• The Journal of the Acoustical Society of Korea
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• v.23 no.3
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• pp.221-227
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• 2004

This paper presents the subband affine projection algorithm(SAPA). The improved performance of SAPA is achieved by applying the affine projection algorithm to the subband adaptive structure. In this algorithm, the weight updating formula of adaptive filter is simply derived by using the orthogonal quadrature filter(OQF) as an analysis filter bank for subband filtering. The derived SAPA has the fast convergence speed and small computational complexity. The efficiency of the proposed algorithm for colored input signal is evaluated through some experiments.

• Proceedings of the Optical Society of Korea Conference
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• 2001.02a
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• pp.198-199
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• 2001

본 논문은 스테레오 영상의 왜곡 현상을 분석하는 수학적인 해석 방법을 제안하였다. 스테레오 카메라의 중심과 투사기의 중심을 연결하는 직선이 스크린이 가지는 평면의 중심을 지나는 법선 벡터가 되고, 스테레오 카메라와 투사기의 두 렌즈의 광축이 스크린의 중심에 놓일 경우에 사진을 찍는 조건, 투영 조건 및 관측 조건에 해당하는 해석해를 유도하였다. 위 세 가지 조건에 따라 영상의 왜곡 정도가 바뀌게 되는데 왜곡을 최소한으로 만들 수 있는 조건식을 유도하였다.

• Journal of KIISE:Computer Systems and Theory
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• v.26 no.2
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• pp.136-144
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• 1999

정규 순환 방정식형태로 표현된 문제로부터 시스톨릭 어레이를 유도하기 위하여 일반적으로 공간-시간 사상 기법이 널리 이용되고 있다. 이 기법에서 공간 행렬은 주어진 문제 공간을 시스톨릭 어레이로 사상시키는 역할을 한다. 이러한 공간 행렬에 의해 유도되는 시시톨릭 어레이가 유효한 것이 되기 위해서 몇 가지의 제약 조건을 필요로 한다. 본 논문에서는 지역 의존 제약 조건을 기초로 하여 3차원의 문제 공간으로부터 2차원의 시스톨릭 어레이를 유도하는 공간 행렬의 계산 방법을 제시하고자한다. 먼저, 지역 의존 조건을 만족시키기위해 공간 행렬의 요소들이 가져야 하는 조건을 찾고 이 조건으로부터 가능한 트사 벡터들을 선정한다. 다음으로, 필요조건으로서 이러한 투사 벡터들로부터 지역 의존 조건을 만족시키는 공간 행렬을 가지는 투사 벡터들을 선별함으로써, 유효한 시스톨릭 어레이를 유도할 수 있는 모든 가능한 공간 행렬들을 구한다. 이렇게 구해진 가능한 모든 공간 행렬은 시스톨릭 어레이를 위한 캐드도구 또는 시뮬레이터에서 유용하게 이용될 수 있다.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.46 no.6
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• pp.163-174
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• 2009

Applying the maximally polyphase decomposition and noble identity to the adaptive filter in subband structure, the conventional fullband affine projection algorithm is translated to the subband affine projection (SAP) algorithm. The Maximally polyphase decomposed SAP (MPDSAP) algorithm is a special version of the SAP algorithm, and its adaptive sub-filters have unity projection dimension. The weight updating formular of the MPDSAP is similar to that of the NLMS algorithm, so it may be more proper algorithm than other AP-type algorithms for many practical applications. This paper presents a new statistical analysis of the MPDSAP algorithm. The analytical model is derived for autoregressive (AR) inputs and the nonunity adaptive gain in the subband structure with the orthonormal analysis filters (OAF), The pre-whitening by the OAF allows the derivation of a simple-analytical model for the MPDSAP with the AR inputs and the nonunity adaptive gain.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.19 no.11
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• pp.2094-2105
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• 1994

This paper contains a Hough transform based projection method derived from Radon transform for tracking dim unresolved(sub-pixel) moving targets that move along straight line parths across a time sequential image data. In contrast to several recently presented Hough transform methods using a compressed image referred to as the track map our proposed technique utilizing a set of projections taken along arbitrary orientations effectively increases the changes of target detection, and creates a robust track estimation environment by incorporating all the available knowledge obtained from the projections. Moreover, in order to quantitatively assess the estimation capability of the projection-based Hough transform algorithm, the analytical bounds on the Hough space parameter errors introduced by image space noise contamination are derived. The simulation yielded promising results of estimating the track parameters even under low signal to noise rations when our technique was tested against the time sequential sets of real infrared image data referred to as the HiCamps.

