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An Adaptive constant modulus Blind Equalization algorithm and Its Stochastic Stability Analysis

IEEE SIGNAL PROCESSING LETTERS 2010年第1期17卷 55-58页

作者： Abrar, Shafayat Nandi, Asoke K. Univ Liverpool Dept Elect Engn & Elect Liverpool L69 3GJ Merseyside England

A constant modulus algorithm is presented for blind equalization of complex-valued communication channels. The proposed algorithm is obtained by solving a novel deterministic optimization criterion which comprises the minimization of a priori as well as a posteriori dispersion error, leading to an update equation having a particular zero-memory continuous Bussgang-type non-linearity. We also derive a stochastic bound for the range of step-sizes for a generic Bussgang-type constant modulus algorithm. The theoretical result is validated through computer simulations.

关键词： Adaptive equalizer blind equalization constant modulus algorithm stochastic stability

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Block-Wise Digital Signal Processing for PolMux QAM/PSK Optical Coherent Systems

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JOURNAL OF LIGHTWAVE TECHNOLOGY 2011年第20期29卷 3070-3082页

作者： Selmi, M. Gosset, C. Noelle, M. Ciblat, P. Jaouen, Y. Telecom ParisTech Dept Commun & Elect F-75634 Paris France Heinrich Hertz Inst Nachrichtentech Berlin GmbH Fraunhofer Inst Telecommun D-10587 Berlin Germany

In polarization multiplexing based coherent optical transmission, two main kinds of impairements have to be counter-acted: 1) the inter-symbol interference generated by the chromatic dispersion and the polarization mode dispersion and 2) the frequency offset. Usually adaptive approaches are carried out to mitigate them. Since the channel is very slowly time-varying, we propose to combat these impairements by using block-wise methods. Therefore, we introduce two new algorithms: the first one is a block-wise version of blind time equalizer (such as CMA), and the second one estimates the frequency offset in block-wise way. These algorithms are suitable for PSK and QAM constellations. By simulation investigations, we show that they outperform the standard approach in terms of convergence speed only at a moderate expense of computational load. We also experimentally evaluate their performance using 8-PSK real data traces and off-line processing which takes into account other physical impairments such as phase noise and non-linear effects.

关键词： Blind equalization block processing bursty transmission constant modulus algorithm constant phase estimation decision-directed algorithm frequency offset estimation optical coherent communications optimal step-size gradient algorithm

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Variable Step-Size Multi-modulus algorithm with Quantized Error Method

Variable Step-Size Multi-Modulus Algorithm with Quantized Er...

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International Conference on Graphic and Image Processing (ICGIP)

作者： Zhou, Jun Liu, Peng Cao, Suzhi Zhang, Shancong Chinese Acad Sci Grad Univ Acad Optoelect Beijing Peoples R China Beijing Trans Univ Space Technol Co Ltd Chinese Acad Sci Acad Optoelect Beijing Peoples R China

ISBN: (纸本)9780819489326

In this paper, we propose a variable step-size multi-modulus algorithm with quantized-error method (QE-VSSMMA), which benefits from a nonlinear quantized error method as well as the variable step-size method and thus holds reduced computational complexity and improved convergence rate compared to conventional multi-modulus algorithm (MMA). Simulation shows that the new algorithm has the characteristics of faster convergence, lower implementation cost while preserves the robustness property and the phase recovery functionality of MMA. The new algorithm is suitable for resource-limited environment.

关键词： blind equalization constant modulus algorithm multi-modulus algorithm variable step-size quantized error method

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A FAMILY OF algorithmS FOR BLIND EQUALIZATION OF QAM SIGNALS

A FAMILY OF ALGORITHMS FOR BLIND EQUALIZATION OF QAM SIGNALS

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IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)

作者： Mendes Filho, Joao Silva, Magno T. M. Miranda, Maria D. Univ Sao Paulo Escola Politecn Sao Paulo Brazil

ISBN: (纸本)9781457705397

We propose blind equalization algorithms that perform similarly to supervised ones, independently of the QAM order. They converge approximately to the Wiener solution, which generally provides a relatively low misadjustment. Besides presenting strategies to speed up their convergences, we provide sufficient conditions for the stability of the symbol-based decision algorithm, which is an extension of the decision-directed algorithm. Their behaviors are illustrated through simulation results.

关键词： Blind equalization adaptive equalizers QAM constant modulus algorithm decision-directed equalizer

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Behavior of minimum output energy algorithm for digital VSB signals

Behavior of minimum output energy algorithm for digital VSB ...

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54th IEEE International Midwest Symposium on Circuits and Systems (MWSCAS)

作者： Ha, Youngsun Chung, Wonzoo Korea Univ Div Comp & Commun Engn Seoul South Korea

In this paper we show that the widely used blind adaptive minimum output energy algorithm fails to converge to the desired solutions when complex valued IIR equalization structure is used for digital VSB signals. We p... 详细信息

ISBN: (纸本)9781612848570

关键词： Minimum output energy algorithm Adaptive blind equalizer vestigial sideband VSB infinite impulse response filter constant modulus algorithm

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Combination Blind Equalization Suitable for 4-PAM and 16-QAM Signals

Combination Blind Equalization Suitable for 4-PAM and 16-QAM...

