• Title/Summary/Keyword: Blind Equalization

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Blind linear/nonlinear equalization for heavy noise-corrupted channels

  • Han, Soo- Whan;Park, Sung-Dae
    • Journal of information and communication convergence engineering
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    • v.7 no.3
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    • pp.383-391
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    • 2009
  • In this paper, blind equalization using a modified Fuzzy C-Means algorithm with Gaussian Weights (MFCM_GW) is attempted to the heavy noise-corrupted channels. The proposed algorithm can deal with both of linear and nonlinear channels, because it searches for the optimal channel output states of a channel instead of estimating the channel parameters in a direct manner. In contrast to the common Euclidean distance in Fuzzy C-Means (FCM), the use of the Bayesian likelihood fitness function and the Gaussian weighted partition matrix is exploited in its search procedure. The selected channel states by MFCM_GW are always close to the optimal set of a channel even the additive white Gaussian noise (AWGN) is heavily corrupted in it. Simulation studies demonstrate that the performance of the proposed method is relatively superior to existing genetic algorithm (GA) and conventional FCM based methods in terms of accuracy and speed.

A Modified FCM for Nonlinear Blind Channel Equalization using RBF Networks

  • Han, Soo-Whan
    • Journal of information and communication convergence engineering
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    • v.5 no.1
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    • pp.35-41
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    • 2007
  • In this paper, a modified Fuzzy C-Means (MFCM) algorithm is presented for nonlinear blind channel equalization. The proposed MFCM searches the optimal channel output states of a nonlinear channel, based on the Bayesian likelihood fitness function instead of a conventional Euclidean distance measure. In its searching procedure, all of the possible desired channel states are constructed with the elements of estimated channel output states. The desired state with the maximum Bayesian fitness is selected and placed at the center of a Radial Basis Function (RBF) equalizer to reconstruct transmitted symbols. In the simulations, binary signals are generated at random with Gaussian noise. The performance of the proposed method is compared with that of a hybrid genetic algorithm (GA merged with simulated annealing (SA): GASA), and the relatively high accuracy and fast searching speed are achieved.

A Stop-and-Go Dual-Mode Modified Constant Modulus Algorithm for Adaptive Blind Equalization of High-Order QAM Signals (고밀도 광 기록 채널을 위한 터보 코드와 터보 등화기를 연접한 데이터 복호 방법)

  • 임창현;김기윤;김동규;최형진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.6B
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    • pp.1074-1081
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    • 2000
  • In this paper, in order to speed up the convergence process and improve the steady mean square error simultaneously, we propose the Stop-and-Go Dual Mode Modified Constant Modulus Algorithm(SAG DM MCMA) for adaptive blind channel equalization of high order QAM. The proposed algorithm is a hybrid scheme of the Modified CMA that treat error signals with real and imaginary components of the equalizer output, the concept of dual mode CMA, and Stop-and-Go algorithm. As a result it can prevent blind equalization from converging to incorrect direction and simultaneously operates reliably for tap weight adaptation. We demonstrate via simulation that the proposed algorithm achieves lower steady state mean square error and residual ISI than the conventional algorithms under high order QAM signals and severe channel environment.

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Lagged Cross-Correlation of Probability Density Functions and Application to Blind Equalization

  • Kim, Namyong;Kwon, Ki-Hyeon;You, Young-Hwan
    • Journal of Communications and Networks
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    • v.14 no.5
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    • pp.540-545
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    • 2012
  • In this paper, the lagged cross-correlation of two probability density functions constructed by kernel density estimation is proposed, and by maximizing the proposed function, adaptive filtering algorithms for supervised and unsupervised training are also introduced. From the results of simulation for blind equalization applications in multipath channels with impulsive and slowly varying direct current (DC) bias noise, it is observed that Gaussian kernel of the proposed algorithm cuts out the large errors due to impulsive noise, and the output affected by the DC bias noise can be effectively controlled by the lag ${\tau}$ intrinsically embedded in the proposed function.

A Study on Blind Channel Equalization Based on Higher-Order Cumulants

  • Han, Soo-Whan
    • Journal of Korea Multimedia Society
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    • v.7 no.6
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    • pp.781-790
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    • 2004
  • This paper presents a fourth-order cumulants based iterative algorithm for blind channel equalization. It is robust with respect to the existence of heavy Gaussian noise in a channel and does not require the minimum phase characteristic of the channel. In this approach, the transmitted signals at the receiver are over-sampled to ensure the channel described by a full-column rank matrix. It changes a single-input/single-output (SISO) finite-impulse response (FIR) channel to a single-input/multi-output (SIMO) channel. Based on the properties of the fourth-order cumulants of the over-sampled channel outputs, the iterative algorithm is derived to estimate the deconvolution matrix which makes the overall transfer matrix transparent, i.e., it can be reduced to the identity matrix by simple reordering and scaling. Both a closed-form and a stochastic version of the proposed algorithm are tested with three-ray multi-path channels in simulation studies, and their performances are compared with a method based on conventional second-order cumulants. Relatively good results are achieved, even when the transmitted symbols are significantly corrupted with Gaussian noise.

