Eigenvalue equalization filtered-x algorithm for the multichannel active noise control of stationary and nonstationary signals

Thomas, Jared J.; Lovstedt, Stephan P.; Blotter, Jonathan D.; Sommerfeldt, Scott D.

doi:10.1121/1.2903857

Cited by 23 publications

(17 citation statements)

References 16 publications

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“…Due to the involvement of digital signal processing, the performance of ANC can be improved [6,7]. The filtered error structure is exhibited to reduce the non-linear ANC with the linear secondary path.…”

Section: Introductionmentioning

confidence: 99%

Active Noise Control Using Modified FsLMS and Hybrid PSOFF Algorithm

Walia

Ghosh

2018

Applied Sciences

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Active noise control is an efficient technique for noise cancellation of the system, which has been defined in this paper with the aid of Modified Filtered-s Least Mean Square (MFsLMS) algorithm. The Hybrid Particle Swarm Optimization and Firefly (HPSOFF) algorithm are used to identify the stability factor of the MFsLMS algorithm. The computational difficulty of the modified algorithm is reduced when compared with the original Filtered-s Least Mean Square (FsLMS) algorithm. The noise sources are removed from the signal and it is compared with the existing FsLMS algorithm. The performance of the system is established with the normalized mean square error for two different types of noises. The proposed method has also been compared with the existing algorithms for the same purposes.

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Section: Introductionmentioning

confidence: 99%

Active Noise Control Using Modified FsLMS and Hybrid PSOFF Algorithm

Walia

Ghosh

2018

Applied Sciences

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“…These modifications to H(z) make a noticeable improvement in the performance of the algorithm [8]. The more uniform rate of convergence of all modes of the system is beneficial as it speeds up the overall convergence of the error signal.…”

Section: Eigenvalue Equalization Applied To Swept Tone Noisementioning

confidence: 99%

“…For swept tone noise, it has been shown that flattening the magnitude coefficients of H(z), while preserving the phase reduces the variance in the eigenvalues [8]. These modifications to H(z) make a noticeable improvement in the performance of the algorithm [8].…”

Section: Eigenvalue Equalization Applied To Swept Tone Noisementioning

confidence: 99%

“…For multiple tones, the trend of the magnitude coefficients was made to be the inverse trend of the amplitudes of the tones in the reference signal. For both cases, this led to more uniform eigenvalues (of the filteredx autocorrelation matrix), faster convergence times, and additional attenuation at the error sensor [8].…”

Section: Advances In Acoustics and Vibrationmentioning

confidence: 99%

“…Prior research by the authors proposed the eigenvalue equalization filtered-x least mean squares (EE-FXLMS) algorithm [8]. This algorithm improves performance without increasing the computational burden or complexity of the algorithm.…”

Section: Advances In Acoustics and Vibrationmentioning

confidence: 99%

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Genetic Algorithm Applied to the Eigenvalue Equalization Filtered‐x LMS Algorithm (EE‐FXLMS)

Lovstedt

Thomas

Sommerfeldt

et al. 2008

Advances in Acoustics and Vibration

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The FXLMS algorithm, used extensively in active noise control (ANC), exhibits frequency-dependent convergence behavior. This leads to degraded performance for time-varying tonal noise and noise with multiple stationary tones. Previous work by the authors proposed the eigenvalue equalization filtered-x least mean squares (EE-FXLMS) algorithm. For that algorithm, magnitude coefficients of the secondary path transfer function are modified to decrease variation in the eigenvalues of the filtered-x autocorrelation matrix, while preserving the phase, giving faster convergence and increasing overall attenuation. This paper revisits the EE-FXLMS algorithm, using a genetic algorithm to find magnitude coefficients that give the least variation in eigenvalues. This method overcomes some of the problems with implementing the EE-FXLMS algorithm arising from finite resolution of sampled systems. Experimental control results using the original secondary path model, and a modified secondary path model for both the previous implementation of EE-FXLMS and the genetic algorithm implementation are compared.

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A Subband Adaptive Filtering for Distributed Active Noise Control Systems

Lei

Chen

2021

IEEJ Transactions Elec Engng

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This study proposes an extension of the subband adaptive filtering technique to distributed active noise control systems and the details of the algorithm are presented. The computational requirements and convergence performance are examined for a network with a ring topology without constraints in communication. The proposed algorithm divides the signal of each node into several subbands to reduce the dynamic range of the spectrum and consequently accelerate the convergence speed. Since the subband decomposition contains a decimation process, the computational complexity is reduced as the number of subbands is increased. Simulations are conducted to compare different algorithms and an 8‐node network is studied in terms of noise reduction performance. The results demonstrate the efficacy of the proposed algorithm for broadband active noise control and the convergence speed could be improved compared to the distributed multiple error filtered‐x (DMEFxLMS) algorithm. © 2021 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

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Eigenvalue equalization filtered-x algorithm for the multichannel active noise control of stationary and nonstationary signals

Cited by 23 publications

References 16 publications

Active Noise Control Using Modified FsLMS and Hybrid PSOFF Algorithm

Active Noise Control Using Modified FsLMS and Hybrid PSOFF Algorithm

Genetic Algorithm Applied to the Eigenvalue Equalization Filtered‐x LMS Algorithm (EE‐FXLMS)

A Subband Adaptive Filtering for Distributed Active Noise Control Systems

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