• Journal of the Institute of Convergence Signal Processing
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• v.12 no.1
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• pp.20-25
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• 2011

In subband structure, the fullband AP adaptive filter with P projection dimension can be decomposed P adaptive sub-filters by applying maximally polyphase decomposition and noble identity. Each adaptive sub-filter has a simple weight update formula with the unit projection dimension. This subband decomposition method is one of the most practical solution in the viewpoint of implementation. For utilization in many applications, it is necessary that analysis for the optimum step size of the maximally polyphase decomposed subband AP(MPDSAP) adaptive filter. In this paper, we present an improved analysis model of mean square error and induce the initial optimum step size for the MPDSAP adaptive filter. Computer simulations show that there is a relatively good match between theory and practice for the improved analysis model of MSE and the induced initial optimum step size.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.42 no.5 s.305
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• pp.145-156
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• 2005

In application for acoustic echo cancellation and adaptive equalization, input signal is highly correlated and the long length of adaptive filter is needed. Affine projection algorithms, in these applications, can produce a good convergence performance. However, they have a drawback that is a complex hardware implementation. In this paper, we propose a new subband affine projection algorithm with improved convergence and reduced computational complexity. In addition, we suggest a good approach to implement the proposed method. In this method by applying polyphase decomposition, noble identity and critical decimation to the anne projection algorithm the number of input vectors for decorrelation can be reduced. The weight-updating formula of the proposed method is derived as a simple form that compared with the NLMS(normalized least mean square) algorithm by the reduced projection order The efficiency of the proposed algorithm for a colored input signal was evaluated by using computer simulations.

• Proceedings of the Korea Multimedia Society Conference
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• 1998.10a
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• pp.118-123
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• 1998

정형방법들은 명세와 설계 문제들에서 모호성, 불완전성, 그리고 불일치성을 보다 쉽게 발견하고 수정하기 위해 사용된다. Z 저형 명세 언어를 객체 지향 패러다임으로 기술하기 위하여, 클래스 기술에 대한 명확한 정의가 필요하다. 그리고 이를 증명할 수 있는 프로토타입이 필수적이다. Z 스키마의 숨김 연산자와 그의 확장인 논리 한정 연산자와 투사 연산자를 이용하여 클래스의 원리를 가지는 클래스 스키마를 유도하여 정의한다. 유도된 클래스 스키마가 상속성, 다형성, 캡슐화 등의 객체 지향 원리를 가지는가에 대한 증명하기 위한 프로토타입을 설계한다.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.26 no.3
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• pp.443-448
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• 2022

This paper presents a subband affine projection algorithm with variable step size to improve convergence performance in adaptive filtering applications with long adaptive filters and highly correlated input signals. The proposed algorithm can obtain fast convergence speed and small steady-state error by using different step sizes for each adaptive sub-filter in the subband structure to which polyphase decomposition and noble identity are applied. The step size derived to minimize the mean square error of the adaptive filter at each update time shows better convergence performance than the existing algorithm using a variable step size. In order to confirm the convergence performance of the proposed algorithm, which is superior to the existing algorithm, computer simulations are performed for mean square deviation(MSD) for AR(1) and AR(2) colored input signals considering the system identification model.

• Progress in Medical Physics
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• v.19 no.4
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• pp.209-218
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• 2008

According to improved radiation therapy technology such as IMRT and proton therapy, the accuracy of patient alignment system is more emphasized and IGRT is dominated research field in radiation oncology. We proposed to study the feasibility of cone-beam CT system using simple x-ray imaging systems for image guided proton therapy at National Cancer Center. 180 projection views ($2,304{\times}3,200$, 14 bit with 127 ${\mu}m$ pixel pitch) for the geometrical calibration phantom and humanoid phantoms (skull, abdomen) were acquired with $2^{\circ}$ step angle using x-ray imaging system of proton therapy gantry room ($360^{\circ}$ for 1 rotation). The geometrical calibration was performed for misalignments between the x-ray source and the flat-panel detector, such as distances and slanted angle using available algorithm. With the geometrically calibrated projection view, Feldkamp cone-beam algorithm using Ram-Lak filter was implemented for CBCT reconstruction images for skull and abdomen phantom. The distance from x-ray source to the gantry isocenter, the distance from the flat panel to the isocenter were calculated as 1,517.5 mm, 591.12 mm and the rotated angle of flat panel detector around x-ray beam axis was considered as $0.25^{\circ}$. It was observed that the blurring artifacts, originated from the rotation of the detector, in the reconstructed toomographs were significantly reduced after the geometrical calibration. The demonstrated CBCT images for the skull and abdomen phantoms are very promising. We performed the geometrical calibration of the large gantry rotation system with simple x-ray imaging devices for CBCT reconstruction. The CBCT system for proton therapy will be used as a main patient alignment system for image guided proton therapy.