• Structural Engineering and Mechanics
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• 제45권1호
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• pp.95-110
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• 2013

In the recent decade, practical of wavelet technique is being utilized in various domain of science. Particularly, engineers are interested to the wavelet solution method in the time series analysis. Fundamentally, seismic responses of structures against time history loading such as an earthquake, illustrates optimum capability of systems. In this paper, a procedure using particularly discrete Haar wavelet basis functions is introduced, to solve dynamic equation of motion. In the proposed approach, a straightforward formulation in a fluent manner is derived from the approximation of the displacements. For this purpose, Haar operational matrix is derived and applied in the dynamic analysis. It's free-scaled matrix converts differential equation of motion to the algebraic equations. It is shown that accuracy of dynamic responses relies on, access of load in the first step, before piecewise analysis added to the technique of equation solver in the last step for large scale of wavelet. To demonstrate the effectiveness of this scheme, improved formulations are extended to the linear and nonlinear structural dynamic analysis. The validity and effectiveness of the developed method is verified with three examples. The results were compared with those from the numerical methods such as Duhamel integration, Runge-Kutta and Wilson-${\theta}$ method.

• 제어로봇시스템학회논문지
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• 제14권10호
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• pp.977-982
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• 2008

In this paper Haar functions are developed to approximate the solutions of continuous time linear system. Properties of Haar functions are first presented, and an explicit expression for the inverse of the Haar operational matrix is presented. Using the inverse of the Haar operational matrix the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

• 응용통계연구
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• 제31권6호
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• pp.707-719
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• 2018

시계열 데이터의 분류와 군집화를 효율적으로 수행하기 위해 다양한 시계열 표현 방법들이 제안되었다. 본 연구는 Lin 등 (2007)이 제안한 국소 평균 근사를 이용하여 시계열의 차원을 축소한 후 심볼릭 자료로 이산화하는 symbolic aggregate approximation (SAX) 방법의 개선에 대해서 연구하였다. SAX는 국소 평균 근사를 할 때 등간격으로 임의의 개수의 세그먼트로 나누어 평균을 계산하여 세그먼트의 개수에 그 성능이 크게 좌우된다. 따라서 본 논문은 불균형 Haar 웨이블릿 변환을 통해 국소 평균 수준을 등간격이 아니라 자료의 특성을 반영하여 자료 의존적으로 선택하게 함으로써 시계열의 차원을 효과적으로 축소함과 동시에 정보의 손실을 줄이는 방법에 대해서 제안한다. 제안한 방법은 실증 자료 분석을 통해 SAX 방법을 개선시킴을 확인하였다.

• 한국시뮬레이션학회논문지
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• 제16권4호
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• pp.13-22
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• 2007

주기 신호 데이터를 가지는 공정의 이상 탐지를 위해 대표값을 사용하는 단변량 SPC 차트나 PCA, PLS 등과 같은 다변량 통계방법들이 사용되고 있다. 이러한 방법들은 주기 신호 데이터의 다양한 정보를 분석하는데 한계가 있다. 본 연구에서는 Haar 웨이블릿 변환을 이용하여 주기 신호의 형태를 반영하는 웨이블릿 계수를 구하고, 이 계수들에 SPC 차트를 적용하여 공정 이상여부를 탐지하였다. 본 논문에서는 보다 효율적인 이상 신호 탐지를 위해 웨이블릿을 이용한 잡음 제거 기법과 Haar 웨이블릿 계수의 분산 차이를 이용한 중요 계수 선택 방법을 제안하였다. 다양한 이상 상황에 대하여 시뮬레이션을 통하여 제안한 알고리즘의 효율성을 확인하였다.

• 한국자기공명학회논문지
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• 제6권1호
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• pp.12-19
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• 2002

A shift-averaged Haar wavelet transform was introduced as a new and excellent tool to distinguish real peaks from the noise contaminated NMR signals. It is based on Haar wavelet transform and translation-invariant denoising process. Donoho＇s universal threshold was newly introduced to the shift-averaged Haar wavelet transform for the purpose of automated noise suppression, and was quantitatively compared with the conventional uniform threshold method in terms or threshold and signal to noise ratio (SNR). New algorithm was combined with a routine to suppress a large solvent peak by singular value decomposition (SVD). Combined algorithm was applied to the real spectrum that containing large solvent peak.

