An exact analysis of the LMS algorithm with tonal reference signals in the presence of frequency mismatch

Sakai, Hideaki; Hinamoto, Yoichi

doi:10.1016/j.sigpro.2004.10.021

Cited by 18 publications

(9 citation statements)

References 4 publications

(5 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dynamics of the narrowband ANC systems with the FM and the steady-state performance were analysed for the real-valued sinusoidal signals using the averaging technique (Xiao et al, 2004a). 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%

Active control of pressure pulsation in a switched inertance hydraulic system

Pan

Johnston

Hillis

2013

Proceedings of the Institution of Mechanical Engineers, Part I:

View full text Add to dashboard Cite

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

show abstract

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:

View full text Add to dashboard Cite

show abstract

“…The difference between the frequency of reference signal and the primary noise is called frequency mismatch in narrowband ANC systems [6]. It is shown that the performance of ANC system is severely degraded even though there is just 1% of frequency mismatch [7].…”

Section: Introductionmentioning

confidence: 99%

Frequency mismatch in narrowband active noise control

Jeon

Kim

Park

et al. 2010

2010 IEEE International Conference on Acoustics, Speech and Signal Processing

View full text Add to dashboard Cite

This paper analyzes the effects of frequency error in internal signal generator for narrowband active noise control systems. Two stability conditions and the optimum step-size to achieve the minimum excess mean-square error are analyzed in the paper. The noise reduction is formulated as a function of frequency mismatch, step size, and phase error in the estimation of the secondary path. The theoretical analysis presented in the paper is verified by computer simulations.Index Terms-FXLMS algorithm, frequency mismatch, stability and steady-state analysis, narrowband active noise control

show abstract

“…Applying the -transform to the adaptive algorithm, it was shown that under certain conditions the system can be approximated by a linear time-invariant system whose transfer function has notch characteristic. In [3] and [4], rigorous results about convergence of the LMS algorithm have been derived where complex sinusoids with unit amplitudes and known frequencies are used as the input signals.…”

Section: Introductionmentioning

confidence: 99%

Exact Convergence Analysis of Adaptive Filter Algorithms Without the Persistently Exciting Condition

Sakai

Yang

Oka

2007

IEEE Trans. Signal Process.

Self Cite

View full text Add to dashboard Cite

Exact convergence analysis of the recursive least square and least mean square (LMS) algorithms in adaptive filtering is presented for the case of sinusoidal signal cancellation without the persistently exciting condition. This situation occurs when the number of tap coefficients of the adaptive filter exceeds that of the complex sinusoids in the input signal. The convergent point of both algorithms is shown to be the one determined by the pseudo inverse of the deterministic covariance matrix. The convergence proof for the LMS algorithm is based on the Lyapunov function method. Finally, the validity of the obtained results is supported by simulation results.

show abstract

An exact analysis of the LMS algorithm with tonal reference signals in the presence of frequency mismatch

Cited by 18 publications

References 4 publications

Active control of pressure pulsation in a switched inertance hydraulic system

Active control of pressure pulsation in a switched inertance hydraulic system

Frequency mismatch in narrowband active noise control

Exact Convergence Analysis of Adaptive Filter Algorithms Without the Persistently Exciting Condition

Contact Info

Product

Resources

About