A Filtered-X LMS Algorithm for Sinusoidal Reference Signals—Effects of Frequency Mismatch

Hinamoto, Yoichi; Sakai, Hideaki

doi:10.1109/lsp.2006.884901

Cited by 35 publications

(8 citation statements)

References 8 publications

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“…Owing to this fact, analytical results based on the independence assumption cannot precisely and generally explain experimental results [4], [8]. In addition, analyses of cases where the step size is small [9], [10], [11], [12] and the periodic signal is assumed [13], [14], [15] have been reported.…”

Section: Introductionmentioning

confidence: 99%

Statistical-mechanical analysis of the FXLMS algorithm with time-varying primary path

Egawa

Kajikawa

Miyoshi

2014

Signal and Information Processing Association Annual Summit and Conference (APSIPA), 2014 Asia-Pacific

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We analyze the learning curves of the active noise control with a time-varying primary path using a statisticalmechanical method. The cross-correlation between the element of a primary path and that of the adaptive filter and the autocorrelations of the elements of the adaptive filter are treated as macroscopic variables. We obtain simultaneous differential equations that describe the dynamical behaviors of the macroscopic variables under the condition that the tapped-delay line is sufficiently long. We analyze the case where the primary path has the Markovian property. As a result, we show that an optimal step size exists.

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Section: Introductionmentioning

confidence: 99%

Statistical-mechanical analysis of the FXLMS algorithm with time-varying primary path

Egawa

Kajikawa

Miyoshi

2014

Signal and Information Processing Association Annual Summit and Conference (APSIPA), 2014 Asia-Pacific

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“…Sakai and Hinamoto (2005) analysed the LMS algorithm with tonal reference signals based on the adaptive noise control system. The equivalent transfer function technique (Glover Jr, 1977) was also used for the investigation of FM effects for FXLMS algorithm with sinusoidal reference signals (Hinamoto and Sakai, 2007).…”

Section: Frequency Mismatchmentioning

confidence: 99%

“…It was the first attempt to consider the overall effects for the active periodic noise cancellation. Before their work, many papers (Hinamoto and Sakai, 2007) considered FM for an ANC system with the ideal secondary-path transfer function and also considered convergence analysis without considering FM effect .…”

Section: Frequency Mismatchmentioning

confidence: 99%

Active control of pressure pulsation in a switched inertance hydraulic system

Pan

Johnston

Hillis

2013

Proceedings of the Institution of Mechanical Engineers, Part I:

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The nature of digital hydraulic systems may cause pressure pulsation problems. For example, switched inertance hydraulic systems (SIHS), which are applied to adjust or control flow and pressure by a means that does not rely on dissipation of power, have noise problems due to the pulsed nature of the flow. An effective method to reduce the pulsation is important to improve system performance and increase efficiency. Although passive systems to reduce the noise have been shown to be effective in many situations, their attenuation frequency range is limited and they may be bulky. Furthermore, attenuation devices based on expansion chambers, accumulators or hoses are likely to be unsuitable for SIHS as they add compliance to the system and would impair the dynamic response. This thesis is concerned with issues relating to the development of an active noise canceller for attenuating the pressure pulsation which is caused primarily by pulsed flow from high-speed valves in SIHS.Active control methods are widely and successfully applied in the area of structureborne noise (SBN) and air-borne noise (ABN) cancellation. The idea is using the intentional superposition of waves to create a destructive interference pattern such that a reduction of the unwanted noise occurs. However, applications for fluid-borne noise (FBN) attenuation based on the 'Active noise control (ANC) principle' are rare due to the restriction of the hardware and experimental apparatus in previous researches.In this thesis, an adaptive controller has been developed for active control of pressure pulsation in hydraulic system. The principle of the adaptive LMS filter and details of the controller design are described and the implementation was carried out through simulation. The designed controller was applied on a vibration test rig initially prior to the hydraulic testing in order to investigate its advantages and limitations in practice.Extensive testing on a switched inertance hydraulic rig proved that the controller, which used a piezoelectric valve with fast response and good bandwidth, is effective and that it has several advantages over previous methods, being effective for low frequency cancellation, with a quick response, and is robust and versatile. II A novel method for the accurate measurement of unsteady flowrate in a pipe was proposed. This was applied and validated on a pipe, and was shown to give good results. This method solves the difficulty for measuring the unsteady flowrate currently by using easy-measured signals, such as pressures. It can be used widely for predicting the unsteady flowrate along the pipe. III ACKNOWLEDGEMENTS

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“…The superscript is an auxiliary time step that is introduced to represent the difference in time steps. From (11), (12), (21), (23), and (30), we obtain a differential equation that describes the dynamical behavior of in a deterministic form as follows:…”

Section: Theorymentioning

confidence: 99%

“…In [18], [19], [20], it is assumed that the correlation between the input signal vectors is more dominant than the correlation between the weight vector of the adaptive filter and the input signal vectors. In [21], [22], [23], it is assumed that the input signal is sinusoidal. In [24], it is assumed that both the unknown system and the adaptive filter have a small number of taps.…”

Section: Introductionmentioning

confidence: 99%

A theory of the FXLMS algorithm based on statistical-mechanical method

Miyoshi

Kajikawa

2013

2013 8th International Symposium on Image and Signal Processing and Analysis (ISPA)

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We analyze the learning curves of the FXLMS algorithm using a statistical-mechanical method. Cross-correlations between the element of a primary path and that of an adaptive filter and autocorrelations of the elements of the adaptive filter are treated as macroscopic variables. We obtain simultaneous differential equations that describe the dynamical behaviors of the macroscopic variables under the conditions in which the tapped-delay line is long. We analytically solve the equations to obtain the correlations and finally compute the mean-square error. Introducing the correlation function of the input signal, the theory can treat not only the white but also the nonwhite signal. The obtained theory quantitatively agrees with the results of computer simulations.

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A Filtered-X LMS Algorithm for Sinusoidal Reference Signals—Effects of Frequency Mismatch

Cited by 35 publications

References 8 publications

Statistical-mechanical analysis of the FXLMS algorithm with time-varying primary path

Statistical-mechanical analysis of the FXLMS algorithm with time-varying primary path

Active control of pressure pulsation in a switched inertance hydraulic system

A theory of the FXLMS algorithm based on statistical-mechanical method

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