• Title/Summary/Keyword: Discrete Wavelet

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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.

2D Digital Image Processing Using High Density Discrete Wavelet Transformation (고밀도 이산 웨이브렛 변환을 이용한 2차원 디지털 영상처리)

  • Lim, Joong-Hee;Shin, Jong-Hong;Jee, Inn-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.13 no.1
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    • pp.1-8
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    • 2013
  • High-density discrete wavelet transformation is one way to overcome the disadvantages of the standard wavelet transform of shift invariant because it increases the number of subband signals. In this paper, high-density discrete wavelet transform consisting of three channels is applied in a two-dimensional image processing. Experimental results show that the proposed method is well satisfied with the shift invariant and is excellent directional selectivity because it could generate many subband images.

The Detection of Voltage Sag using Wavelet Transform (웨이브렛 변환을 이용한 Voltage Sag 검출)

  • Kim, Cheol-Hwan;Go, Yeong-Hun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.9
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    • pp.425-432
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    • 2000
  • Wavelet transform is a new method fro electric power quality analysis. Several types of mother wavelets are compared using voltage sag data. Investigations on the use of some mother wavelets, namely Daubechies, Symlets, Coiflets, Biorthogonal, are carried out. On the basis of extensive investigations, optimal mother wavelets for the detection of voltage sag are chosen. The recommended mother wavelet is 'Daubechies 4(db4)' wavelet. 'db4', the most commonly applied mother wavelet in the power quality analysis, can be used most properly in disturbance phenomena which occurs rapidly for a short time. This paper presents a discrete wavelet transform approach for determining the beginning time and end time of voltage sags. The technique is based on utilising the maximum value of d1(at scale 1) coefficients in multiresolution analysis(MRA) based on the discrete wavelet transform. The procedure is fully described, and the results are compared with other methods for determining voltage sag duration, such as the RMS voltage and STFT(Short-Time Fourier Transform) methods. As a result, the voltage sag detection using wavelet transform appears to be a reliable method for detecting and measuring voltage sags in power quality disturbance analysis.

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Design of an Efficient Lossless CODEC for Wavelet Coefficients (웨이블릿 계수에 대한 효율적인 무손실 부호화 및 복호화기 설계)

  • Lee, Seonyoung;Kyeongsoon Cho
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.40 no.5
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    • pp.335-344
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    • 2003
  • The image compression based on discrete wavelet transform has been widely accepted in industry since it shows no block artifacts and provides a better image quality when compressed to low bits per pixel, compared to the traditional JPEG. The coefficients generated by discrete wavelet transform are quantized to reduce the number of code bits to represent them. After quantization, lossless coding processes are usually applied to make further reduction. This paper presents a new and efficient lossless coding algorithm for quantified wavelet coefficients based on the statistical properties of the coefficients. Combined with discrete wavelet transform and quantization processes, our algorithm has been implemented as an image compression chip, using 0.5${\mu}{\textrm}{m}$ standard cells. The experimental results show the efficiency and performance of the resulting chip.

An Improved Detection Technique for Voltage Sag using the Wavelet Transform

  • Kim, Chul-Hwan;Lee, Jong-Po;Ahn, Sang-Pil;Kim, Byung-Chun
    • KIEE International Transactions on Power Engineering
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    • v.11A no.4
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    • pp.1-8
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    • 2001
  • This paper presents a discrete wavelet transform approach for detecting voltage sags initialized by fault conditions and starting of larger motors. The proposed technique is based on utilizing the summation value of D1(at scale 1) coefficients in multiresolution analysis(MRA) based on the discrete wavelet transform. In this paper, the proposed technique is tested under various cases of voltage sags. It is shown that the voltage sag detection technique based on the wavelet transform is a satisfactory and reliable method for detecting voltage sags in power quality disturbance analysis.

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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.

