• Title/Summary/Keyword: Diagonalization

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Reduced Feedback Beamforming with a Large Antenna Array in Wireless Backhaul Downlink Systems (거대 배열 안테나 무선 백홀 하향 링크 시스템에서 피드백 량을 줄이기 위한 빔 형성 방법)

  • Park, Jaebum;Kwon, Girim;Park, Hyuncheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.12
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    • pp.1903-1913
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    • 2016
  • In this paper, we propose 2-stage beamformer with linear receiver in wireless backhaul downlink system where macro base station has large antenna array with sub-array structure. Also, to compare the system capacity, we apply 3-stage beamformer with zero-forcing precoder and calculate the achievable sum rate of received small cell base stations. Considering scattering and path-loss property of wireless backhaul channel, we combine precoding technique for spatial multiplexing and beamforming technique to overcome path-loss. Therefore, we design DFT-based fixed beam patterns for the first stage. The simulation results show that considering spatial multiplexing, proposed 2-stage beamformer with linear receiver can increase the achievable sum rate as well as reduce the feedback information.

Reduction of Computing Time in Aircraft Control by Delta Operating Singular Perturbation Technique (델타연산자 섭동방법에 의한 항공기 동력학의 연산시간 감소)

  • Sim, Gyu Hong;Sa, Wan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.3
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    • pp.39-49
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    • 2003
  • The delta operator approach and the singular perturbation technique are introduced. The former reduces the round-off error in the numerical computation. The latter reduces computing time by decoupling the original system into the fast and slow sub-systems. The aircraft dynamics consists of the Phugoid and short-period motions whether its model is longitudinal or lateral. In this paper, an approximated solutions of lateral dynamic model of Beaver obtained by using those two methods in compared with the exact solution. For open-loop system and closed-loop system, and approximated solution gets identical to the exact solution with only one iteration and without iteration, respectively. Therefore, it is shown that implementing those approaches is very effective in the flight dynamic and control.

A New Efficient Group-wise Spatial Multiplexing Design for Closed-Loop MIMO Systems (폐루프 다중입출력 시스템을 위한 효율적인 그룹별 공간 다중화 기법 설계)

  • Moon, Sung-Myun;Lee, Heun-Chul;Kim, Young-Tae;Lee, In-Kyu
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.4A
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    • pp.322-331
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    • 2010
  • This paper introduces a new efficient design scheme for spatial multiplexing (SM) systems over closed loop multiple-input multiple-output (MIMO) wireless channels. Extending the orthogonalized spatial multiplexing (OSM) scheme which was developed recently for transmitting two data streams, we propose a new SM scheme where a larger number of data streams can be supported. To achieve this goal, we partition the data streams into several subblocks and execute the block-diagonalization process at the receiver. The proposed scheme still guarantees single-symbol maximum likelihood (ML) detection with small feedback information. Simulation results verify that the proposed scheme achieves a huge performance gain at a bit error rate (BER) of $10^{-4}$ over conventional closed-loop schemes based on minimum mean-square error (MSE) or bit error rate (BER) criterion. We also show that an additional 2.5dB gain can be obtained by optimizing the group selection with extra feedback information.

Development of An Unsteady Navier-Stokes Solver using Implicit Dual Time Stepping Method and DADI Scheme (내재적 이중시간 전진기법과 DADI 기법을 이용한 비정상 Navier-Stokes 코드개발)

  • Lee, Eun-Seok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.9
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    • pp.34-40
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    • 2005
  • In present study, a two dimensional unsteady Navier-Stokes solver has been developed using the Diagonalized ADI (DADI) method and implicit dual time stepping method. The jacobian matrices in steady state Navier-Stokes equations are introduced from inviscid flux terms. The implicit treatment of artificial dissipation terms results in a block penta-diagonal matrix system and it becomes a scalar penta-diagonal matrix by diagonalization. In steady state equations about fictitious time, a new residual including a real time derivative term is introduced. From a converged solution about fictitious time, a real time unsteady solution can be obtained, which is called 'implicit dual time stepping method'. For code validation, an oscillating flat plate, a regular Karman vortices past a circular cylinder and shock buffeting around a bicircular airfoil problems are numerically solved. And they are compared with a theoretical solution, experiments and other researcher's computations.

