Robust Adaptive Modified Newton Algorithm for Generalized Eigendecomposition and Its Application

Yang, Jian; Yang, Feng; Xi, Hongsheng; Guo, Wenbin; Sheng, Yue

doi:10.1155/2007/38341

Cited by 11 publications

(26 citation statements)

References 20 publications

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“…Hence, the factor 1/2 in (9) is included to ensure the validity of (8). This completes the proof of Lemma 1.…”

Section: Multiple-symbol Differential Spatial Division Multiple mentioning

confidence: 53%

“…3) Adaptive Implementation of MS-DIS: In practice, rather than carrying out the high-complexity SVD to solve the generalized eigenvalue problem of (7), we apply the modified adaptive Newton algorithm of [8] to recursively update the DIS filter f v [k N ]. This modified adaptive Newton algorithm, which was shown in [8] to have a fast convergence and an excellent tracking capability 1 , may be summarized based on (14) and (15) as follows:…”

Section: Multiple-symbol Differential Spatial Division Multiple mentioning

confidence: 99%

“…This modified adaptive Newton algorithm, which was shown in [8] to have a fast convergence and an excellent tracking capability 1 , may be summarized based on (14) and (15) as follows:…”

Section: Multiple-symbol Differential Spatial Division Multiple mentioning

confidence: 99%

See 2 more Smart Citations

Differential Interference Suppression for SDMA-OFDM Based on Joint Multiple-Symbol Filtering and Detection

Wang

Hanzo

2011

IEEE Trans. Veh. Technol.

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Abstract-This paper presents a multiple-symbol differential spatial division multiple access (MS-DSDMA) OFDM system conceived for low-complexity and high-bandwidth-efficiency applications operating in time-varying fading channels, where no channel estimation is required. A low-complexity adaptive multiple-symbol differential interference suppression (MS-DIS) scheme is proposed, which is based on the maximum signalto-interference-plus-noise ratio (MSINR) criterion and facilitates the implementation of the powerful multiple-symbol differential sphere detection (MSDSD). Then, a practical three-stage turbo DIS receiver design framework is proposed for the MS-DSDMA system, which is constituted by concatenating the adaptive DIS filter bank, the MSDSD and the channel decoder. Both the EXtrinsic Information Transfer (EXIT) chart analysis and the Monte-Carlo-based simulation results show that the proposed three-stage turbo DIS scheme is capable of achieving a substantially enhanced performance in comparison to the conventional linear minimum mean-squared error (LMMSE) based adaptive receiver. Furthermore, two complexity reduction techniques are devised to significantly reduce the iterative detection complexity.

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“…Hence, the factor 1/2 in (9) is included to ensure the validity of (8). This completes the proof of Lemma 1.…”

Section: Multiple-symbol Differential Spatial Division Multiple mentioning

confidence: 53%

Section: Multiple-symbol Differential Spatial Division Multiple mentioning

confidence: 99%

See 1 more Smart Citation

Differential Interference Suppression for SDMA-OFDM Based on Joint Multiple-Symbol Filtering and Detection

Wang

Hanzo

2011

IEEE Trans. Veh. Technol.

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show abstract

“…In practice, rather than carrying out the high-complexity SVD to solve the generalized eigenvalue problem of (8), we apply the modified adaptive Newton algorithm of [8] to recursively update the DIS filter fv[kN ]. This modified adaptive Newton algorithm, which was shown in [8] to have a fast convergence and an excellent tracking capability, may be summarized based on (11) and (12) as follows:…”

Section: ) Adaptive Implementation Of Ms-dismentioning

confidence: 99%

“…This modified adaptive Newton algorithm, which was shown in [8] to have a fast convergence and an excellent tracking capability, may be summarized based on (11) and (12) as follows:…”

Section: ) Adaptive Implementation Of Ms-dismentioning

confidence: 99%

Multiple-Symbol Detection Aided Differential Spatial Division Multiple Access

Wang

Hanzo

2011

2011 IEEE International Conference on Communications (ICC)

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Abstract-This paper presents a multiple-symbol differential spatial division multiple access (MS-DSDMA) system conceived for lowcomplexity and high-bandwidth-efficiency applications operating in timevarying fading channels, where no channel estimation is required. A low-complexity adaptive multiple-symbol differential interference suppression (MS-DIS) scheme is proposed, which is based on the maximum signal-to-interference-plus-noise ratio (MSINR) criterion and facilitates the implementation of the powerful multiple-symbol differential sphere detection (MSDSD). Then, a practical three-stage turbo DIS receiver design framework is proposed for the MS-DSDMA system, which is constituted by concatenating the adaptive DIS filter bank, the MSDSD and the channel decoder. Both the EXtrinsic Information Transfer (EXIT) chart analysis and the Monte-Carlo-based simulation results show that the proposed three-stage turbo DIS scheme is capable of achieving a substantially enhanced performance in comparison to the conventional linear minimum mean-squared error (LMMSE) based adaptive receiver. Furthermore, for the sake of significantly reducing the iterative detection complexity, two complexity reduction techniques are devised, namely the a priori-LLR-threshold (ALT) and the adaptive-window-duration (AWD) aided MSDSD schemes.

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Fast Adaptive Extraction Algorithm for Multiple Principal Generalized Eigenvectors

Yang

Chen

2012

Int. J. Intell. Syst.

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We consider adaptively extracting multiple principal generalized eigenvectors, which can be widely applied in modern signal processing. By using the deflation technique, the problem is reformulated into an unconstrained minimization problem. An adaptive sequential algorithm based on the Newton method is proposed to solve this problem. To improve its real‐time performance, a parallel version of this algorithm is provided on the basis of certain approximation. Furthermore, a two‐layer neural network is constructed to execute the adaptive algorithm. The asymptotic convergence of this algorithm is rigorously proved by stochastic approximation theory. The simulation results demonstrate the effectiveness of the proposed algorithms.

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Robust Adaptive Modified Newton Algorithm for Generalized Eigendecomposition and Its Application

Cited by 11 publications

References 20 publications

Differential Interference Suppression for SDMA-OFDM Based on Joint Multiple-Symbol Filtering and Detection

Differential Interference Suppression for SDMA-OFDM Based on Joint Multiple-Symbol Filtering and Detection

Multiple-Symbol Detection Aided Differential Spatial Division Multiple Access

Fast Adaptive Extraction Algorithm for Multiple Principal Generalized Eigenvectors

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