• Title/Summary/Keyword: Haar function

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Algebraic approach for unknown inputs observer via Haar function (Haar 함수를 이용한 대수적 미지입력관측기 설계)

  • Ahn, P.;Kang, K.W.;Kim, H.K.;Kim, J.B.
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2086-2088
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    • 2002
  • This paper deals with an algebraic approach for unknown inputs observer by using Haar functions. In the algebraic UIO(unknown input observer) design procedure, coordinate transformation method is adopted to derive the reduced order dynamic system which is decoupled unknown inputs and Haar function and its integral operational matrix is applied to avoid additional differentiation of system outputs.

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WEIGHTED NORM ESTIMATE FOR THE GENERAL HAAR SHIFT OPERATORS VIA ITERATING BELLMAN FUNCTION METHOD

  • CHUNG, DAEWON
    • East Asian mathematical journal
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    • v.31 no.5
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    • pp.635-652
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    • 2015
  • It is shown that for a general Haar shift operator, and a weight in the $A_2$ weight class, we establish the weighted norm estimate which linearly depends on $A_2$-characteristic $[w]_{A_2}$. Although the result is now well known, we introduce the new method, which is called the iterated Bellman function method, to provide the estimate.

Operational matrix for differentiation of Haar function and its application for systems and control (하알함수 미분연산형렬의 유도와 시스템해석으로의 응용)

  • Ahn, P.;Kang, K.W.;Kim, M.K.;Kim, J.B.
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2200-2202
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    • 2003
  • In this paper, differentiation operational matrix for Haar function is derived. Proposed method only using a matrix calculation of Haar discrete matrix and block-pulse function's integration operational matrix. It would be possible to use to design an a1gebraic estimator for fault detection or unknown input observer effectively.

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Optimal Vibration Control of Vehicle Engine-Body System using Haar Functions

  • Karimi Hamid Reza
    • International Journal of Control, Automation, and Systems
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    • v.4 no.6
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    • pp.714-724
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    • 2006
  • In this note a method of designing optimal vibration control based on Haar functions to control of bounce and pitch vibrations in engine-body vibration structure is presented. Utilizing properties of Haar functions, a computational method to find optimal vibration control for the engine-body system is developed. It is shown that the optimal state trajectories and optimal vibration control are calculated approximately by solving only algebraic equations instead of solving the Riccati differential equation. Simulation results are included to demonstrate the validity and applicability of the technique.

New Approach to the Analysis of Linear Systems Via Local Rationalized Haar Transform (미소구간 유리하알변환에 의한 선형계의 해석을 위한 새로운 접근방법)

  • Kim, Jin-Tae;Ahn , Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.6
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    • pp.228-234
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    • 2002
  • This paper proposes a real-time application of rationalized Haar transform which is based on the local rationalized Haar transform, local operational matrix and local delay operational matrix. This approach let a general sampling time be used by introducing a scaling factor. In the existing method of orthogonal functions, a major disadvantage is that process signals need to be recorded prior to obtaining their expansions. This paper proposes a novel method of rationalized Haar transform to overcome this shortcoming. And the proposed method is suitable for the analysis of linear systems. The proposed method is expected to the applicable to the adaptive control which demanded to the real-time applications.

The Design of Robust MRAC via Haar Functions (하알함수를 이용한 Robust MRAC 설계)

  • Kim, Jin-Tae;Choi, Soo-Young;Jung, Joon-Hong;Lee, Han-Seok;Lee, Myung-Kyu;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2129-2131
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    • 2002
  • This paper proposes a real-time application of rationalized Haar transform which is based on the rationalized Haar transform, operational matrix and rationalized Haar function's differential operation. In the existing method of orthogonal functions, a major disadvantage is that process signals need to be recorded prior to obtaining their expansions. This paper proposes a novel method of rationalized Haar transform to overcome this shortcoming. And the proposed method apply to the robust MRAC systems.

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A Comparative Study of 3D DWT Based Space-borne Image Classification for Differnet Types of Basis Function

  • Yoo, Hee-Young;Lee, Ki-Won;Kwon, Byung-Doo
    • Korean Journal of Remote Sensing
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    • v.24 no.1
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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.

Hierarchical Optimal Control of Nonlinear System using Haar Function (하알 함수를 이용한 비선형계의 계층별 최적제어)

  • Park, Jung-Ho;Cho, Young-Ho;Shin, Seung-Kwon;Chung, Je-Wook;Shim, Jae-Sun;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.485-487
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    • 1999
  • We propose the algorithm with which one can solve the problem of the two-level hierarchical optimal control of nonlinear systems by repeatedly updating the state vectors using the haar function and Picard's iteration methods. Using the simple operation of the coefficient vectors from the fast haar transformation in the upper level and applying that vectors to Picard iteration methods in the independently lower level allow us to obtain the another method except the inversion matrix operation of the high dimention and the kronecker product in the optimal control algorithm.

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Comparison of ERG Denoising Performance according to Mother Function of Wavelet Transforms (웨이브렛 변환의 모함수에 따른 ERG의 잡음제거 성능 비교)

  • Seo, Jung-Ick;Park, Eun-Kyoo;Jang, Jun-Young
    • Journal of Korean Clinical Health Science
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    • v.4 no.4
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    • pp.756-761
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    • 2016
  • Purpose. Noise occurs at measuring Electoretinogram(ERG) signals as the other bio-signal measurement. It is compared the denoising performance according to the mother function of wavelet transforms. Methods. The ERG signal that generated power supply noise and white noise was used as a sampling signal. The noise of ERG signal was filtered by using haar, db7, bior mother function. The filtering performance of each mother functions was compared using Fourier transform spectrum and SNR(signal to noise ratio). Results. In the haar functioin, the result of the Fourier transform spectrum was that the power supply noise is removed and the white noise performance is not good. The SNR was 27.0404. In the db7 function, the results of Fourier transform spectrum was that the power supply noise is removed and the white noise performance is good. The SNR was 35.1729. In the db7 function, the results of Fourier transform spectrum was that the power supply noise is removed and the white noise performance is the bset. The SNR was 35.4445. Conclusions. The db7, bior function was good results in power supply noise and white noise filtered. The bior function is suitable for filtering noise of the ERG signal.