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3rd International Conference on Environmental Science and Information Application Technology (ESIAT)

作者： Rao, Wei Nanchang Inst Technol Nanchang 330099 Peoples R China

In digital communication system, De Castro et al. proposed a combination blind equalization based on a constant modulus algorithm (CMA) and a decision directed (DD) operating concurrently (CMA+DD) which is known to outperform the CMA considerably, however it still only achieves moderate steady-state mean square error (MSE). Then a new CMA based on modified function is discussed in such combination blind equalization scheme. For the 4-PAM and 16-QAM signals, by adjusting the coordinates of received signals the cost function will become exactly zero when the channel is perfectly equalized. So the proposed algorithm can obtain lower steady-state MSE than CMA+DD. Simulation results show that the proposed method achieves satisfactory performance. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of Conference ESIAT2011 Organization Committee.

关键词： blind equalization constant modulus algorithm decision directed algorithm coordinate transformation

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New Concurrent modulus algorithm and Soft Decision Directed Scheme for Blind Equalization

New Concurrent Modulus Algorithm and Soft Decision Directed ...

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3rd International Conference on Environmental Science and Information Application Technology (ESIAT)

作者： Rao, Wei Nanchang Inst Technol Nanchang 330099 Peoples R China

The constant modulus algorithm (CMA) is recognized as the most widely used algorithm in blind channel equalization practice. However, the CMA cost function exhibits local minima, which often leads to ill-convergence. This paper proposes a concurrent equalizer, in which a Soft Decision Directed (SDD) equalizer operates cooperatively with a CMA equalizer, controlled through a non-linear link that depends on the system a priory state. The simulation results show that the proposed equalizer has faster convergence rate and lower steady-state mean square error than the CMA equalizer. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of Conference ESIAT2011 Organization Committee.

关键词： constant modulus algorithm soft decision directed algorithm blind equalization

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Variable Momentum Factor Decision Feedback Blind Equalization algorithm Based on constant Parameter Error Function

Variable Momentum Factor Decision Feedback Blind Equalizatio...

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International Symposium on Information and Automation (ISIA 2010)

作者： Guo, Yecai Ji, Juanjuan Anhui Univ Sci & Technol Sch Elect & Informat Engn Huainan 232001 Peoples R China

ISBN: (纸本)9783642198526

According to disadvantages of low convergence rate, big steady-state and poor ability to track time-varying channel of traditional constant modulus blind equalization algorithm(CMA), the variable momentum factor decision feedback blind equalization algorithm based on the constant parameter error function(VMCDFECMA) is proposed by introducing the variable momentum factor into the momentum decision feedback blind equalization algorithm based on the constant parameter error function(MDFECMA). The proposed VMCDFECMA can improve convergence rate and tracking per-formance, and reduce steady-state error via making full use of the features of the decision feedback equalizer, the momentum term,and the error functions. The performance of the proposed VMCDFECMA algorithm is simulated with underwater acoustic channels.

关键词： variable momentum factor constant parameter error function decision feedback equalizer constant modulus algorithm

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Amplitude Transformation-Based Blind Equalization Part II: Suitable for High-Order QAM Signals

Amplitude Transformation-Based Blind Equalization Part II: S...

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3rd International Conference on Environmental Science and Information Application Technology (ESIAT)

作者： Rao, Wei Nanchang Inst Technol Nanchang 330099 Peoples R China

In the digital transmission system, constant modulus algorithm (CMA) is a famous blind equalization to overcome the inter-symbol interference without the aid of training sequences. But for the non-constant modulus signals such as higher-order QAM signals, the CMA just achieve moderate steady-state mean square error (MSE) which may not be sufficient for the system to obtain adequate performance. By studying the amplitude relationship between different constellations of QAM signals, a new amplitude transformation method is proposed. According to such method the non-constant modulus signals can be changed to be constant modulus, and then using it to the CMA the zero steady-state MSE can be obtained. The efficiency of the proposed method is proved by computer simulations. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of Conference ESIAT2011 Organization Committee.

关键词： blind equalization amplitude transformation constant modulus algorithm QAM

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FPGA Based High Speed Design for Blind Equalization of 8PSK Signals 4th

FPGA Based High Speed Design for Blind Equalization of 8PSK ...

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4th IET International Conference on Wireless, Mobile and Multimedia Networks (ICWMMN)

作者： Jiang Bo Li Quanna Xu Tao Liu Cuihai Wen Dong Navy Submarine Acad Dept Nav & Commun Qingdao Peoples R China

ISBN: (纸本)9781849195072

A high speed structure for blind equalization of 8PSK signals is presented based on FPGA. The filter section is designed with a parallel structure based on time-domain convolution. In the case of short delay spread, this structure is superior to the parallel structure based on sub-convolution filter bank in literature on computational complexity. Applying this structure to the blind equalization of 800Mbps 8PSK signals, test results show that the speed requirement is met, the hardware resources are furthest saved, and the blind equalizer converges fast.

关键词： adaptive filtering constant modulus algorithm sub-convolution filter bank blind equalization

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