Jacket Matrix in Hyperbola (쌍곡선에서의 재킷 행렬)

  • Yang, Jae-Seung;Park, Ju-Yong;Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.3
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    • pp.15-24
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    • 2015
  • Jacket matrices which are defined to be $m{\times}m$ matrices $J^{\dagger}=[J_{ik}^{-1}]^T$ over a Galois field F with the property $JJ^{\dagger}=mI_m$, $J^{\dagger}$ is the transpose matrix of element-wise inverse of J, i.e., $J^{\dagger}=[J_{ik}^{-1}]^T$, were introduced by Lee in 1984 and are used for Digital Signal Processing and Coding theory. This paper presents some square matrices $A_2$ which can be eigenvalue decomposed by Jacket matrices. Specially, $A_2$ and its extension $A_3$ can be used for modifying the properties of hyperbola and hyperboloid, respectively. Specially, when the hyperbola has n times transformation, the final matrices $A_2^n$ can be easily calculated by employing the EVD[7] of matrices $A_2$. The ideas that we will develop here have applications in computer graphics and used in many important numerical algorithms.

Adaptive Coordinated Tx-Rx Beamforming for Multi-user MIMO Systems (다중 사용자 MIMO 시스템을 위한 적응적 Coordinated Tx-Rx 빔형성 기법)

  • An, Hong-Sun;Mohaisen, Manar;Chang, Kyung-Hi
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.4C
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    • pp.386-394
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    • 2010
  • In this paper, we propose an adaptive coordinated Tx-Rx beamforming scheme for inter-user interference cancellation, when a BS communicates with multiple users that each has multiple receive antenna. The conventional coordinated Tx-Rx beamforming scheme uses a fixed multi-stream per user regardless of the instantaneous channel states, that is, both user with ill-conditioned and well-conditioned channels have the same number of data streams. However, in the proposed adaptive coordinated Tx-Rx beamforming scheme, we select the number of streams per user to solve the inefficient problem of the conventional coordinated Tx-Rx beamforming. As a result of applying the adaptive coordinated Tx-Rx beamforming scheme, the BER performance is improved. Simulation results show that the proposed algorithm outperforms the conventional coordinated Tx-Rx beamforming algorithm by 2.5dB at a target BER of $10^{-2}$.

Ambient modal identification of structures equipped with tuned mass dampers using parallel factor blind source separation

  • Sadhu, A.;Hazraa, B.;Narasimhan, S.
    • Smart Structures and Systems
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    • v.13 no.2
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    • pp.257-280
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    • 2014
  • In this paper, a novel PARAllel FACtor (PARAFAC) decomposition based Blind Source Separation (BSS) algorithm is proposed for modal identification of structures equipped with tuned mass dampers. Tuned mass dampers (TMDs) are extremely effective vibration absorbers in tall flexible structures, but prone to get de-tuned due to accidental changes in structural properties, alteration in operating conditions, and incorrect design forecasts. Presence of closely spaced modes in structures coupled with TMDs renders output-only modal identification difficult. Over the last decade, second-order BSS algorithms have shown significant promise in the area of ambient modal identification. These methods employ joint diagonalization of covariance matrices of measurements to estimate the mixing matrix (mode shape coefficients) and sources (modal responses). Recently, PARAFAC BSS model has evolved as a powerful multi-linear algebra tool for decomposing an $n^{th}$ order tensor into a number of rank-1 tensors. This method is utilized in the context of modal identification in the present study. Covariance matrices of measurements at several lags are used to form a $3^{rd}$ order tensor and then PARAFAC decomposition is employed to obtain the desired number of components, comprising of modal responses and the mixing matrix. The strong uniqueness properties of PARAFAC models enable direct source separation with fine spectral resolution even in cases where the number of sensor observations is less compared to the number of target modes, i.e., the underdetermined case. This capability is exploited to separate closely spaced modes of the TMDs using partial measurements, and subsequently to estimate modal parameters. The proposed method is validated using extensive numerical studies comprising of multi-degree-of-freedom simulation models equipped with TMDs, as well as with an experimental set-up.

