New block filtered-X LMS algorithms for active noise control systems

New block formulations for an active noise control (ANC) system using only convolution machines are presented. The proposed approaches are different from conventional block least-mean-square (LMS) algorithms that use both convolution and cross-correlation machines. The block implementation is also applied to the filtering of the reference signal by the secondary-path estimate. In addition to the use of the fast Fourier transform (FFT), the fast Hartley transform (FHT) is used to develop transform-domain ANC structures for reducing computational complexity. In the proposed approach, some FFT and FHT blocks are removed to obtain an additional reduction of the computational burden resulting in the reduced-structure of FFT-based block filtered-X LMS (FBFXLMS) and FHT-based block filtered-X LMS (HBFXLMS) algorithms. The computational complexities of these new ANC structures are evaluated.

[1]  A. Gray,et al.  Unconstrained frequency-domain adaptive filter , 1982 .

[2]  Young-Cheol Park,et al.  A delayless subband active noise control system for wideband noise control , 2001, IEEE Trans. Speech Audio Process..

[3]  Barry D. Van Veen,et al.  A constrained transform domain adaptive IIR filter structure for active noise control , 1997, IEEE Trans. Speech Audio Process..

[4]  Philip A. Nelson,et al.  Active Control of Sound , 1992 .

[5]  Marc Bodson,et al.  Fast exact adaptive algorithms for feedforward active noise control , 2000 .

[6]  Paul Strauch,et al.  Active control of nonlinear noise processes in a linear duct , 1998, IEEE Trans. Signal Process..

[7]  Behrouz Farhang-Boroujeny.  Analysis and efficient implementation of partitioned block LMS adaptive filters , 1996, IEEE Trans. Signal Process..

[8]  Mohammad Reza Alsharif,et al.  Acoustic echo-canceler using the FBAF algorithm , 1994, IEEE Trans. Commun..

[9]  Qun Shen,et al.  Time- and frequency-domain X-block least-mean-square algorithms for active noise control , 1996 .

[10]  Sanjit K. Mitra,et al.  Block implementation of adaptive digital filters , 1981 .

[11]  Mansour Tahernezhadi,et al.  Frequency-domain periodic active noise control and equalization , 1997, IEEE Trans. Speech Audio Process..

[12]  Scott C. Douglas.  Fast implementations of the filtered-X LMS and LMS algorithms for multichannel active noise control , 1999, IEEE Trans. Speech Audio Process..

[13]  Sen M. Kuo,et al.  Active Noise Control Systems: Algorithms and DSP Implementations , 1996 .

[14]  Behrouz Farhang-Boroujeny,et al.  Fast LMS/Newton algorithms based on autoregressive modeling and their application to acoustic echo cancellation , 1997, IEEE Trans. Signal Process..

[15]  Saeed Gazor,et al.  Selection of orthonormal transforms for improving the performance of the transform domain normalised LMS algorithm , 1992 .

[16]  Bernard Mulgrew,et al.  A self-orthogonalizing efficient block adaptive filter , 1986, IEEE Trans. Acoust. Speech Signal Process..

[17]  E. Ferrara.  Fast implementations of LMS adaptive filters , 1980 .

[18]  A. Peterson,et al.  Transform domain LMS algorithm , 1983 .

[19]  Bernard Widrow,et al.  Adaptive Signal Processing , 1985 .

[20]  Ganapati Panda,et al.  New high-speed prime-factor algorithm for discrete Hartley transform , 1993 .