• Title/Summary/Keyword: Haar-wavelet

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The properties of the two dimensional q-Gabor wavelet

  • Takahashi, Kouji;Tanaka, Masaru
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.373-376
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    • 2002
  • In this paper, we give the definition of the two dimensional q-Gabor wavelet. It consists of the q-normal distribution, which is also given in this paper. If the q-normal distribution is used as a kernel of the Gabor wavelet instead of the normal distribution, the q-Gabor wavelet is obtained. Furthermore, the q-Gabor wavelet is compared with the Gabor and the Haar wavelets to show how good The q-Gabor wavelet is.

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Applications of Haar Wavelet Based Multiresolution Time-Domain Method to Microwave Structures (Haar 웨이블릿 다중분해능 시간영역 해석법을 이용한 마이크로파 소자 해석)

  • 주세훈;김형훈;김형동
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.10 no.6
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    • pp.935-950
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    • 1999
  • A multiresolution time-domain analysis scheme is derived for the analysis of microwave structures by using Haar wavelets to discretize the Maxwell's curl equation. This technique requires less computational effort than the conventional FDTD method because larger space grid can be used in the simulations. To validate this scheme, several 2-D·3-D microwave structures are simulated and the results are compared with those of the conventional FDTD scheme.

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Haar-Wavelet-Based Compact 2D MRTD for the Efficient Dispersion Analysis of the Waveguide Structures (도파관 구조에서의 효율적인 분산특성 연구를 위한 Haar 웨이블릿 기반 Compact 2D MRTD)

  • 천정남;어수지;박현식;김형동
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.7
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    • pp.1131-1138
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    • 2001
  • This paper presents the new Compact 2D Haar-wavelet-based MultiResolution Time-Domain method (MRTD) as an accelerating algorithm for the conventional Compact BD Finite-Difference Time-Domain method (FDTD). To validate this algorithm, we analyzed the dispersion characteristics of the hollow rectangular waveguide and dielectric slab-loaded rectangular waveguide. The results of the proposed method are very weal agreed with those of both the conventional analytic method and the Compact 2D FDTD method. The CPU time for analysis of this method is reduced to about a half of the conventional Compact 2D FDTD method. The proposed method is valuable as a fast algorithm in the research of dispersion characteristics of waveguide structures.

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Optimizing Wavelet in Noise Canceler by Deep Learning Based on DWT (DWT 기반 딥러닝 잡음소거기에서 웨이블릿 최적화)

  • Won-Seog Jeong;Haeng-Woo Lee
    • The Journal of the Korea institute of electronic communication sciences
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    • v.19 no.1
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    • pp.113-118
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    • 2024
  • In this paper, we propose an optimal wavelet in a system for canceling background noise of acoustic signals. This system performed Discrete Wavelet Transform(DWT) instead of the existing Short Time Fourier Transform(STFT) and then improved noise cancellation performance through a deep learning process. DWT functions as a multi-resolution band-pass filter and obtains transformation parameters by time-shifting the parent wavelet at each level and using several wavelets whose sizes are scaled. Here, the noise cancellation performance of several wavelets was tested to select the most suitable mother wavelet for analyzing the speech. In this study, to verify the performance of the noise cancellation system for various wavelets, a simulation program using Tensorflow and Keras libraries was created and simulation experiments were performed for the four most commonly used wavelets. As a result of the experiment, the case of using Haar or Daubechies wavelets showed the best noise cancellation performance, and the mean square error(MSE) was significantly improved compared to the case of using other wavelets.

Design of Fuzzy System for Decision of Arrhythmia using Wavelet Coefficients (웨이브렛 계수를 이용한 부정맥 판정용 퍼지시스템 설계)

  • Kim, Min-Soo;Seo, Hee-Don
    • Journal of Sensor Science and Technology
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    • v.11 no.4
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    • pp.230-238
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    • 2002
  • In this paper, we designed a fuzzy system using the wavelet coefficients to detection the PVCs effectively and to increase the accuracy of decision of the arrhythmia. In the proposed Fuzzy system, the QRS complex of ECG signal is divided into 6th level frequence bands by wavelet transform using Haar wavelet. The MIT/BIH database for the source of input signal is used in order to evaluate the performance of the proposed system. From the simulation results, the decision of membership functions for PVCs and heart rates by using Fuzzy rules, we detected the abnormal values effectively by application of leaned from neural network and we also found results in classification ratio of 95% the decision of arrhythmia.

