• Title/Summary/Keyword: wavelet packet transform

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Damage Evaluation of a Framed Structure Using Wavelet Packet Transform (웨이블렛펙킷 변환을 이용한 프레임 구조물의 건전성 평가)

  • Kim, Han Sang
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.3
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    • pp.159-166
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    • 2007
  • This paper evaluates the soundness of structural elements using Wavelet Packet Transform (WPT). WPT is applied to the response acceleration of a framed structure which is subjected to earthquake load to decompose the response acceleration, then the energy of each component is calculated. The first five largest components in energy magnitude among the decomposed components are selected as input to an ANN to identify the damage location and severity. Two nodes in output layer yield damaged element and damage severity respectively. This method successfully evaluates the amount of damage and its location in the structure.

CONTINUOUS MULTISCALE ANALYSIS ON THE HEISENBERG GROUP

  • He, Jianxun
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.517-526
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    • 2001
  • In this paper, we study the continuous wavelet transform on the Heisenberg group H$^n$, and describe the related continuous multiscale analysis. By using the wavelet packet transform we obtain a reconstruction formula on L$^2$(H$^n$).

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Adaptive Noise Reduction using Standard Deviation of Wavelet Coefficients in Speech Signal (웨이브렛 계수의 표준편차를 이용한 음성신호의 적응 잡음 제거)

  • 황향자;정광일;이상태;김종교
    • Science of Emotion and Sensibility
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    • v.7 no.2
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    • pp.141-148
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    • 2004
  • This paper proposed a new time adapted threshold using the standard deviations of Wavelet coefficients after Wavelet transform by frame scale. The time adapted threshold is set up using the sum of standard deviations of Wavelet coefficient in cA3 and weighted cDl. cA3 coefficients represent the voiced sound with low frequency and cDl coefficients represent the unvoiced sound with high frequency. From simulation results, it is demonstrated that the proposed algorithm improves SNR and MSE performance more than Wavelet transform and Wavelet packet transform does. Moreover, the reconstructed signals by the proposed algorithm resemble the original signal in terms of plosive sound, fricative sound and affricate sound but Wavelet transform and Wavelet packet transform reduce those sounds seriously.

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A Study on High-Compressed Signal Enhancement using Wavelet Packet (Wavelet Packet을 이용한 고압축신호 개선에 관한 연구)

  • Min Woong kyu;Jang Sungwook;Yang Sung-il;Kwon Y.
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.85-88
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    • 1999
  • Adapted Local Trigonometric Transforms은 매우 높은 energy compaction을 가지므로 음성 및 영상신호에 이용하려는 시도가 이루어지고 있다. [1] 그러나 이 경우 복원 된 신호에는 시간 영역에서 불연속점이 발생하여 일종의 tick noise가 발생한다. 또한 phase성분을 잃게 되어 금속성 잡음도 추가하여 나타난다. 본 논문에서는 이러한 문제점을 해결하기 위한 Polynomial fitting 방식과 Wavelet Packet Transforms 방식을 제안한다. Polynomial fitting 방식으로는 시간축상에서 발생하는 문제를 해결하고 Wavelet Packet Transforms으로 Phase 문제를 해결한다. [2,3] 실험결과, 압축이전의 신호와 비교할 때 SNR에 있어서 개선을 보이며 tick noise와 금속성 잡음이 제거된 개선된 신호음을 확인 할 수 있었다.

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Improved Decoupled Control and Islanding Detection of Inverter-Based Distribution in Multibus Microgrid Systems

  • Pinto, Smitha Joyce;Panda, Gayadhar
    • Journal of Power Electronics
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    • v.16 no.4
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    • pp.1526-1540
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    • 2016
  • This work mainly discusses an accurate and fast islanding detection based on fractional wavelet packet transform (FRWPT)for multibus microgrid systems. The proposed protection scheme uses combined desirable features retrieved from discrete fractional Fourier transform (FRFT) and wavelet packet transform (WPT) techniques, which provides precise time-frequency information on minute perturbation signals introduced in the system. Moreover, this study focuses on the design of decoupling control with a distributed controller based on state feedback for the efficient operation of microgrid systems that are transitioning from the grid-connected mode to the islanded mode. An IEEE 9-bus test system with inverter based distributed generation (DG) units is considered for islanding assessment and smooth operation. Finally, tracking errors are greatly reduced with stability improvement based on the proposed controller. FRWPT based islanding detection is demonstrated via a time domain simulation of the system. Simulated results show an improvement in system stability with the application of the proposed controller and accurate islanding detection based on the FRWPT technique in comparison with the results obtained by applying the wavelet transform (WT) and WPT.

