• Title/Summary/Keyword: Wavelet coefficient

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A Study on Estimation of Coefficient Using Wavelet Transform and Its Application to the Evaluation of Harshness in Passenger Car (웨이브렛 해석을 이용한 승용차의 충격 하쉬니스 개선)

  • Lee, Sang-Kwon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1710-1715
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    • 2000
  • Estimation of damping ratio for vibration signals measured on the passenger car's seat is useful for the objective evaluation of impact harshness in car. The vibration signal is a transient signal represented by many coupled modes of suspension system. Wavelet transform automatically decouples these modes in the time-frequency domain. Damping ratios for decoupled modes are obtained by logarithmic treatment for the Wavelet transformed signal. The objective evaluation using Wavelet transform has been well corresponded with subjective evaluation done by skilled engineers.

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DECAY CHARACTERISTICS OF THE HAT INTERPOLATION WAVELET COEFFICIENTS IN THE TWO-DIMENSIONAL MULTIRESOLUTION REPRESENTATION

  • KWON KIWOON;KIM YOON YOUNG
    • Journal of the Korean Mathematical Society
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    • v.42 no.2
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    • pp.305-334
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    • 2005
  • The objective of this study is to analyze the decay characteristics of the hat interpolation wavelet coefficients of some smooth functions defined in a two-dimensional space. The motivation of this research is to establish some fundamental mathematical foundations needed in justifying the adaptive multiresolution analysis of the hat-interpolation wavelet-Galerkin method. Though the hat-interpolation wavelet-Galerkin method has been successful in some classes of problems, no complete error analysis has been given yet. As an effort towards this direction, we give estimates on the decaying ratios of the wavelet coefficients at children interpolation points to the wavelet coefficient at the parent interpolation point. We also give an estimate for the difference between non-adaptively and adaptively interpolated representations.

Identification of Tool Breakage Signal Using Wavelet Transform of Feed Motor Current in Milling Operations (이송모터 전류신호의 Wavelet 변환에 의한 공구파손 식별)

  • Park, H.Y.;Kim, S.H.;Lee, M.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.9
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    • pp.31-37
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    • 1996
  • This Paper is concerned with effective signal identification method for tool breakage and micro chipping using discrete wavelet transform of feed motor current in milling operations. The wavelet transform uses an analyzing waveletfunction which is localized in both frequency and time domain to detect subtle time localized changes in input signals. The changing pattern of wavelet coefficient is continuously compared to detect tool breakage and micro chipping over one spindle revolution. The results indicate that the wavelet transform can identify tool failure with much greater sensi- tivity than the time domain monitoring and frequency domain monitoring such as FFT. Experimental results are presented to support the proposed scheme.

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Fractal Scaling of Permeability in Unsaturated Fractured Tuff: Wavelet-Based Approach

  • Hyun, Yunjung
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.09a
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    • pp.140-143
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    • 2003
  • Air permeabilities in unsaturated fractured tuff at the Apache Leap Research Site (ALRS) near Superior, Arizona, exhibit a self-affine behavior, thus renders a field random fractal. Based up fractal scaling, the observed scale effect has been interpreted [Hyun et al., 2002]. Recently, Frantziskonis and Hansen [2000] presented that fractal scaling can be represented based on wavelets. This study deals with the way of using wavelets for fractal scaling. A numerical study is presented to examine the applicability of wavelet-based approach to determining upscaled air permeability values on various data supports at the site. To characterize the scaling property of self-affine fields generated based upon wavelets, Hurst coefficient, H. was inferred by applying the average wavelet coefficient (AWC) method. The result yielded H = 0.24, which is very close to the result of geostatistical analysis using a power variogram (H = 0.22). The study concludes that wavelet-based scaling is a useful way of determining parameter values on different data supports, which is an essential task for modeling of subsurface flow and mass transport in a numeric grid with different resolutions (grid size).

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Digital Watermarking Using Embedded Zerotree Wavelet Algorithm (Embedded Zerotree Wavelet 알고리즘을 이용한 디지털 워터마킹)

  • Son, Young-Woo
    • Journal of Digital Contents Society
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    • v.7 no.1
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    • pp.53-58
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    • 2006
  • In this paper, We proposed extraction method using EZW a specific character and then add watermark significant coefficient of image. After wavelet transform in image, the significant coefficient value add to watermark information image. In this method, the locations of nonzero wavelet coefficients are encoded with a tree structure, called zerotree, which can exploit the self-similarity of the pyramid decomposition across different scales. The simulation shows that this method provides a superior performance over conventional method and can be successfully applied to the application areas that requires of progressive transmission and search for image data.

