• Title/Summary/Keyword: Wavelet 변환

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A Study on the EMI Signal Analysis and Denoising Using a Wavelet Transform (웨이브렛 변환을 이용한 EMI 신호해석 및 잡음제거에 관한 연구)

  • 윤기방;박제헌;김기두
    • Journal of the Korean Institute of Telematics and Electronics T
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    • v.35T no.3
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    • pp.37-45
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    • 1998
  • In this paper, the different frequency component and time informations from an EMI signal are extracted simultaneously using a wavelet transform and the results of transform in the time and frequency domain are analyzed. Frequencies are extracted from the EMI signal by performing the multiresolution analysis using the Daubechies-4 filter coefficients and the time information through the results of wavelet transform. We have tried the correlation analysis to evaluate the results of wavelet transform. We have chosen the optimal wavelet function for an object signal by comparing the transformed results of various wavelet functions and verified the simulation examples of waveform and harmonic analysis using a wavelet transform. We have proved the denoising effect to the EMI signal using the soft thresholding technique.

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Noise Reduction of Digital Image Using Wavelet Coefficient (웨이블릿 계수를 이용한 디지털영상에서의 잡음제거)

  • 남현주;최승권;신승수;조용환
    • Proceedings of the Korea Contents Association Conference
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    • 2003.05a
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    • pp.376-382
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    • 2003
  • Recently, there have been many types of wavelet transformations proposed to remove the noise from an signal and image data By using feature of seperating the noise from the original image the Wavelet transformations can retain the edges of the images The wavelet analysis is complete when the basis function is coded into the wavelet This Thesis describes a method of using wavelet transformation to remove the noise from an image signal. Although the wavelet transformation proposed by Donoho and Johnstone works, it does not reliably remove all the noise from the images. So this thesis propose an algorithm that selected Wavelet Shrinkgae and threshold according to the features of bands and amplitude of noise.

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Image Restoration Based on Wavelet Packet Transform with AA Thresholding (웨이블릿 패킷 변환과 AA임계 설정 기반의 영상복원)

  • Ryu, Kwang-Ryol
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.6
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    • pp.1122-1128
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    • 2007
  • The denoising for image restoration based on the Wavelet Packet Transform with AA(Absolute Average) making-threshold is presented. The wavelet packet transform leads to be better in the part of high frequency than wavelet transform to eliminate noise. And the existing threshold determination is used standard deviation estimated results in increasing the noise and threshold, and damaging an image quality. In addition that is decreased image restoration PSNR by using the same threshold in spite of changing image because of installing a threshold in proportion of noise size. In contrast the AA thresholding method with wavelet packet is adapted by changing image to set up threshold by statistic quantity of resolved image and is avoided an extreme impact. The results on the experiment has improved 10% and 5% over than the denoising based on simple wavelet transform and wavelet packet respectively.

Multi-scale Correlation Analysis between Sea Level Anomaly and Climate Index through Wavelet Approach (웨이블릿 접근을 통한 해수면 높이와 기후 지수간의 다중 스케일 상관 관계 분석)

  • Hwang, Do-Hyun;Jung, Hahn Chul
    • Korean Journal of Remote Sensing
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    • v.38 no.5_1
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    • pp.587-596
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    • 2022
  • Sea levels are rising as a result of climate change, and low-lying areas along the coast are at risk of flooding. Therefore, we tried to investigate the relationship between sea level change and climate indices using satellite altimeter data (Topex/Poseidon, Jason-1/2/3) and southern oscillation index (SOI) and the Pacific decadal oscillation (PDO) data. If time domain data were converted to frequency domain, the original data can be analyzed in terms of the periodic components. Fourier transform and Wavelet transform are representative periodic analysis methods. Fourier transform can provide only the periodic signals, whereas wavelet transform can obtain both the periodic signals and their corresponding time location. The cross-wavelet transformation and the wavelet coherence are ideal for analyzing the common periods, correlation and phase difference for two time domain datasets. Our cross-wavelet transform analysis shows that two climate indices (SOI, PDO) and sea level height was a significant in 1-year period. PDO and sea level height were anti-phase. Also, our wavelet coherence analysis reveals when sea level height and climate indices were correlated in short (less than one year) and long periods, which did not appear in the cross wavelet transform. The two wavelet analyses provide the frequency domains of two different time domain datasets but also characterize the periodic components and relative phase difference. Therefore, our research results demonstrates that the wavelet analyses are useful to analyze the periodic component of climatic data and monitor the various oceanic phenomena that are difficult to find in time series analysis.

