Skip to main content
Log in

Vibration filter using vector channel periodic lattice

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

This paper considered identification of vibration characteristics of flexible structure with vector channel periodic lattice filter. We present an algorithm for AR coefficients for the vector-channel lattice filters, and characteristic equation and transfer function are derived from these coefficients. Vibration lattice filter is then constructed from the vector channel lattice filter, and performance of this vibration filter is tested with a test signal which is a combination of many sine waves to compare the performance of scalar and vector channel lattice. Also it is applied to the cantilever data to identify properties of the system, such as natural frequencies and damping ratios, to show its performance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Gibson, J. S. and Jabbari, F., 1984, “An ARMA Model for a Class of Distributed Systems,”Proc. CDC, Las Vegas, pp. 1171–1175.

  • Jabbari, F. and Gibson, J. S., 1988a, “Identification of Flexible Structures Using an Adaptive Order-Recursive Method,”Proc. CDC, Austin, Texas, pp. 1168–1673.

  • Jabbari, F. and Gibson, J. S., 1988b, “Vector Channel Lattice Filters and Identification of Flexible Structures,”IEEE Trans. Automatic Control, pp. 448–456.

  • Jabbari, F. and Gibson, J. S., 1989, “Adaptive Identification of Flexible Structures by Lattice Filters,”J. Guidance, Vol. 12, No. 4, pp. 548–554.

    Article  MathSciNet  Google Scholar 

  • Kim, J. Y., Hwang, W. G. and Kee, C. D., 1992, “A Study on Modal Parameter Estimation Using Vector Channel Periodic Lattice Filter,”Proc.,KSME Autumn Annual Meeting, Nov., pp. 595–600.

  • Lee, D. T. L., Morf, M. and Friedlander, B., 1981, “Recursive Least Squares Ladder Estimation Algorithms,”IEEE Trans. Acoust., Speech, Signal Processing, Vol. ASSP-29, No. 3, June, pp. 627–641.

    Article  MathSciNet  Google Scholar 

  • Pagano, M., 1978, “On Periodic and Multiple Autoregressions,”The Annals of Statistics, Vol. 6, No. 6, pp. 1310–1317.

    Article  MATH  MathSciNet  Google Scholar 

  • Sundararajan, N. and Montgomery, R. C., 1983, “Identification of Structural Dynamics Systems Using Least Squares Lattice Filters,”Journal of Guidance, Control, and Dynamics, Vol. 6, Sep–Oct, pp. 374–381.

    Article  MATH  Google Scholar 

  • Sundararajan, N. and Montgomery, R. C., 1985, “Adaptive Modal Control of Structural Dynamics Systems Using Recursive Lattice Filters,”Journal of Guidance, Control and Dynamics, Vol. 8, pp. 223–229.

    Article  MATH  Google Scholar 

  • Wiberg, D. M. and Gillis, J. T., 1985, “Estimation of Frequencies of Vibration Using Lattices,”Proc. of 24th IEEE-CDC, Ft. Lauderdale, Fl.

  • Wiberg, D. M., 1985, “Frequencies of Vibration Estimated by Lattice,”J. Astronautical Sciences, Vol. 33, No. 1, Jan.–Mar., pp. 48–60.

    Google Scholar 

  • Wiberg, D. M., Baskin, F. and Lindsay, R.D., 1984, “Lattice Form Recursive Linear Least Square Algorithms,”Modeling, Identification, and Control, Vol. 5, No. 2, pp. 71–101.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hyung-Eun Im.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hwang, WG., Im, HE. Vibration filter using vector channel periodic lattice. J Mech Sci Technol 20, 2043–2051 (2006). https://doi.org/10.1007/BF02916321

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02916321

Key Words

Navigation