loop EM data can only give the equivalent conductivity of a homogenous half-space model, and thus the in-phase component is essential in inverting EM data. However, the in-phase response is much lower and decreases more rapidly with decreasing frequency than the quadrature response. Further work is needed to obtain conductivity-depth images from small-loop EM data.

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Substituents Effect on Aziridine Chemistry: N-Inversion Energy, Reactivity and Regioselectivity of Nucleophilic Ring-opening

  • Park, Gyoo-Soon;Kim, Seok-Chan;Kang, Han-Young
    • Bulletin of the Korean Chemical Society
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    • 제26권9호
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    • pp.1339-1343
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    • 2005
  • The N-inversion energies and nucleophilic ring-opening reactions of N-substituted aziridine compounds are investigated using B3LYP/6-31+$G^*$ methods, where substituents (R) on the nitrogen atom has been H (1), Me (2), Ph (3), Bn (4), CHMePh (5), $CO_2Me$ (6), COPh (7) and $SO_2Ph$ (8). The N-inversion energy with X group are decreased as the following order: R = CHMePh (17.06 kcal/mol) $\gt$ Me (16.97) $\gt$ Bn (16.70) $\gt$ H (16.64) $\gt$ $SO_2Ph$ (12.18) $\gt$ Ph (8.91) $\gt$ COPh (5.75) $\gt$ $CO_2Me$ (5.48). For reactivity of the ring opening toward cyanide ion, the aziridine 6 (R=$CO_2Me$) is shown to be the most reactive one. During the ring opening of aziridine 6 by CN$^{\ominus}$, the torsional OCNC angle becomes near to $180^{\circ}$, where the geometry allows for the effective incorporation of electrons of the nitrogen atom to the C=O bond. It would be a possible driving force for nucleophilic ring opening reaction as well as decreasing the N-inversion energy barrier. Regarding to the regioselectivity, the orientation of nucleophile in ring opening reaction appears to be different in the case of 9 and 10. The results are discussed in terms of steric/electronic effect of the $C_2$-substituents.

Detection of Iron Nanoparticles using Nuclear Magnetic Resonance Relaxometry and Inverse Laplace Transform

  • Kim, Seong Min
    • Journal of Biosystems Engineering
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    • 제39권4호
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    • pp.345-351
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    • 2014
  • Purpose: Rapid detection of bacteria is very important in agricultural and food industries to prevent many foodborne illnesses. The objective of this study was to develop a portable nuclear magnetic resonance (NMR)-based system to detect foodborne pathogens (E. coli). This study was focused on developing a method to detect low concentrations of magnetic nanoparticles using NMR techniques. Methods: NMR relaxometry was performed to examine the NMR properties of iron nanoparticle mixtures with different concentrations by using a 1 T permanent magnet magnetic resonance imaging system. Exponential curve fitting (ECF) and inverse Laplace transform (ILT) methods were used to estimate the NMR relaxation time constants, $T_1$ and $T_2$, of guar gum solutions with different iron nanoparticle concentrations (0, $10^{-3}$, $10^{-4}$, $10^{-5}$, $10^{-6}$, and $10^{-7}M$). Results: The ECF and ILT methods did not show much difference in these values. Analysis of the NMR relaxation data showed that the ILT method is comparable to the classical ECF method and is more sensitive to the presence of iron nanoparticles. This study also showed that the spin-spin relaxation time constants acquired by a Carr-Purcell-Meiboom-Gill (CPMG) pulse sequence are more useful for determining the concentration of iron nanoparticle solutions comparwith the spin-lattice relaxation time constants acquired by an inversion recovery pulse sequence. Conclusions: We conclude that NMR relaxometry that utilizes CPMG pulse sequence and ILT analysis is more suitable for detecting foodborne pathogens bound to magnetic nanoparticles in agricultural and food products than using inversion recovery pulse sequence and ECF analysis.

금강 하구 천해성 퇴적층의 연약지반에 관한 연구: 표면파 역산에 의한 S파 속도구조와 해상도 (A Study on the Soft Reclaimed Lands Composed of Shallow Ocean Sediments in Keum River Estuary: Two Dimensional S Wave Velocity and Resolution Obtained by Inverting Surface Waves)

  • 정희옥
    • 한국지구과학회지
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    • 제22권3호
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    • pp.179-185
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    • 2001
  • 토양이나 암반의 물성을 조사하기 위하여 시추공조사가 흔히 이루어진다. 그러나 시추조사의 결과는 불연속적이고 시추공과 시추공 사이의 물성은 두 시추공의 조사결과를 내삽하여 구할 수 밖 에 없다. 그러나 이러한 내삽법을 이용한 해석은 지반의 수평적 변화가 심하지 않은 경우에만 가능하다. 연약지반의 연속적인 2차원 S파 속도구조를 구하기 위하여 표면파 역산 방법을 사용하였다. 역산 결과를 해석하기 위하여 역산 결과의 해상도를 역산 결과와함께 제시하였다.

