A Unified Approach to the Statistical Convergence Analysis of Frequency-Domain Adaptive Filters

Yang, Feiran; Enzner, Gerald; Yang, Jun

doi:10.1109/tsp.2019.2896133

Cited by 23 publications

(7 citation statements)

References 34 publications

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“…Proof. Substituting (11) into RHS of ( 21) and taking the expectation from both of its sides, using (22) and Assumption 4, we get…”

Section: Performance Analysis Using the Energy Conservation Argumentmentioning

confidence: 99%

“…For the sake of obtaining the error-vector correlation matrix, we need to evaluate the cross correlation between the tap-weight error vector and 𝝔(n). Therefore, using (22) and Proposition 1, we can expand B 1 (n), B 2 (n) and B 3 (n) as following. 3…”

Section: 11mentioning

confidence: 99%

“…For the sake of arriving to relation (23), we shall calculate the first and second terms of LHS of (A.3). Therefore, by taking the squared norm and expectation from both sides of (22), we obtain…”

Section: Conflict Of Interestmentioning

confidence: 99%

“…Moreover, two models for channel nonstationarities are used: random-walk model and both cyclic and random system nonstationarities model. At first, our analysis is based on energy conservation arguments which does not stint the regressors to have special models or distributions [6,9,11,[21][22][23][24]. Then without using strong assumptions like small or large step-size, we calculate the mean-square weight error for two mentioned models of channel nonstationarities.…”

Section: Introductionmentioning

confidence: 99%

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Performance analysis of the low‐complexity adaptive channel estimation algorithms over non‐stationary multipath Rayleigh fading channels under carrier frequency offsets

2022

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The use of selective partial updating method for reducing computational complexity of adaptive algorithms has been proposed recently. However, its performance analysis has not been studied as extensively and exactly as LMS or RLS algorithms for time-varying channel estimation. This paper provides performance analysis of the low-complexity family of affine projection algorithms based on selective partial update method on the estimation of multipath Rayleigh fading channels in the presence of carrier frequency offsets (CFO) and random channel variations. The analysis is based on the calculation of the error correlation matrix of the estimation, the mean-square weight error (MSWE) and the meansquare estimation error (MSE) parameters. The analysis does not use strong assumptions like small or large step-size, and explicit closed-form expressions for the MSE of estimation are obtained only from common hypotheses in wireless communication context. In this paper, the optimum step-size parameters minimizing the MSE of estimation are analytically derived without any simplifying assumptions. For the sake of comparison with other analytical approaches, the performance of the introduced algorithms is also investigated using the energy conservation relation. Likewise, for exact performance analysis, all the moment terms that appear in closed form expressions for the MSE of estimation are evaluated. Simulations are conduced to corroborate the presented studies and show that the theoretical results agree well with the simulation results over non-stationary multipath Rayleigh fading channels.

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“…Proof. Substituting (11) into RHS of ( 21) and taking the expectation from both of its sides, using (22) and Assumption 4, we get…”

Section: Performance Analysis Using the Energy Conservation Argumentmentioning

confidence: 99%

Section: 11mentioning

confidence: 99%

Section: Conflict Of Interestmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Performance analysis of the low‐complexity adaptive channel estimation algorithms over non‐stationary multipath Rayleigh fading channels under carrier frequency offsets

2022

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“…Time domain convolution and correlation operations can be realized by the fast Fourier transform (FFT) [52], thereby decreasing the complexity of adaptive algorithms. Hence, several frequency domain filtering algorithms were developed, and a unified framework was constructed to analyze the convergence behaviors of linear adaptive filters in frequency domain [53,54]. Due to their computational advantage, frequency domain adaptive filtering has been applied in linear noise suppressing systems [55,56,57].…”

Section: Introductionmentioning

confidence: 99%

Study of Frequency domain exponential functional link network filters

Yu¹,

Tana²,

Lamareb³

et al. 2022

Preprint

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The exponential functional link network (EFLN) filter has attracted tremendous interest due to its enhanced nonlinear modeling capability. However, the computational complexity will dramatically increase with the dimension growth of the EFLN-based filter. To improve the computational efficiency, we propose a novel frequency domain exponential functional link network (FDEFLN) filter in this paper. The idea is to organize the samples in blocks of expanded input data, transform them from time domain to frequency domain, and thus execute the filtering and adaptation procedures in frequency domain with the overlap-save method. A FDEFLN-based nonlinear active noise control (NANC) system has also been developed to form the frequency domain exponential filtered-s least mean-square (FDEFsLMS) algorithm. Moreover, the stability, steady-state performance and computational complexity of algorithms are analyzed. Finally, several numerical experiments corroborate the proposed FDEFLN-based algorithms in nonlinear system identification, acoustic echo cancellation and NANC implementations, which demonstrate much better computational efficiency.

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New Insights into Convergence Theory of Constrained Frequency-Domain Adaptive Filters

Yang

Enzner

Yang

2020

Circuits Syst Signal Process

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A Unified Approach to the Statistical Convergence Analysis of Frequency-Domain Adaptive Filters

Cited by 23 publications

References 34 publications

Performance analysis of the low‐complexity adaptive channel estimation algorithms over non‐stationary multipath Rayleigh fading channels under carrier frequency offsets

Performance analysis of the low‐complexity adaptive channel estimation algorithms over non‐stationary multipath Rayleigh fading channels under carrier frequency offsets

Study of Frequency domain exponential functional link network filters

New Insights into Convergence Theory of Constrained Frequency-Domain Adaptive Filters

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