1999
DOI: 10.1250/ast.20.301
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Active control for periodic noise wih variable fundamental. An extended DXHS algorithm with frequency tracking ability.

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Cited by 14 publications
(10 citation statements)
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“…Theorem 1: [11] The original system of a k (t) and φ k (t) in (8) and (9) and its averaged system of a avk (t) and φ avk (t) in (14) and (15) have the same equilibrium points (a eqk , φ eqk ) in (10), which is asymptotically stable if for k = 1, 2, · · · , m…”
Section: Stability Property Of the New Dxhs Algorithmmentioning
confidence: 99%
See 1 more Smart Citation
“…Theorem 1: [11] The original system of a k (t) and φ k (t) in (8) and (9) and its averaged system of a avk (t) and φ avk (t) in (14) and (15) have the same equilibrium points (a eqk , φ eqk ) in (10), which is asymptotically stable if for k = 1, 2, · · · , m…”
Section: Stability Property Of the New Dxhs Algorithmmentioning
confidence: 99%
“…Then some new techniques have been proposed to improve FxLMS algorithms (e.g., [6], [7], [8] ). On the other hand, in order to overcome the issue of FxLMS, the delayed-x harmonics synthesiser (DXHS) algorithm has been proposed [9], [10], and DXHS algorithm also has been used widely. However, stability consideration in DXHS algorithm is still not enough because it sometimes becomes unstable due to estimation errors of the secondary path's transfer function.…”
Section: Introductionmentioning
confidence: 99%
“…The Delayed-X Harmonics Synthesizer (DXHS) algorithm is an adaptive algorithm specialized for the control of a synchronous signal [14].…”
Section: B Dxhs Algorithmmentioning
confidence: 99%
“…The algorithm for the extractor is based on the DXHS algorithm (Shimada et al, 1999), but we improve the operation performance by adding new abilities and functions; (i) improvement of readiness for frequency estimation by introduction of a variable step-size algorithm, (ii) limitation of frequency-estimation bandwidth, and (iii) judging system whether one signal is necessary or not. …”
Section: Design Of the Extractormentioning
confidence: 99%