An Equality-Based Model for Real-Time Application of A Dynamic Traffic Assignment Model (동적통행배정모형의 실시간 적용을 위한 변동등식의 응용)

  • Shin, Seong-Il;Ran, Bin;Choi, Dae-Soon;Baik, Nam-Tcheol
    • Journal of Korean Society of Transportation
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    • v.20 no.3
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    • pp.129-147
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    • 2002
  • This paper presents a variational equality formulation by Providing new dynamic route choice condition for a link-based dynamic traffic assignment model. The concepts of used paths, used links, used departure times are employed to derive a new link-based dynamic route choice condition. The route choice condition is formulated as a time-dependent variational equality problem and necessity and sufficiency conditions are provided to prove equivalence of the variational equality model. A solution algorithm is proposed based on physical network approach and diagonalization technique. An asymmetric network computational study shows that ideal dynamic-user optimal route condition is satisfied when the length of each time interval is shortened. The I-394 corridor study shows that more than 93% of computational speed improved compared to conventional variational inequality approach, and furthermore as the larger network size, the more computational performance can be expected. This paper concludes that the variational equality could be a promising approach for real-time application of a dynamic traffic assignment model based on fast computational performance.

ESR Study of Paramagnetic Defects of the ${\gamma}$-irradiated Potassium Sulfate Single Crystal (${\gamma}$-선에 조사된 황산칼륨 단결정의 상자성 결함에 관한 전자스핀공명 연구)

  • Yo Chul Hyun;Chung Won Yang;Jong In Hong;Eun Ok Kim;Jung Sung Yang
    • Journal of the Korean Chemical Society
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    • v.25 no.6
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    • pp.367-375
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    • 1981
  • Single crystals of Potassium Sulfate ($K_2SO_4$) have been grown from the saturated solution by the evaporation method at the optimum conditions. Radiation damages in the crystal by ${\gamma}$-irradiation of about $12{\times}10^6$ Roentgen have given rise to paramagnetic centers or paramagnetic defects. Electron spin resonance (ESR) spectra of the centers are obtained with the X-band EPR spectrometer at room temperature. The ESR peaks of the paramagnetic species are found to be anisotropic but the peak of $SO_3-$ radical is an isotropic of Gaussian shape at g = 2.0036. A number of ESR spectra of the crystal for angular variation of the anisotropic peaks are recorded at various orientations of rotation about a, b and c crystallographic axes respectively. The g-values are calculated from the line position between anisotropic peaks and the isotropic one and then principal g-values and its direction cosines of the species are obtained by diagonalization of 9 matrix elements of the corresponding g-values. All the paramagnetic defects are identified by the characteristic principal g-values and its direction cosines.

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Joint Base Station and Relay Precoder Design with Relay Local Channel State Information for Multi-relay Aided Multi-user All-MIMO System (다중 릴레이, 다중 사용자 All-MIMO 시스템에서 릴레이 지역 채널 정보를 사용한 기지국 및 릴레이 전처리기 공동 설계 기법)

  • Cho, Young-Min;Jang, Seung-Jun;Kim, Dong-Ku
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.6A
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    • pp.405-419
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    • 2012
  • In this paper, we propose a joint base station(BS) and relay precoders design in multi-relay aided multi-user all-multiple-input multiple-output(MIMO) system. The design criterion is to minimize user sum mean square error(SMSE) with relay sum power constraint(RSPC) where only local channel state information(CSI)s are available at relays. Local CSI at a relay is defined as the CSI of the channel which the relay itself accesses, out of among all the 1st hop and the 2nd hop channel in the system. With BS precoder structure which is concatenated with block diagonalization(BD) precoder, each relay can determine its own precoder using only local CSI. Proposed scheme is based on sequential iteration of two stages; stage 1 determines BS precoder and relay precoders jointly with SMSE duality, and stage 2 determines user receivers. Proposed scheme can be demonstrated theoretically to be always converge. We verify that proposed scheme outperforms simple amplify-and-forward(SAF), MMSE relay, and proposed schemes in [1] in terms of both SMSE and sum-rate performances.