• Title/Summary/Keyword: Bussgang algorithm

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Spectrum Sensing using Bussgang Theorem for BEE 802.22 WRAN (IEEE 802.22 WRAN에서 Bussgang 정리를 이용한 스펙트럼 센싱)

  • Hwang, Sung-Sue;Kim, Suk-Chan
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.9C
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    • pp.922-927
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    • 2009
  • Utilization problem of the limited spectrum is the one of the most important issues in wireless communication systems. Cognitive radio technique which is finding and utilizing frequency holes is also one of those techniques. Specially, the spectrum sensing technique to detect the primary user signal is a core technology in cognitive radio area. In this paper, we propose the spectrum sensing algorithm using Bussgang theorem. The proposed algorithm calculates the statistical difference between the Gaussian noise and the primary user signal by applying Bussgang theorem to the received signal. The algorithm is not affected by noise uncertainty and can detect the primary user signal in the very low SNR environment. We evaluate the algorithm through computer simulations with 12 ATSC A/74 DTV signal captures based on IEEE 802.22 WRAN and formulate the sensing threshold for the proposed scheme.

A Study on Performance Comparison of Bussgang-type Adaptive Blind Algorithms (Bussgang계열의 적응 Blind 알고리듬들의 성능비교에 관한 연구)

  • Kim, Hyoung-Seok;Kang, Hyun-Cheol;Byun, Youn-Shik
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.5
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    • pp.20-28
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    • 1995
  • This paper studied adaptive blind equalizer which belong to Bussgang type. It is well known that blind equalizer performs equalization without using a training sequence. Especially, this paper concentrated on real time processing of them. The channel characteristic was obtained from measurements taken in a real urban multipath environment. A T/2 fractionally-spaced equalizer was used at the receiving end. Our computer simulations demonstrated that Stop and Go, Benveniste-Goursat, and optimal Bussgang algorithms have relatively low MSE property. CMA shows faster convergence property than any other of Bussgang type algorithm.

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A New Bussgang Blind Equalization Algorithm with Reduced Computational Complexity (계산 복잡도가 줄어든 새로운 Bussgang 자력 등화 알고리듬)

  • Kim, Seong-Min;Kim, Whan-Woo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.10
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    • pp.1012-1015
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    • 2011
  • The decision-directed blind equalization algorithm is often used due to its simplicity and good convergence property when the eye pattern is open. However, in a channel where the eye pattern is closed, the decision-directed algorithm is not guaranteed to converge. Hence, a modified Bussgang-type algorithm using a hyperbolic tangent function for zero-memory nonlinear(ZNL) function has been proposed and applied to avoid this problem by Filho et al. But application of this algorithm includes the calculation of hyperbolic tangent function and its derivative or a look-up table which may need a large amount of memory due to channel variations. To reduce the computational and/or hardware complexity of Filho's algorithm, in this paper, an improved method for the decision-directed algorithm is proposed. In the proposed scheme, the ZNL function and its derivative are respectively set to be the original signum function and a narrow rectangular pulse which is an approximation of Dirac delta function. It is shown that the proposed scheme, when it is combined with decision-directed algorithm, reduces the computational complexity drastically while it retains the convergence and steady-state performance of the Filho's algorithm.

Bussgang Blind Equalization Using Nonlinear Estimators with Reduced Computational Complexity (계산 복잡성이 단순화된 비선형 추정기를 사용한 Bussgang 블라인드 등화)

  • Oh, Kil-Nam
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.42 no.6
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    • pp.177-186
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    • 2005
  • This paper introduces nonlinear estimators with reduced complexity, and proposes the Bussgang blind equalization algorithm employing the nonlinear estimators. The proposed algorithm utilized the facts that the Bayesian estimator is well approximated to the sigmoid estimator in initial stage of equalization with closed eye and is well approximated to the threshold estimator under open eye condition. The proposed method adopts selectively one of the two nonlinear estimators, i.e., the sigmoid estimator and the threshold estimator, according to channel distortion level at each iteration. As a result, by using the sigmoid estimator with reduced constellation, the proposed scheme, as it is applied to blind equalization of high-order QAM signals, simplifies the computational complexity extremely, and enhances the blind convergence capability and steady-state performance.

A BUSSGANG-TYPE ALGORITHM FOR BLIND SIGNAL SEPARATION

  • Choi, Seung-Jin;Lyu, Young-Ki
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.1191-1194
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    • 1998
  • This paper presents a new computationally efficient adaptive algorithm for blind signal separation, which is able to recover the narrowband source signals in the presence of cochannel interference without a prior knowledge of array manifold. We derive a new blind signal separation algorithm using the Natural gradient 〔1〕from an information-theoretic approach. The resulting algorithm has the Bussgang property which has been widely used in blind equalization 〔12〕. Extensive computer simulation results comfirm the validity and high performance of the proposed algorithm.

