An optimal variable step-size affine projection algorithm for the modified filtered-x active noise control

Song, Ju-man; Park, PooGyeon

doi:10.1016/j.sigpro.2015.02.005

Cited by 21 publications

(16 citation statements)

References 18 publications

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“…When the evolutionary method is applied to the algorithm, the use of high projection orders is not required throughout the entire process; therefore, the average complexity of the algorithm is reduced. Table 1 A few multiplications are added to the computational complexity of the FXECAP-L algorithm because it uses the thresholds described in (21). The proposed algorithm requires 3 additional multiplications and 2 additions in each iteration to determine the projection order.…”

Section: Evolutionarymentioning

confidence: 99%

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Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order

Avalos

Aguilar

Martínez

et al. 2017

Shock and Vibration

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Affine projection (AP) algorithms are commonly used to implement active noise control (ANC) systems because they provide fast convergence. However, their high computational complexity can restrict their use in certain practical applications. The Error Coded Affine Projection-Like (ECAP-L) algorithm has been proposed to reduce the computational burden while maintaining the speed of AP, but no version of this algorithm has been derived for active noise control, for which the adaptive structures are very different from those of other configurations. In this paper, we introduce a version of the ECAP-L for single-channel and multichannel ANC systems. The proposed algorithm is implemented using the conventional filtered-x scheme, which incurs a lower computational cost than the modified filtered-x structure, especially for multichannel systems. Furthermore, we present an evolutionary method that dynamically decreases the projection order in order to reduce the dimensions of the matrix used in the algorithm's computations. Experimental results demonstrate that the proposed algorithm yields a convergence speed and a final residual error similar to those of AP algorithms. Moreover, it achieves meaningful computational savings, leading to simpler hardware implementation of real-time ANC applications.

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Section: Evolutionarymentioning

confidence: 99%

“…Such modifications result in better final errors in the steady state, but the computational cost remains the same; furthermore, most of these proposals are intended for acoustic echo canceler applications [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order

Avalos

Aguilar

Martínez

et al. 2017

Shock and Vibration

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show abstract

“…correlated inputs [7]. The filtered-input affine projection (FxAP) algorithm has been proposed to handle the difficulty with correlated inputs [8]- [10]. This algorithm shows better performance for correlated inputs, but its computational complexity is too high for implementation in an ANC system.…”

Section: Introductionmentioning

confidence: 99%

Recursive Least-Squares Lattice Algorithm Combined With Secondary-Path Innovation and Lattice-Order Decision Algorithms for Active Noise Control

Kim

Park

2020

IEEE Access

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This paper proposes a new active noise control (ANC) system based on a recursive least-squares lattice (RLSL) algorithm by designing secondary-path innovation (SPI) and lattice-order decision (LOD) algorithms. The SPI algorithm associated with the power spectral factorization of the secondary path is designed to apply the RLSL algorithm to the ANC system without the filtered-input structure. The SPI algorithm whitens the error microphone signals into the virtual error signals just ahead of the secondary path to construct the virtual desired signals corresponding to the outputs of the lattice filter. The LOD algorithm is designed to operate the ANC system without knowing the tap length of the optimal finite impulse response (FIR) filter. The decision algorithm using the initial and final estimation errors of the lattice filter estimates the tap length of the optimal FIR filter by increasing the lattice order one-by-one until the final estimation error reaches below a threshold value. Even in environments where the tap length of the optimal FIR filter is unknown, the proposed ANC system with low computational complexity shows almost the same performance as the ANC system based on a filtered-input recursive least squares algorithm.

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“…Some authors have proposed techniques to minimize the computational complexity of the AP algorithms applied to ANC systems [4,5]. However, many of them have some restrictions rendering their use unfeasible in practical applications.…”

Section: Introductionmentioning

confidence: 99%

A Time-Efficient Method for Determining an Optimal Scaling Factor and the Encoder Resolution in the Multichannel FXECAP-L Algorithm with Evolving Order for Active Noise Control

Vázquez¹,

Maya²,

Avalos³

et al. 2019

Applied Sciences

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Affine projection (AP) algorithms have demonstrated faster convergence speed than conventional least mean square (LMS) algorithms, thus providing an attractive solution in the active noise control (ANC) field. However, the AP algorithms demand high computational cost, restricting their practical use in real-time ANC applications. Recently, a multichannel filtered-x error-coded affine projection-like (FXECAP-L) algorithm with evolving order has been proposed to reduce the computational burden by maintaining the convergence speed of AP algorithms. In order to obtain an efficient and robust FXECAP-L algorithm with evolving order, the scaling factor and encoder resolution need to be adjusted manually, which is a time-consuming and costly effort that must be carried out by expert designers. To reduce these costs and efforts, we introduce, for the first time, a strategy for automatic adjustment of the scaling factor and encoder resolution that benefits the rapid development of practical ANC applications. To demonstrate its practical use, we applied the proposed strategy for controlling the noise in an acoustic duct. The practical results demonstrate the automatic adjustment of the FXECAP-L algorithm which maintains high convergence speed at the expense of a small compromise in terms of processing time.

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An optimal variable step-size affine projection algorithm for the modified filtered-x active noise control

Cited by 21 publications

References 18 publications

Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order

Multichannel Filtered-X Error Coded Affine Projection-Like Algorithm with Evolving Order

Recursive Least-Squares Lattice Algorithm Combined With Secondary-Path Innovation and Lattice-Order Decision Algorithms for Active Noise Control

A Time-Efficient Method for Determining an Optimal Scaling Factor and the Encoder Resolution in the Multichannel FXECAP-L Algorithm with Evolving Order for Active Noise Control

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