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Wavelet image coding using an improved zerotree-structure (개선된 제로트리 구조를 이용한 웨이브릿 기반의 영상 부호화)

  • 한명수;정영훈;김재호
    • Proceedings of the IEEK Conference
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    • 2001.09a
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    • pp.743-746
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    • 2001
  • An improved zerotree-structure based wavelet coding algorithm is proposed. When the descendants of a significant coefficient are all zerotree, its four-childs are coded respectively in conventional EZW. But in the proposed algorithm, a new symbol is assigned for the significant coefficient. Entropy for both methods are analyzed and new coding scheme is proposed. The experimental results show that the Proposed algorithm has a better performance than the original EZW algorithm.

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Performance Analysis for Wavelet in the Wavelet Shift Keying Systems (웨이브릿 편이 변조 시스템에서 웨이브릿에 대한 성능분석)

  • Jeong, Tae-Il;Kim, Eun-Ju
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.8
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    • pp.1580-1586
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    • 2009
  • Wavelet transform is utilized to the field of the signal processing and the digital communication. In this paper, the performance for wavelets is analyzed for Haar and Daubechies series in the wavelet shift keying. It is mainly utilized to Haar, Daubechies 4tap, 8tap and 12tap in this paper. The analysis scheme is utilized by the eye pattern and the error probability. As a results of simulation, we confirmed that the proposed scheme was superior to performance when the number of the filler coefficient is small.

A new Robust Wavelet Shift Keying System Using Scaling and Wavelet Functions (스케일링 함수와 웨이브릿을 이용한 잡음에 강인한 새로운 웨이브릿 편이 변조 시스템)

  • Jeong, Tae-Il
    • Journal of the Institute of Convergence Signal Processing
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    • v.9 no.2
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    • pp.98-103
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    • 2008
  • There are the frequency shift keying(FSK), phase shift keying(PSK) and amplitude shift keying(ASK) in the conventional digital communications method. In this paper, We proposed a new robust wavelet shift keying system using scaling and wavelet function in the digital communication. Wavelet Transform consist of a low frequency and high frequency coefficient. When the input signal is one, if it finds the impulse response, the signal is separated from the scaling and wavelet function. The binary data is encoded by modulator which assigned the scaling function to 1(one), and wavelet to zero(0). It was demonstrated by experiment that the proposed algorithm can be a robust noise.

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SWT (Stationary Wavelet Transform)을 이용한 영상 잡음 제거

  • Yu, Hye-Rim;Jo, Hyeon-Suk;Lee, Hyeong;Lee, In-Jeong
    • Proceedings of the Korea Society of Information Technology Applications Conference
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    • 2007.05a
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    • pp.9-28
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    • 2007
  • It is well known that wavelet transform is a signal processing technique which can display the signals on in both time and frequency domain. In this paper, we proposed a new approach based on stationary wavelet transform to provide an enhanced approach for eliminating noise. A 'stationary wavelet transform', where the coefficient sequences are not decimated at each stage, is described. The testing result on sample iris images has shown an enhanced image quality and also show that it has a superior performance than traditional discrete wavelet transform.

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A Study on Performance Analysis for Error Probability in SWSK Systems

  • Jeong, Tae-Il;Moon, Kwang-Seok;Kim, Jong-Nam
    • Journal of information and communication convergence engineering
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    • v.9 no.5
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    • pp.556-561
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    • 2011
  • This paper presents a new method for shift keying using the combination of scaling function and wavelet named scaling wavelet shift keying (SWSK). An algorithm for SWSK modulation is carried out where the scaling function and the wavelet are encoded to 1 and 0 in accordance with the binary input, respectively. Signal energy, correlation coefficient and error probability of SWSK are derived from error probability of frequency shift keying(FSK). The performance is analyzed in terms of error probability and it is simulated in accordance with the kind of the wavelet. Based on the results, we can conclude that the proposed scheme is superior to the performance of the conventional schemes.