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Evaluation of Hippocampal Volume Based on Various Inversion Time in Normal Adults by Manual Tracing and Automated Segmentation Methods

  • Kim, Ju Ho;Choi, Dae Seob;Kim, Seong-hu;Shin, Hwa Seon;Seo, Hyemin;Choi, Ho Cheol;Son, Seungnam;Tae, Woo Suk;Kim, Sam Soo
    • Investigative Magnetic Resonance Imaging
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    • 제19권2호
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    • pp.67-75
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    • 2015
  • Purpose: To investigate the value of image post-processing software (FreeSurfer, IBASPM [individual brain atlases using statistical parametric mapping software]) and inversion time (TI) in volumetric analyses of the hippocampus and to identify differences in comparison with manual tracing. Materials and Methods: Brain images from 12 normal adults were acquired using magnetization prepared rapid acquisition gradient echo (MPRAGE) with a slice thickness of 1.3 mm and TI of 800, 900, 1000, and 1100 ms. Hippocampal volumes were measured using FreeSurfer, IBASPM and manual tracing. Statistical differences were examined using correlation analyses accounting for spatial interpretations percent volume overlap and percent volume difference. Results: FreeSurfer revealed a maximum percent volume overlap and maximum percent volume difference at TI = 800 ms ($77.1{\pm}2.9%$) and TI = 1100 ms ($13.1{\pm}2.1%$), respectively. The respective values for IBASPM were TI = 1100 ms ($55.3{\pm}9.1%$) and TI = 800 ms ($43.1{\pm}10.7%$). FreeSurfer presented a higher correlation than IBASPM but it was not statistically significant. Conclusion: FreeSurfer performed better in volumetric determination than IBASPM. Given the subjective nature of manual tracing, automated image acquisition and analysis image is accurate and preferable.

분광특성을 이용한 담수역 클로로필-a 원격 추정 모형의 적용과 평가 (Remote Estimation Models for Deriving Chlorophyll-a Concentration using Optical Properties in Turbid Inland Waters : Application and Valuation)

  • 이혁;강태구;남기범;하림;조경화
    • 한국물환경학회지
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    • 제31권3호
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    • pp.272-285
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    • 2015
  • Accurate assessment of chlorophyll-a (Chl-a) concentrations in inland waters using remote sensing is challenging due to the optical complexity of case 2 waters. and the inherent optical properties (IOPs) of natural waters are the most significant factors affecting light propagation within water columns, and thus play indispensable roles on estimation of Chl-a concentrations. Despite its importance, no IOPs retrieval model was specifically developed for inland water bodies, although significant efforts were made on oceanic inversion models. So we have applied and validated a recently developed Red-NIR three-band model and an IOPs Inversion Model for estimating Chl-a concentration and deriving inland water IOPs in Lake Uiam. Three band and IOPs based Chl-a estimation model accuracy was assessed with samples collected in different seasons. The results indicate that this models can be used to accurately retrieve Chl-a concentration and absorption coefficients. For all datasets the determination coefficients of the 3-band models versus Chl-a concentration ranged 0.65 and 0.88 and IOPs based model versus Chl-a concentration varied from 0.73 to 0.83 respectively. and Comparison between 3-band and IOPs based models showed significant performance with decrease of root mean square error from 18% to 33.6%. The results of this study provides the potential of effective methods for remote monitoring and water quality management in turbid inland water bodies using hyper-spectral remote sensing.

MT 탐사에서의 정적효과 및 보정법 분석 (Analysis of Static Shift and its Correction in Magnetotelluric Surveys)

  • 장한나;송윤호;남명진
    • 지구물리와물리탐사
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    • 제27권2호
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    • pp.129-143
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    • 2024
  • 자기지전류(magnetotelluric, MT) 탐사 시, 지표면 부근의 작은 불균질체가 존재할 경우 겉보기비저항이 주파수와 무관하게 이동하는 정적효과(static shift)가 발생한다고 알려져 있다. 이러한 정적효과가 자료에 포함되어 있으면 지하 구조 해석에 오류가 발생하기 때문에 정적효과에 의한 왜곡을 해결하기 위한 연구가 지난 수십년 동안 수행되어 왔다. 가장 대표적인 방법으로는 역산 전에 MT 자료에서 정적효과를 제거하기 위해 보정하는 방법이 있다. 이와 달리, 역산 과정에서 정적효과를 역산의 변수로 포함시켜 그 크기를 추정하거나 따로 정적효과를 추정하지 않고 역산 과정에서 보정을 수행하기도 한다. 이외에도 다른 물리탐사 기법을 통해 얻은 자료를 사용하여 MT 탐사 정적효과를 제거할 수 있다. 하지만 지금까지 연구된 보정법들은 1차원적인 정적인 반응에만 국한되어 있어 2차원이나 3차원의 자료를 역산하고 해석하는 데에는 여전히 한계가 있다. 이 논문에서는 지금까지 MT 자료에서 정적효과를 처리하는 여러 방법들에 대해 분석하여 향후 정적효과 관련 연구를 위한 기초를 제공하고자 한다.

Analysis of the Stumpage Valuation for Pinus koraiensis Stands in the Research Forest of Kangwon National University

  • Woo, Hee-Sung;Choi, Sang-Hyun;Ahn, Seung-Il;Woo, Jong-Choon
    • Journal of Forest and Environmental Science
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    • 제28권1호
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    • pp.24-29
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    • 2012
  • This paper assesses the stmpage value of Korean white pine (Pinus koraiensis) stands in the Research Forest of Kangwon National University. Assessment was done by means of the cost value method (Faustmann formula) for age class I, Glaser method for age class II-V, and inversion market method for age class over VI. Generally the value of stumpage is calculated by the inversion market method in the market. However, immature trees and middle age class trees are not assessed in market, and the Korean forest is not old enough to harvest. So, when forests are damaged by attacks from forest fire, blight and harmful insects, the forest cannot be compensated for the loss from the government or insurance company. For this reason, the value of all-age class trees are calculated by using appropriate methods. As a result, the value of age I class stands (0.3 ha) is calculated as 1,786,305 (won), age II-Vclass stands (22.1 ha) 206,677,975 (won) and age VI class and over stands (24.8 ha) 523,789,603 (won).