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Blind Algorithms with Decision Feedback based on Zero-Error Probability for Constant Modulus Errors

  • Kim, Nam-Yong;Kang, Sung-Jin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.12C
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    • pp.753-758
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    • 2011
  • The constant modulus algorithm (CMA) widely used in blind equalization applications minimizes the averaged power of constant modulus error (CME) defined as the difference between an instant output power and a constant modulus. In this paper, a decision feedback version of the linear blind algorithm based on maximization of the zero-error probability for CME is proposed. The Gaussian kernel of the maximum zero-error criterion is analyzed to have the property to cut out excessive CMEs that may be induced from severely distorted channel characteristics. Decision feedback approach to the maximum zero-error criterion for CME is developed based on the characteristic that the Gaussian kernel suppresses the outliers and this prevents error propagation to some extent. Compared to the linear algorithm based on maximum zero-error probability for CME in the simulation of blind equalization environments, the proposed decision feedback version has superior performance enhancement particularly in cases of severe channel distortions.

Blind Signal Processing for Impulsive Noise Channels

  • Kim, Nam-Yong;Byun, Hyung-Gi;You, Young-Hwan;Kwon, Ki-Hyeon
    • Journal of Communications and Networks
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    • v.14 no.1
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    • pp.27-33
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    • 2012
  • In this paper, a new blind signal processing scheme for equalization in fading and impulsive-noise channel environments is introduced based on probability density functionmatching method and a set of Dirac-delta functions. Gaussian kernel of the proposed blind algorithm has the effect of cutting out the outliers on the difference between the desired level values and impulse-infected outputs. And also the proposed algorithm has relatively less sensitivity to channel eigenvalue ratio and has reduced computational complexity compared to the recently introduced correntropy algorithm. According to these characteristics, simulation results show that the proposed blind algorithm produces superior performance in multi-path communication channels corrupted with impulsive noise.

Fractionally Spaced Blind Equalization Using Singular Value Decomposition (특이값 분해를 이용한 블라인드 부분 간격 등화기)

  • Kim, Geumbee;Lee, Jeongwon;Nam, Haewoon;Park, Daeyoung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.9
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    • pp.1041-1043
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    • 2016
  • This letter proposes a new blind fractionally spaced equalization (FSE). The conventional linear program (LP) FSE reduces the degree of freedom (DOF) by abandoning many equalization filter taps, which causes severe performance degradations. We use singular value decomposition (SVD) to obtain the signal subspace and to fully utilize all samples for performance improvement. The proposed scheme has similar performance with the nuclear norm minimization and has as low complexity as the LP equalizer.

A New Criterion of Information Theoretic Optimization and Application to Blind Channel Equalization (새로운 정보이론적 최적기준에 의한 블라인드 등화)

  • Kim, Nam-Yong;Yang, Liuqing
    • Journal of Internet Computing and Services
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    • v.10 no.1
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    • pp.11-17
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    • 2009
  • Blind equalization techniques have been used in multipoint communication on which the research on the internet has focused. In this paper, a criterion of minimizing Euclidian Distance between two PDFs for adaptive blind equalizers has been presented. In order for ED expressed with Parzen PDFs to be minimized, we propose to use a set of randomly generated desired symbols at the receiver so that the PDF of the generated symbols matches that of the transmitted symbols. From the simulation results, the proposed method has shown superior error performance even in severe channel environments in which CMA has shown severe performance degradation. This indicates that the proposed algorithm can be considered relatively insensitive to ESR variations compared to CMA. As a field of ITL, ED minimization using Parzen PDFs has shown possibilities of being successfully applied to blind equalization.

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A Consideration on Easter Convergence and Higher Reliability of The New Blind Equalization Algorithm using The Minimum Entropy Method

  • Matsumoto, Hiroki;Kusakari, Shinya;Furukawa, Toshihiro
    • Proceedings of the IEEK Conference
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    • 2002.07c
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    • pp.1467-1470
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    • 2002
  • The minimum entropy method is one of blind equalization method. A conventional algorithm using the minimum entropy method has two problems : slower convergence and lower reliability of recovered signals. We propose a new algorithm using the minimum entropy method for solving the two problems. Pina31y, we confirm the validity of the proposed algorithm through computer simulation.

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