• Title/Summary/Keyword: Gaussian Noise

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A New Result on the Convergence Behavior of the Least Mean Fourth Algorithm for a Multiple Sinusoidal Input

  • Lee, Kang-Seung
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.2E
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    • pp.3-9
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    • 1999
  • In this paper we study the convergence behavior of the least mean fourth(LMF) algorithm where the error raised to the power of four is minimized for a multiple sinusoidal input and Gaussian measurement noise. Here we newly obtain the convergence equation for the sum of the mean of the squared weight errors, which indicates that the transient behavior can differ depending on the relative sizes of the Gaussian noise and the convergence constant. It should be noted that no similar results can be expected from the previous analysis by Walach and Widrow/sup [1]/.

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A Coherent Algorithm for Noise Revocation of Multispectral Images by Fast HD-NLM and its Method Noise Abatement

  • Hegde, Vijayalaxmi;Jagadale, Basavaraj N.;Naragund, Mukund N.
    • International Journal of Computer Science & Network Security
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    • v.21 no.12spc
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    • pp.556-564
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    • 2021
  • Numerous spatial and transform-domain-based conventional denoising algorithms struggle to keep critical and minute structural features of the image, especially at high noise levels. Although neural network approaches are effective, they are not always reliable since they demand a large quantity of training data, are computationally complicated, and take a long time to construct the model. A new framework of enhanced hybrid filtering is developed for denoising color images tainted by additive white Gaussian Noise with the goal of reducing algorithmic complexity and improving performance. In the first stage of the proposed approach, the noisy image is refined using a high-dimensional non-local means filter based on Principal Component Analysis, followed by the extraction of the method noise. The wavelet transform and SURE Shrink techniques are used to further culture this method noise. The final denoised image is created by combining the results of these two steps. Experiments were carried out on a set of standard color images corrupted by Gaussian noise with multiple standard deviations. Comparative analysis of empirical outcome indicates that the proposed method outperforms leading-edge denoising strategies in terms of consistency and performance while maintaining the visual quality. This algorithm ensures homogeneous noise reduction, which is almost independent of noise variations. The power of both the spatial and transform domains is harnessed in this multi realm consolidation technique. Rather than processing individual colors, it works directly on the multispectral image. Uses minimal resources and produces superior quality output in the optimal execution time.

Performance Analysis of Maximum Zero-Error Probability Algorithm for Blind Equalization in Impulsive Noise Channels (충격성 잡음 채널의 블라인드 등화를 위한 최대 영-확률 알고리듬에 대한 성능 분석)

  • Kim, Nam-Yong
    • Journal of Internet Computing and Services
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    • v.11 no.5
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    • pp.1-8
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    • 2010
  • This paper presentsthe performance study of blind equalizer algorithms for impulsive-noise environments based on Gaussian kernel and constant modulus error(CME). Constant modulus algorithm(CMA) based on CME and mean squared error(MSE) criterion fails in impulsive noise environment. Correntropy blind method recently introduced for impulsive-noise resistance has shown in PAM system not very satisfying results. It is revealed in theoretical and simulation analysis that the maximization of zero-error probability based on CME(MZEP-CME) originally proposed for Gaussian noise environments produces superior performance in impulsive noise channels as well. Gaussian kernel of MZEP-CME has a strong effect of becoming insensitive to the large differences between the power of impulse-infected outputs and the constant modulus value.

An Improved Speech Absence Probability Estimation based on Environmental Noise Classification (환경잡음분류 기반의 향상된 음성부재확률 추정)

  • Son, Young-Ho;Park, Yun-Sik;An, Hong-Sub;Lee, Sang-Min
    • The Journal of the Acoustical Society of Korea
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    • v.30 no.7
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    • pp.383-389
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    • 2011
  • In this paper, we propose a improved speech absence probability estimation algorithm by applying environmental noise classification for speech enhancement. The previous speech absence probability required to seek a priori probability of speech absence was derived by applying microphone input signal and the noise signal based on the estimated value of a posteriori SNR threshold. In this paper, the proposed algorithm estimates the speech absence probability using noise classification algorithm which is based on Gaussian mixture model in order to apply the optimal parameter each noise types, unlike the conventional fixed threshold and smoothing parameter. Performance of the proposed enhancement algorithm is evaluated by ITU-T P.862 PESQ (perceptual evaluation of speech quality) and composite measure under various noise environments. It is verified that the proposed algorithm yields better results compared to the conventional speech absence probability estimation algorithm.

A Study on the Denoising Method by Multi-threshold for Underwater Transient Noise Measurement (수중 천이소음측정을 위한 다중 임계치 잡음제거기법 연구)

  • 최재용;도경철
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.6
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    • pp.576-584
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    • 2002
  • This paper proposes a new denosing method using wavelet packet, to reject unknown external noise and white gaussian ambient noise for measuring the transient noise which is one of the important elements for ship classification. The previous denosing method applied the same wavelet threshold at each node of multi-single sensors for rejecting white noise is not adequate in the underwater environment existing lots of external noises. The proposed algorithm of this paper applies a modified soft-threshold to each node according to the discriminated threshold so as to reject unknown external noise and white gaussian ambient noise. It is verified by numerical simulation that the SNR is increased more than 25㏈. And the simulation results are confirmed through sea-trial using multi-single sensors.