• 제어로봇시스템학회논문지
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• 제14권12호
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• pp.1270-1277
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• 2008

A Haar wavelet based numerical method for solving singularly perturbed linear time invariant system is presented in this paper. The reduced pure slow and pure fast subsystems are obtained by decoupling the singularly perturbed system and differential matrix equations are converted into algebraic Sylvester matrix equations via Haar wavelet technique. The operational matrix of integration and its inverse matrix are utilized to reduce the computational time to the solution of algebraic matrix equations. Finally a numerical example is given to demonstrate the validity and applicability of the proposed method.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2009년도 추계학술발표대회
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• pp.249-250
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• 2009

음향 신호 이미지 처리, human vision 등의 분야에서 널리 쓰이는 wavelet transform의 가장 간단한 형태인 one-dimension haar wavelet transform을 CUDA로 구현하고 hardware 특성을 살린 optimizing을 함으로써 Data-parallelism의 성능과 CUDA memory architecture의 상관 관계를 살펴본다.

• 대한원격탐사학회지
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• 제24권1호
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• pp.57-64
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• 2008

In the previous study, the Haar wavelet was used as the sole basis function for the 3D discrete wavelet transform because the number of bands is too small to decompose a remotely sensed image in band direction with other basis functions. However, it is possible to use other basis functions for wavelet decomposition in horizontal and vertical directions because wavelet decomposition is independently performed in each direction. This study aims to classify a high spatial resolution image with the six types of basis function including the Haar function and to compare those results. The other wavelets are more helpful to classify high resolution imagery than the Haar wavelet. In overall accuracy, the Coif4 wavelet has the best result. The improvement of classification accuracy is different depending on the type of class and the type of wavelet. Using the basis functions with long length could be effective for improving accuracy in classification, especially for the classes of small area. This study is expected to be used as fundamental information for selecting optimal basis function according to the data properties in the 3D DWT based image classification.

• 한국멀티미디어학회논문지
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• 제14권8호
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• pp.992-999
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• 2011

This paper proposed a human body posture recognition program based on haar-like feature and hand activity detection. Its distinguishing features are the combination of face detection and motion detection. Firstly, the program uses the haar-like feature face detection to receive the location of human face. The haar-like feature is provided with the advantages of speed. It means the less amount of calculation the haar-like feature can exclude a large number of interference, and it can discriminate human face more accurately, and achieve the face position. Then the program uses the frame subtraction to achieve the position of human body motion. This method is provided with good performance of the motion detection. Afterwards, the program recognises the human body motion by calculating the relationship of the face position with the position of human body motion contour. By the test, we know that the recognition rate of this algorithm is more than 92%. The results show that, this algorithm can achieve the result quickly, and guarantee the exactitude of the result.

• 융합신호처리학회 학술대회논문집
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• 한국신호처리시스템학회 2003년도 하계학술대회 논문집
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• pp.34-37
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• 2003

본 논문에서는 가역변환 (reversible transform)에 기반을 둔 가역 워터마킹 기법에 관해 기술한다. 워터마크를 삽입한 후 원본 데이터에 영구적으로 남아있는 기존의 워터마킹 기법과는 달리 가역 워터마킹 기법의 경우, 컨텐츠의 인증이 이루어진 후 삽입되었던 워터마크 신호를 컨텐츠로부터 제거함으로써, 원 영상을 화소단위로 무손실 복원할 수 있는 특징이 있다. 본 논문에서는 가역 변환인 Haar 웨이블릿 변환(Haar Wavelet Transform) 이용하여 원 영상을 변환한 후 웨이블릿 계수를 이용하여 워터마크를 삽입 및 추출한다. 이러한 가역워터마킹 기법은 판사 목적의 영상 혹은 의료영상과 같은 민감한 영상신호처리가 요구되는 분야로 응용될 수 있을 것이다.