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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Decoupling of Free Decay Roll Data by Discrete Wavelet Transform (이산 웨이블렛 변환을 이용한 자유감쇠 횡요 데이타의 분리)

  • Kwon, Sun-Hong;Lee, Hee-Sung;Lee, Hyoung-Suk;Ha, Mun-Keun
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2001.10a
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    • pp.169-173
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    • 2001
  • This study presents the results of decoupling of free decay roll test data by discrete wavelet transform. Free roll decay test was performed to decide the coefficients of damping terms in equation of motion. During the experiment, a slight yaw motion was found while the model was in the free roll decay motion. Discrete wavelet transform was applied to the signal to extract the pure roll motion. The results were compared to those of the Fourier transform. DWT was able to decouple the two signals efficiently while the Fourier transform was not.

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The Psuedocolor Image Enhancement on Gray Image with Wavelet Filter Coefficients (웨이블릿 필터계수를 적용한 그레이 이미지의 의사컬러 향상에 관한 연구)

  • 유병근;김윤호;류광렬
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.10a
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    • pp.260-263
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    • 2003
  • The pseudocolor mage enhancement of gray image using wavelet filter coefficients is presented. The psuedocolor enhancement is that the decomposition enhancement is realized by wavelet transform and RGB image is extracted by wavelet filter coefficients with norma waveletl. The result of experiment an increases enhanced gray image as 30dB compared the processing of wavelet filter coefficients.

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Patterns Recognition Using Translation-Invariant Wavelet Transform (위치이동에 무관한 웨이블릿 변환을 이용한 패턴인식)

  • Kim, Kuk-Jin;Cho, Seong-Won;Kim, Jae-Min;Lim, Cheol-Su
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.3
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    • pp.281-286
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    • 2003
  • Wavelet Transform can effectively represent the local characteristics of a signal in the space-frequency domain. However, the feature vector extracted using wavelet transform is not translation invariant. This paper describes a new feature extraction method using wavelet transform, which is translation-invariant. Based on this translation-invariant feature extraction, the iris recognition method, based on this feature extraction method, is robust to noises. Experimentally, we show that the proposed method produces super performance in iris recognition.

A Study on Hilbert Transform Pair of Wavelet using Truncated Coefficient Vector (절단된 계수 벡터를 사용한 웨이브렛의 힐버트 변환쌍에 관한 연구)

  • 배상범;김남호
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.5
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    • pp.1095-1100
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    • 2003
  • The wavelet transform pair used simultaneously when two wavelets are designed to form an approximate Hilbert transform pair provide excellent property than present DWT(discrete wavelet transform), especially in field that detect wide-band signals like pulse and increase the bit rate at the same bandwidth. In this paper, the two dyadic wavelet bases which form an approximate Hilbert transform pair were designed, and flat delay filter which has the truncated coefficient vector is used in order that the two filters can form Hilbert transform relation in the process of design.

A Study on Suppression of Ultrasonic Background Noise Signal using wavelet Transform (Wavelet변환을 이용한 초음파 잡음신호의 제거에 관한 연구)

  • 박익근
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.8 no.1
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    • pp.135-141
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    • 1999
  • Recently, advance signal analysis which is called "Time-Frequency Analysis" has been developed. Wavelet and Wigner Distribution are used to the method. Wavelet transform(WT) is applied to time-frequency analysis of waveforms obtained by an ultrasonic pulse-echo technique. The Gabor function is adopted as the analyzing wavelet. Wavelet analysis method is an attractive technique for evolution of material characterization evoluation. In this paper, the feasibility of suppression of ultrasonic background noise signal using WT has been presented. These results suggest that ultrasonic background noise ginal can be suppressed and enhanced even for SNR of 20.8 dB. This property of the WT is extremely useful for the detecting flaw echos embedded in background noise.und noise.

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