1997
DOI: 10.1109/89.593309
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Frequency-domain periodic active noise control and equalization

Abstract: This paper analyzes a frequency-domain periodic active noise control (ANC) system. The adaptive filter employs the frequency domain complex least mean square (LMS) algorithm driven by a unit value at each frequency bin. The synchronously sampled frequency-domain adaptive structure acts as a comb filter to cancel narrowband noises with harmonically related frequencies. A frequency-domain periodic active noise equalization (ANE) system, which reshapes the residual noise by controlling the output of the adaptive … Show more

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Cited by 34 publications
(18 citation statements)
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“…From (1) and (5), the z-transform of the new cancellation error signal is (7) When and are small enough, a simple insight into (7) is that the cancellation error is close to zero, i.e., , after the adaptive filter converges. Hence, we can see that is to realize the following transfer function: (8) In some circumstances, the decay envelops of the impulse responses of and are presented on both sides of the maximum output response. For example, has an unsymmetric decay envelop for propagation delay while consists of a lowpass filter of symmetric coefficients for a linear-phase consideration.…”
Section: A the New Fxlms Algorithmmentioning
confidence: 99%
See 1 more Smart Citation
“…From (1) and (5), the z-transform of the new cancellation error signal is (7) When and are small enough, a simple insight into (7) is that the cancellation error is close to zero, i.e., , after the adaptive filter converges. Hence, we can see that is to realize the following transfer function: (8) In some circumstances, the decay envelops of the impulse responses of and are presented on both sides of the maximum output response. For example, has an unsymmetric decay envelop for propagation delay while consists of a lowpass filter of symmetric coefficients for a linear-phase consideration.…”
Section: A the New Fxlms Algorithmmentioning
confidence: 99%
“…Although some adaptive algorithms such as the filtered-X recursive least-squares (FxRLS) [5] and Kalman filter [6] can provide better convergence rate and performance, the FxLMS algorithm is very appealing to researchers because of a relatively lower computational burden. Some variants of the FxLMS algorithms for ANC can be found in the literature, such as the lattice ANC [7], frequency-domain ANC [8], [9], delayless subband ANC [10], [11], etc. The lattice structure filter fails to provide a satisfying convergence rate when the primary noise is broadband.…”
Section: Introductionmentioning
confidence: 99%
“…The frequency domain FXLMS algorithm was developed to reduce the computational complexity [10][11][12][13][14]. One major disad vantage of such frequency domain algorithm is the delay that is introduced into the signal filtering path, due to the buffering pro cess converting signal samples into signal vectors.…”
Section: Introductionmentioning
confidence: 99%
“…The gradient algorithm has also less computational complexity over the non-gradient algorithms. Another way of having active noise cancellation is to employ adaptive filter to characterize the transfer function between error mic to control noise in frequency domain and it is described in the [25]. The least mean square (LMS) algorithm was applied in each band of frequency decomposition using DFT to model the control signal.…”
Section: Active Noise Cancellationmentioning
confidence: 99%