• Title/Summary/Keyword: array invariant

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Degree of 2D discrete linear shift-invariant system and reduction of 2d rational transfer function

  • Sakata, Shojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.934-938
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    • 1988
  • In this paper we present a method of determining the unknown degree of any 2D discrete linear shift-invariant system which is characterized only by the coefficients of the double power series of a transfer function, i.e. a 2D impulse response array. Our method is based on a 2D extension of Berlekamp-Massey algorithm for synthesis of linear feedback shift registers, and it gives a novel approach to identification and approximation of 2D linear systems, which can be distinguished in its simplicity and potential of applicability from the other 2D Levinson-type algorithms. Furthermore, we can solve problems of 2D Pade approximation and 2D system reduction on a reasonable assumption in the context of 2D linear systems theory.

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Broadening of Foci in an Ocean Time Reversal Processing and Application to Underwater Acoustic Communicaion

  • Shin, Kee-Cheol;Kim, Jea-Soo
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.3E
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    • pp.104-111
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    • 2008
  • Recently, a method for robust time reversal focusing has been introduced to extend the period of stable focusing in time-dependent ocean environments [S. Kim et al., J. Acoust. Soc. Am. 114, 145-157, (2003)]. In this study, concept of focal-size broadening based on waveguide invariant theory in an ocean time reversal acoustics is described. It is achieved by imposing the multiple location constraints. The signal vector used in multiple location constraints are found from the theory on waveguide invariant for frequency band corresponding the extended focal range. The broadening of foci in an ocean waveguide can play an important role in the application of time reversal processing, particularly to the underwater acoustic communication with moving vehicles. The proposed method is demonstrated in the context of the underwater acoustic communication from the transmit/receive array (TRA) to a slowly moving vehicle.

Observability Analysis of INS with a GPS Multi-Antenna System

  • Sinpyo Hong;Lee, Man-Hyung;Jose A. Rios;Jason L. Speyer
    • Journal of Mechanical Science and Technology
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    • v.16 no.11
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    • pp.1367-1378
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    • 2002
  • This paper investigates observability properties of strapdown INS aided by a GPS antenna array. The motivation to consider a GPS antenna array is that the lever-arms between the GPS antennas and IMU play an important role in the estimation of vehicle attitude and biases of IMU. It is shown that time-invariant INS error models are observable with measurements from at least three GPS antennas. It is also shown that time-varying error models are instantaneously observable with measurements from three antennas. Numerical simulation results are given to show the effectiveness of multiple GPS antennas on estimating vehicle attitude and biases of IMU when IMU has considerable magnitude of biases.

Staistical analysis and measurements of array receivers for use in optical communication (광통신에 이용되는 배열 수신기의 측정과 통계적 해석)

  • Sung, Pyung-Shik
    • Journal of the Korea Computer Industry Society
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    • v.8 no.1
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    • pp.57-64
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    • 2007
  • In the paper, considers the design of a detection system, consisting of n identical detectors, to process the sum of spatially invariant signal fields $S_\jmath(t)$, an additive, homogeneous, spatially isotropic (in the array plane x). covariance_separable, and zero_mean Gaussian random noise field n(t, x). consisting of arrey receivers for use in optical communication through optimum turbulence atmosphers and covriance_circuit, staistical analysis through detection the maximum gain are compared with analysis theoretical analysis theoretical value and get through experimental measured value, as well the measured valus are confirmed to agreement joint Gaussian theoretical curves.

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A Study on Optimum Performance in MIMO RADAR with Transmit and Receive Antenna Allocation (MIMO 레이더에서 송수신 안테나 분배에 의한 최적 성능에 관한 연구)

  • NamGoong, Geol;Lim, Jong-Tae;Yoo, Do-Sik
    • Journal of Advanced Navigation Technology
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    • v.16 no.2
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    • pp.204-210
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    • 2012
  • In this paper, we study the method of estimating direction of departure(DOD) and direction of arrival(DOA) using estimation of signal parameters via rotational invariant techniques (ESPRIT) in uniform linear array MIMO radar system. While it is possible to improve the resolution by increasing the numbers of physical antennas and snapshots after matched filtering, such methods generally give rise to increase in complexity. In this paper, we propose to improve the resolution by optimally allocating the number of transmit and receive antennas. In particular, we show that the performance is optimized when the number of the receive antennas is approximately twice that of transmit antennas.