A Study on Nonlinear Composit Filter for Mixed Noise Removal (복합 잡음 제거를 위한 비선형 합성 필터에 관한 연구)

  • Kwon, Se-Ik;Kim, Nam-Ho
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2017.05a
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    • pp.793-796
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    • 2017
  • Image signal can be damaged by a variety of noises during the signal processing, and multiple studies have been conducted to restore these signals. The representative noises to be added in the image are salt and pepper noise, additive white Gaussian noise(AWGN), and the composite noise which two noises are combined. Therefore, the algorithms were proposed to process with quadratic spline interpolation and median filter in case of salt and pepper noise with the central pixel of the local mask, and to process with weight filter by pixel changes in case of AWGN, upon noise determination to restore the damaged image in the composite noise environment, in this article.

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A Study on the Modified Mean Filter Algorithm for Removal AWGN (AWGN 제거를 위한 변형된 평균 필터 알고리즘에 관한 연구)

  • Long, Xu;Kim, Nam-Ho
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2014.05a
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    • pp.792-794
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    • 2014
  • In the modern society where the communication technology has rapidly developed, image devices such as digital display, camera, etc., forms the center. However, during the transmission of image data, storing, and obtaining, a noise is added to the image due to various reasons and degrades the quality of the image. In this paper, an average filter algorithm modified in order to ease the effect of AWGN(additive white Gaussian noise) being added to the image was proposed. Also compare existing methods through the using PSNR.

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Machine Learning Model for Low Frequency Noise and Bias Temperature Instability (저주파 노이즈와 BTI의 머신 러닝 모델)

  • Kim, Yongwoo;Lee, Jonghwan
    • Journal of the Semiconductor & Display Technology
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    • v.19 no.4
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    • pp.88-93
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    • 2020
  • Based on the capture-emission energy (CEE) maps of CMOS devices, a physics-informed machine learning model for the bias temperature instability (BTI)-induced threshold voltage shifts and low frequency noise is presented. In order to incorporate physics theories into the machine learning model, the integration of artificial neural network (IANN) is employed for the computation of the threshold voltage shifts and low frequency noise. The model combines the computational efficiency of IANN with the optimal estimation of Gaussian mixture model (GMM) with soft clustering. It enables full lifetime prediction of BTI under various stress and recovery conditions and provides accurate prediction of the dynamic behavior of the original measured data.

Algorithm of Adaptive Noise Reduction with Modified Sigma Filter for Reduction of Edge Blurring and Minute Noises (윤곽선 훼손 방지 및 미세잡음 제거를 위한 Modified Sigma Filter를 이용한 적응적 잡음 제거장치 알고리즘)

  • Yang, Jeong-Ju;Han, Hag-Yong;Yang, Hoon-Gee;Kang, Bong-Soon;Lee, Gi-Dong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.10
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    • pp.2261-2268
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    • 2010
  • The information captured by imaging devices such as CCD or CIS may contain external noises through the processes of passing signals or storing images. In this paper, we propose a Modified Sigma Filter (MSF) algorithm to reduce such noises. In experiment, we verified that our MSF algorithm showed better performance in PSNR and 1D plot of simulation results compared with Gaussian Filter (GF), Local Sigma Filter (LSF). Tested images include random Gaussian Noises.

A Non-linear Variant of Improved Robust Fuzzy PCA (잡음 민감성이 향상된 주성분 분석 기법의 비선형 변형)

  • Heo, Gyeong-Yong;Seo, Jin-Seok;Lee, Im-Geun
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.4
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    • pp.15-22
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    • 2011
  • Principal component analysis (PCA) is a well-known method for dimensionality reduction and feature extraction while maintaining most of the variation in data. Although PCA has been applied in many areas successfully, it is sensitive to outliers and only valid for Gaussian distributions. Several variants of PCA have been proposed to resolve noise sensitivity and, among the variants, improved robust fuzzy PCA (RF-PCA2) demonstrated promising results. RF-PCA, however, is still a linear algorithm that cannot accommodate non-Gaussian distributions. In this paper, a non-linear algorithm that combines RF-PCA2 and kernel PCA (K-PCA), called improved robust kernel fuzzy PCA (RKF-PCA2), is introduced. The kernel methods make it to accommodate non-Gaussian distributions. RKF-PCA2 inherits noise robustness from RF-PCA2 and non-linearity from K-PCA. RKF-PCA2 outperforms previous methods in handling non-Gaussian distributions in a noise robust way. Experimental results also support this.