Time-Frequency Analysis Using Linear Combination Wavelet Transform and Its Application to Diagnostic Monitoring System (선형조합 웨이브릿 변환을 사용한 시간-주파수 분석 및 진단 모니터링 시스템의 적용)

  • 김민수;권기룡;김석태
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.1
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    • pp.83-95
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    • 1999
  • Wavelet transform has localization for time or frequency. It is useful to analyze a nonstationary signal. Basic function on wavelet transform is generated dilating and translating the original wavelet(mother wavelet). In this paper, time-frequency analysis method using linear combination wavelet transform is proposed. And it is applied to diagnostic monitoring system using the proposed linear combination wavelet transform. The stationary and nonstationary signal is used linear chirp signal, fan noise signal, a sinusoid signal from revolution body, electronic signal. Transform applied to signal analysis use fast Fourier transform (FFT), Daubechies, Haar and proposed linear combination method. The result of time-frequency analysis using linear combination wavelet transform is suited for portraying nonstationary time signal as well as stationary signal. Also the diagnostic monitoring system carry out the effective the signal analysis.

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Human Face Recognition using BP Neural Networks and Edge Image Extraction Based on Haar Wavelet (Haar 웨이블릿 기반 에지영상추출과 BP 신경망을 이용한 얼굴 인식)

  • Choi, Gwang-Mi;Jung, Chai-Yeoung
    • Proceedings of the Korea Information Processing Society Conference
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    • 2003.05a
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    • pp.635-638
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    • 2003
  • 본 논문에서는 Haar 웨이블릿을 이용하여 얼굴에지영상을 추출하고 고차국소자동상관함수를 이용한 특징벡터추출과 BP(Backpropagation Network) 알고리즘을 이용하여 얼굴을 인식하는 방법을 제안한다. 이를 위한 얼굴인식에 사용된 실험영상은 $320{\times}240$ 크기의 24bit RGB 컬러 영상을 사용하였고, 차영상을 이용하여 얼굴영역을 분리한 후 Haar 웨이블릿을 이용한 에지영상 추출과 얼굴영역의 특징벡터를 구하기 위하여 고차 국소 자동 상관함수를 사용하였다. 계산된 특징벡터는 BP 신경망의 학습을 통하여 얼굴인식을 위한 데이터로 사용된다. 시뮬레이션을 통해 제안된 알고리즘에 의한 인식률향상과 속도 향상을 입증한다.

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A Method for the Increasing Efficiency of the Watershed Based Image Segmentation using Haar Wavelet Transform (Haar 웨이블릿 변환을 사용한 Watershed 기반 영상 분할의 효율성 증대를 위한 기법)

  • 김종배;김항준
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.40 no.2
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    • pp.1-10
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    • 2003
  • This paper presents an efficient method for image segmentation based on a multiresolution application of a wavelet transform and watershed segmentation algorithm. The procedure toward complete segmentation consists of four steps: pyramid representation, image segmentation, region merging and region projection. First, pyramid representation creates multiresolution images using a wavelet transform. Second, image segmentation segments the lowest-resolution image of the pyramid using a watershed segmentation algorithm. Third, region merging merges the segmented regions using the third-order moment values of the wavelet coefficients. Finally, the segmented low-resolution image with label is projected into a full-resolution image (original image) by inverse wavelet transform. Experimental results of the presented method can be applied to the segmentation of noise or degraded images as well as reduce over-segmentation.

Thermal-magneto-mechanical stability analysis of single-walled carbon nanotube conveying pulsating viscous fluid

  • R. Selvamani;M. Mahaveer Sree Jayan;Marin Marin
    • Coupled systems mechanics
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    • v.12 no.1
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    • pp.21-40
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    • 2023
  • In thisstudy, the vibration problem ofthermo elastic carbon nanotubes conveying pulsating viscous nano fluid subjected to a longitudinal magnetic field is investigated via Euler-Bernoulli beam model. The controlling partial differential equation of motion is arrived by adopting Eringen's non local theory. The instability domain and pulsation frequency of the CNT is obtained through the Galerkin's method. The numerical evaluation of thisstudy is devised by Haar wavelet method (HWM). Then, the proposed model is validated by analyzing the critical buckling load computed in presentstudy with the literature. Finally, the numerical calculation ofsystem parameters are shown as dispersion graphs and tables over non local parameter, magnetic flux, temperature difference, Knudsen number and viscous parameter.

A design and implementation of threshold-adjusted EZW image encoder (Threshold에 기반한 EZW 영상 부호기의 설계와 구현)

  • 채희중;이호석
    • Proceedings of the IEEK Conference
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    • 2000.09a
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    • pp.287-290
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    • 2000
  • 본 논문은 threshold 에 기반한 (threshold-adjusted) EZW(Embedded Zerotree Wavelet) 부호화 모듈의 설계와 구현에 대하여 소개한다. EZW 부호화는 먼저 입력된 정지 영상에 대하여 Haar 웨이브릿 변환을 수행한다. Haar 웨이브릿 변환된 영상은dominant와 subordinate의 2-pass과정을 거쳐 zerotree를 구성함으로서 EZW 부호화 과정을 수행한다. Threshold에 기반한 EZW는 부호화 과정에서 인간의 시각 체계를 고려하여 threshold 값을 적절히 조절함으로서 효율적인 출력 영상을 얻을 수 있도록 구현하였다.

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