Semi-Fragile Image Watermarking for Authentication Using Wavelet Packet Transform Based on The Subband Energy (부대역 에너지 기반 웨이블릿 패킷 변환을 이용한 인증을 위한 세미 프레자일 영상 워터마킹)

  • Park, Sang-Ju;Kwon, Tae-Hyeon
    • The KIPS Transactions:PartB
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    • v.12B no.4 s.100
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    • pp.421-428
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    • 2005
  • A new method of Semi-fragile image watermarking which ensures the integrity of the contents of digital image is presented. Proposed watermarking scheme embeds watermark in the form of quantization noise on the wavelet transform coefficients in a specific mid frequency subbands selected from a wavelet packet decomposition based on energy distribution of wavelet transform coefficients. By controlling the strength of embedded watermark using HVS (Human Visual System) characteristic, it is imperceptible by a human viewer while robust against non-malicious attack such as compression for storage and/or transmission. When an attack is applied on the original image, it is highly probable that wavelet transform coefficients not only at the exact attack positions but also the neighboring ones are modified. Therefore, proposed authentication method utilizes whether both current coefficient and its neighbors are damaged. together. So it can efficiently detect and accurately localize attacks inflicted on the content of original image. Decision threshold for authentication can be user controlled for different application areas as needed.

A Comparative Study of Discrete Wavelet Transform(DWT) and Wavelet Packet Transform(WPT) for a Li-Ion Cell (이차전지의 이산 웨이블릿 변환(DWT) 및 웨이블릿 패킷 변환(WPT) 비교 분석)

  • Kim, J.H.
    • Proceedings of the KIPE Conference
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    • 2014.07a
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    • pp.152-153
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    • 2014
  • 본 논문에서는 이차전지의 특성비교/분석을 위해 이산 웨이블릿 변환(DWT;discrete wavelet transform)과 웨이블릿 패킷 변환(WPT;wavelet packet transform)을 적용한 연구를 소개한다. 다해상도 분석(MRA; multi resolution analysis)의 시간-주파수 분석을 통해 저주파 성분(approximation;$A_n$)과 고주파 성분(detail;$D_n$)로 분해되는 것은 두 방법 동일하다. 하지만, 이산 웨이블릿 변환이 단순히 저대역 부분만 계속 분해하는 것과 달리 웨이블릿 패킷 변환은 저대역과 고대역을 모두 분해하여 높은 분해성능을 가지는 웨이블릿의 일반화이다. 웨이블릿 패킷 변환을 자세히 소개하고 이를 이차전지에 적용하여 이산 웨이블릿 변환과의 상관성을 정리하였다.

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Adaptive Noise Reduction of Speech Using Wavelet Transform (웨이브렛 변환을 이용한 음성의 적응 잡음 제거)

  • Lee, Chang-Ki;Kim, Dae-Ik
    • The Journal of the Korea institute of electronic communication sciences
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    • v.4 no.3
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    • pp.190-196
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    • 2009
  • A new time adapted threshold using the standard deviations of Wavelet coefficients after Wavelet transform by frame scale is proposed. The time adapted threshold is set up using the sum of standard deviations of Wavelet coefficient in level 3 approximation and weighted level 1 detail. Level 3 approximation coefficients represent the voiced sound with low frequency and level 1 detail coefficients represent the unvoiced sound with high frequency. After reducing noise by soft thresholding with the proposed time adapted threshold, there are still residual noises in silent interval. To reduce residual noises in silent interval, a detection algorithm of silent interval is proposed. From simulation results, it can be noticed that SNR and MSE of the proposed algorithm are improved than those of Wavelet transform and than those of Wavelet packet transform.

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Speech Noise Cancellation using Time Adaptive Threshold Value in Wavelet Transform

  • Lee Chul-Hee;Lee Ki-Hoon;Hwang Hyang-Ja;Moon In-Seob;Kim Chong-Kyo
    • Proceedings of the IEEK Conference
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    • summer
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    • pp.244-248
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    • 2004
  • This paper proposes a new noise cancellation method for speech recognition in noise environments. We determine the time adaptive threshold value using standard deviations of wavelet coefficients after wavelet transform by frames. The time adaptive threshold value is set up by using sum of standard deviations of wavelet coefficients in cA3 and weighted cD1. cA3 coefficients represent the voiced sound with lower frequency components and cD1 coefficients represent the unvoiced sound with higher frequency components. In experiments, we removed noise after adding white Gaussian noise and colored noise to original speech. The proposed method improved SNR and MSE more than wavelet transform and wavelet packet transform does. As a result of speech recognition experiment using noise speech DB, recognition performance is improved by $2\sim4\;\%.$

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Enhancement of Convergence Speed of Adaptive Algorithm using Wavelet Packet Transform (웨이브렛 패킷 변환을 이용한 적응알고리듬의 수렴속도 향상)

  • 박서용;김대성
    • The Journal of Information Technology
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    • v.2 no.2
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    • pp.127-138
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    • 1999
  • The wavelet transform is widely used in signal processing application. In this paper, a wavelet domain adaptive algorithm(WPTNLMS) is derived and its performances are evaluated in non-stationary environment. Where the input signals are decomposed by the wavelet packet transform for the multi-resolution adaptive processing. And the NLMS is used as an adaptive algorithm in wavelet domain. The proposed technique is applied to noise cancellation of the Doppler signal which is added with white Gaussian noise.

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