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A Study on The Adaptive Equalizer Using High Order Statistics in Multipath Fading Channel (다중 경로 페이딩 채널에서 고차 통계치를 이용한 적응 등화기에 관한 연구)

  • Lim, Seung-Gag
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.10
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    • pp.2562-2570
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    • 1997
  • This paper deals with the design and performance of the adaptive equalizer using high order statistics in order to improve the transmission characteristics of multipath fading channel. The multipath propagational phenomenon occurred in digital radio transmission causes the distortion and ISI of receiving signal. These are main reasons to increase the bit error rate and degrade the performance of receivers. In this paper, the adaptive equalization algorithm using high order statistics of received signal is used instead of CMA algorithm, Bussgang and Godard which are known widely. The performance of this algorithm (residualisi, recovered constellation, calculation) is presented varing SNR. As the result of the computer simulation, equalizer algorithm using high order statistics is better than CMA in the range of low SNR, $10{\sim}20dB$. Therefore, considering the actual communication systems which use the range of $14{\sim}20$ SNR, the adaptive equalizer using high order statistics can be used in the real multipath fading environment.

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자력복구 적응 채널등화기를 위한 Run and Go 알고리즘 (Run and Go Algorithm for Blind Equalization)

  • Chung, Won-Zoo
    • Journal of IKEEE
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    • v.10 no.1 s.18
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    • pp.62-68
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    • 2006
  • In this paper, we propose an adaptation strategy for blind equalizers, which combines a blind algorithm based on high order statistics and the decision directed LMS algorithm. In contrast to 'Stop-and-Go' algorithm, where adaptation is stopped for unreliable signals, the proposed algorithm applies high order statistics (HOS) blind algorithm to the unreliable signals and applies DD-LMS for the reliable signals. The proposed algorithm, named 'Run-and-Go' algorithm, inherits minimum MSE performance of DD-LMS and acquisition ability of blind algorithms. Furthermore, by updating the reliable signal region according to signal quality in each iteration, the convergence speed and acquisition ability is further improved.

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A Study on Least Mean Fourth (LMF) and Least Mean Squares-Fourth (LMSF) Blind Equalization Algorithm (최소평균 사제곱 (LMF) 및 최소평균 제곱과 사제곱을 혼합한 형태 (LMSF)의 블라인드 등화 알고리즘에 관한 연구)

  • Yoon, Tae-Sung;Byun, Youn-Shik
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.3
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    • pp.38-44
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    • 1997
  • In this study, wer derived LMF-Sato, LMSF-Sato complex blind equalization algorithms for complex data. And then, the convergence rates, the convergence characteristics at the steady state and the stability of the proposed LMF and LMSF blind equalization algorithms are compared with those of LMS-Sato blind equalization algorithm. In simulations with 16-QAM data, LMF-Sato and LMSF-Sato algorithms showed better performance comparing with LMS-Sato algorithm generally. When the initial estimation errors of the weights of the equalizer are large, LMF-Sato algorithm showed ill characteristic in stability. However, LMSF-Sato algorithm has good covergence characteristics and preserves robustness.

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Convergence Property Analysis of Multiple Modulus Self-Recovering Equalization According to Error Dynamics Boosting (다중 모듈러스 자기복원 등화의 오차 역동성 증강에 따른 수렴 특성 분석)

  • Oh, Kil Nam
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.1
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    • pp.15-20
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    • 2016
  • The existing multiple modulus-based self-recovering equalization type has not been applied to initial equalization. Instead, it was used for steady-state performance improvement. In this paper, for the self-recovering equalization type that considers the multiple modulus as a desired response, the initial convergence performance was improved by extending the dynamics of the errors using error boosting and their characteristics were analyzed. Error boosting in the proposed method was carried out in proportion to a symbol decision for the equalizer output. Furthermore, having the initial convergence capability by extending the dynamics of errors, it showed excellent performance in the initial convergence rate and steady-state error level. In particular, the proposed method can be applied to the entire process of equalization through a single algorithm; the existing methods of switching over or the selection of other operation modes, such as concurrent operating with other algorithms, are not necessary. The usefulness of the proposed method was verified by simulations performed under the channel conditions with multipath propagation and additional noise, and for performance analysis of self-recovering equalization for high-order signal constellations.