Active Noise Control Using Wavelet Transform Domain Least Mean Square (웨이블릿 변환역 최소평균자승법을 이용한 능동 소음 제어)

  • Kim, Doh-Hyoung;Park, Young-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.269-273
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    • 2000
  • This paper describes Active Noise Control (ANC) using Discrete Wavelet Transform (DWT) Domain Least Mean Square (LMS) Method. DWT-LMS is one of the transform domain input decorrelation LMS and improves the convergence speed of adaptive filter especially when the input signal is highly correlated. Conventional transform domain LMS's use Discrete Cosine Transform (DCT) because it offers linear band signal decomposition and fast transform algorithm. Wavelet transform can project the input signal into the several octave band subspace and offers more efficient sliding fast transform algorithm. In this paper, we propose Wavelet transform domain LMS algorithm and shows its performance is similar to DCT LMS in some cases using ANC simulation.

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Texture Image Fusion on Wavelet Scheme with Space Borne High Resolution Imagery: An Experimental Study

  • Yoo, Hee-Young;Lee , Ki-Won
    • Korean Journal of Remote Sensing
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    • v.21 no.3
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    • pp.243-252
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    • 2005
  • Wavelet transform and its inverse processing provide the effective framework for data fusion. The purpose of this study is to investigate applicability of wavelet transform using texture images for the urban remote sensing application. We tried several experiments regarding image fusion by wavelet transform and texture imaging using high resolution images such as IKONOS and KOMPSAT EOC. As for texture images, we used homogeneity and ASM (Angular Second Moment) images according that these two types of texture images reveal detailed information of complex features of urban environment well. To find out the useful combination scheme for further applications, we performed DWT(Discrete Wavelet Transform) and IDWT(Inverse Discrete Wavelet Transform) using texture images and original images, with adding edge information on the fused images to display texture-wavelet information within edge boundaries. The edge images were obtained by the LoG (Laplacian of Gaussian) processing of original image. As the qualitative result by the visual interpretation of these experiments, the resultant image by each fusion scheme will be utilized to extract unique details of surface characterization on urban features around edge boundaries.

Calculation Time Reduction Algorithm of 2-Dimensional Discrete Wavelet Transform (2차원 이산 웨이블릿 변환의 계산시간 감소를 위한 알고리듬)

  • 이혁범;유지상;김종현;서영호;김왕현;김동욱
    • Proceedings of the IEEK Conference
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    • 2000.11d
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    • pp.49-52
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    • 2000
  • This paper is to propose an algorithm to reduce the calculation time to perform the 2-dimensional Discrete Wavelet Transform(2DWT). We call this algorithm as Reduced 2-dimensional Discrete Wavelet Transformation(R2DWT). This algorithm uses a modified Mallat-tree such that in each level, the column transform is performed only with the low-pass filtered row transform result. The resulting number of sub-band regions is 2L+1, meanwhile the original(2DWT) has 3L+1 sub-regions, where L is the transform level. To show the proposed algorithm is useful without much loss in SNR(Signal-to-Noise Ratio), we performed experiments with various images. The results showed that above 5:1 in compression ratio, the proposed algorithm has less than 0.SdB difference in SNR from 2DWT with about 25% reduction in calculation time.

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Performance Evaluation and Analysis for Discrete Wavelet Transform on Many-Core Processors (매니코어 프로세서 상에서 이산 웨이블릿 변환을 위한 성능 평가 및 분석)

  • Park, Yong-Hun;Kim, Jong-Myon
    • IEMEK Journal of Embedded Systems and Applications
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    • v.7 no.5
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    • pp.277-284
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    • 2012
  • To meet the usage of discrete wavelet transform (DWT) on potable devices, this paper implements 2-level DWT using a reference many-core processor architecture and determine the optimal many-core processor. To explore the optimal many-core processor, we evaluate the impacts of a data-per-processing element ratio that is defined as the amount of data mapped directly to each processing element (PE) on system performance, energy efficiency, and area efficiency, respectively. This paper utilized five PE configurations (PEs=16, 64, 256, 1,024, and 4,096) that were implemented in 130nm CMOS technology with a 720MHz clock frequency. Experimental results indicated that maximum energy and area efficiencies were achieved at PEs=1,024. However, the system area must be limited 140mm2 and the power should not exceed 3 watts in order to implement 2-level DWT on portable devices. When we consider these restrictions, the most reasonable energy and area efficiencies were achieved at PEs=256.