Kotelnikov Institute of Radio Engineering and Electronics of RAS Русский Sign in Submit a paper
Journal of Radio Electronics Online scientific journal · eISSN 1684-1719
2002, № 10 · RADIO ENGINEERING

A cnlms adaptive filter algorithm

Casco Fausto1, Omar Amín2, Victor Zaharov2, Alexander Ekzhanov2

1 Department Electrical Engineering, Universidad Autónoma Metropolitana-Iztapalapa, México City, México, MEX
2 Department Electrical Engineering
Full text EDN MSRYXP

Abstract

This paper propose a Cascaded structure for adaptive digital filtering used with the Normalized Least Mean Square Algorithm (CNLMS) that can be obtained by the expansion of Laguerre?s polynomials, this structure is implemented as a system identifier and is compared with filter structure using the Normalized Least Mean Square Algorithm (LMS) [6] and with the Variable Step Size Algorithm (MVSS) described in [7]. The number of analytical operations is below of the required for the MVSS algorithm. Simulations show that the new architecture decrease the mean square error (MSE) compared with results obtained of comparison with both NLMS and MVSS algorithms, see figures 3 and 4.

For citation

Fausto Casco, Amín Omar, Zaharov Victor, Ekzhanov Alexander A cnlms adaptive filter algorithm // Journal of Radio Electronics. – 2002. – No. 10.

References

  1. Flanagan, J. L., Speech Analysis Synthesis and Perception, Second Edition, Springer -Verlag -Berlin - Heidelberg - New York, 1973.
  2. Lee, Y. W., Statistical Theory of Communication. New York, John Wiley & Sons, 1960.
  3. Kulya V. I., Application of Laguerre Functions to Parametric Coding of Speech Signals, Journal "Electrosvyaz", No. 7, pp.33-39, 1962. Also Journal "Telecommunications and Radio Engineering" No. 7, 34- 41, 1962.
  4. Manley, H. J., Klien D. B., Analysis-Synthesis of Continuous Speech in Terms of Orthogonalized Exponentially Damped Sinusoids, J. of Acoust. Soc. Am. 34, 724 (A), 1962.
  5. Makhoul, J., Stable and Efficient Lattice Methods for Linear Prediction, IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP- 25, pp. 423- 428, Oct. 1977.
  6. B.Widrow and S.D. Stearns, Adaptive Signal Processing. Prentice Hall, Englewood Cliffs, New Jersey, 1985.
  7. Tyseer A.,K. Mayas, A Robust Variable Step-Size LMS type Algorithm: Analysis and Simulations,.IEEE Transactions on Signal Processing,vol.45,no.3, pp 631-639, March 1997.