On the Development of an Inspection Algorithm for Micro Ball Grid Array Solder Balls ($\mu$BGA패키지 납볼 결함 검사 알고리듬 개발에 관한 연구)

  • 박종욱;양진세;최태영
    • Journal of the Microelectronics and Packaging Society
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    • v.8 no.3
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    • pp.1-9
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    • 2001
  • This paper proposes an inspection algorithm for micro ball grid array ($\mu$BGA) solder balls. This algorithm is motivated by the difficulty of finding defect balls by human visual inspection due to their small dimensions. Specifically, it is developed herein an automated vision-based inspection algorithm for $\mu$BGA's, which can inspect solder balls not only for so-called two dimensional errors, such as missings, positions and sizes, but also for height errors. The inspection algorithm uses two dimensional images of $\mu$BGA obtained through special blue illumination, and processes them with a rotation-invariant sub algorithm. It can also detect height errors when a two-camera system is available. Simulation results show that the proposed algorithm is more efficient in detecting ball defects compared with the conventional algorithms.

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Estimation of the Number of Sources Based on Hypothesis Testing

  • Xiao, Manlin;Wei, Ping;Tai, Heng-Ming
    • Journal of Communications and Networks
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    • v.14 no.5
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    • pp.481-486
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    • 2012
  • Accurate and efficient estimation of the number of sources is critical for providing the parameter of targets in problems of array signal processing and blind source separation among other such problems. When conventional estimators work in unfavorable scenarios, e.g., at low signal-to-noise ratio (SNR), with a small number of snapshots, or for sources with a different strength, it is challenging to maintain good performance. In this paper, the detection limit of the minimum description length (MDL) estimator and the signal strength required for reliable detection are first discussed. Though a comparison, we analyze the reason that performances of classical estimators deteriorate completely in unfavorable scenarios. After discussing the limiting distribution of eigenvalues of the sample covariance matrix, we propose a new approach for estimating the number of sources which is based on a sequential hypothesis test. The new estimator performs better in unfavorable scenarios and is consistent in the traditional asymptotic sense. Finally, numerical evaluations indicate that the proposed estimator performs well when compared with other traditional estimators at low SNR and in the finite sample size case, especially when weak signals are superimposed on the strong signals.

Development of ${\mu}BGA$ Solder Ball Inspection Algorithm (${\mu}BGA$ 납볼 검사 알고리즘 개발)

  • 박종욱;양진세;최태영
    • Proceedings of the IEEK Conference
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    • 2000.06d
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    • pp.139-142
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    • 2000
  • $\mu$BGA(Ball Grid Array) is growing in response to a great demand for smaller and lighter packages for the use in laptop, mobile phones and other evolving products. However it is not easy to find its defect by human visual due to in very small dimension. From this point of view, we are interested its development of a vision based automated inspection algorithm. For this, first a 2D view of $\mu$BGA is described under a special blue illumination. Second, a notation-invariant 2D inspection algorithm is developed. Finally a 3D inspection algorithm is proposed for the case of stereo vision system. As a simulation result, it is shown that 3D defect not easy to find by 2D algorithm can be detected by the proposed inspection algorithm.

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A study on the broadband beam pattern synthesis using spatial response variation (공간 응답 변화량을 적용한 광대역 빔 형성기 설계법)

  • Lim, Jun Seok;Lee, Keunhwa;Ahn, Jae-Kyun
    • The Journal of the Acoustical Society of Korea
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    • v.39 no.3
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    • pp.200-206
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    • 2020
  • In this paper, we propose a broadband beamforming method using the Spatial Response Variation (SRV) which is defined to measure the fluctuation of the array spatial response within the desired frequency band. By applying the SRV to regularization term, we achieve a good quality main beam width variation less than 1 degree within the desired frequency band. In design experiments, we show that the proposed method is better than the existing method.

THE HAMILTONIAN SYSTEM WITH THE NONLINEAR PERTURBED POTENTIAL

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.15 no.2
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    • pp.195-206
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    • 2007
  • We investigate the multiplicity of $2{\pi}$-periodic solutions of the nonlinear Hamiltonian system with perturbed polynomial and exponential potentials, $\dot{z}= JG^{\prime}(z)$, where $z:R{\rightarrow}R^{2n}$, $\dot{z}={\frac{dz}{dt}}$, $J=\(\array{0&-I\\I&0}\)$, I is the identity matrix on $R^n,G:R^{2n}{\rightarrow}R$, G(0, 0) = 0 and $G^{\prime}$ is the gradient of G. We look for the weak solutions $z=(p,q){\in}E$ of the nonlinear Hamiltonian system.

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