Orthogonalized algorithms for FIR ANC adaptive systems

Authors

  • Daniel Tapia-Sanchez Mexico National Polytechnic Institute, Mexico
  • Rogelio Bustamente Bello Mexico National Polytechnic Institute, Mexico
  • Hector Perez Meana Mexico National Polytechnic Institute, Mexico
  • Mariko Nakano Miyatake Mexico National Polytechnic Institute, Mexico

DOI:

https://doi.org/10.1109/ICATT.2003.1239223

Keywords:

FIR filters, adaptive filters, adaptive signal processing, filtering theory, interference suppression, least mean squares methods, recursive filters

Abstract

Active noise cancellation algorithms (ANC) based on modification of filtered-x least mean squares (FxLMS) and filtered-x recursive least squares (FxRLS) algorithms are proposed, which are a direct consequence of using an orthogonal transform for decomposing the filter input into a number of finite and mutually near orthogonal signal components. The most important advantage of this approach is that it admits processing schemes in which each signal component can be independently processed. Computer simulation results are given to show the desirable features of proposed schemes.

References

Kuo, Sen M.; Morgan, Dennis R. Active noise control: A tutorial review. Proc. IEEE, Vol. 87, No. 6, June 1999.

Widrow, B.; et al. Adaptive noise canceling. Principles and its applications. Proc. IEEE, Vol. 63, p. 1692-1716, Dec. 1975.

Makhoul, J. Linear Prediction: A tutorial review. Proc. IEEE, Vol. 63, p. 561-580, Apr. 1975.

Griffiths, L. Rapid measurement of digital instantaneous frequency. IEEE Trans. Acoust., Speech, Signal Processing, Vol. ASSP-23, p. 209-222, Apr. 1975.

Widrow, B. Adaptive filters. In Aspects of Network and System Theory. New York: Holt, Rinehart, and Winston, 1971, pp. 563-587 [ed. by R. Kalman and N. De-Claris].

Ferrara, E.R. Fast implementation of LMS adaptive filters. IEEE Trans. Acoust., Speech, Signal Processing, Vol. ASSP-28. p. 474-475, Aug. 1980.

Haykin, S. Adaptive Filter Theoiy. Englewood Cliffs NJ: Prentice Hall, 1991.

Perez-Meana, H.; Tsujii, S. A System Identification Using Orthogonal Functions. IEEE Trans. on Signal Processing, Vol. 39, No. 3, Mar. 1991.

Narayan, S. Shankar; Peterson, A.; Narasimha, J. Transform domain LMS Algorithm. IEEE Trans. Acoust., Speech, Signal Processing, Vol. ASSP-31, No. 3, p. 609-615, June 1983.

Perez-Meana, H.; Nakano-Miyatake, M.; Nino-de-Rivera, L. Adaptive Filtering Based on Subband Decomposition. Proc. of The Int. Workshop of Mathematical Modeling of Physical Processes in Homogeneous Media, Guanajuato, Mex, Mar. 2001, pp. 14-16.

Sanchez, Daniel Tapia; Perez-Meana H.; Miyatake, Mariko Nakano. Filtrado Adaptable usando la Transformacion Coseno Discreta. 12°. Congreso Intemacional de Electronica y Comunicaciones, CONIELECOMP’2002. Acapulco, Gro. Mexico.

Sanchez, Daniel Tapia; Perez-Meana H.; Miyatake, Mariko Nakano. A Fast Parallel Form Filtered-x LMS for Active Noise Control. 2th Int. Workshop on Control, Virtual Instrument and Digital Systems, CICINDI’2002. Pachuca, Hgo. Mexico.

Sanchez, Daniel Tapia; Perez-Meana H.; Miyatake, Mariko Nakano. A scheme for Active Noise Control based on Filtered-x RLS algorithm. 2th Int. Workshop on Random Fields Modelling and Processing in Inhomogeneous Media, RFMPIM’2002. Guanajuato, Gto. Mexico.

Published

2003-09-14

Issue

Section

Adaptive antenna arrays and signal processing