Frequency invariant beamforming for two-dimensional and three-dimensional arrays

A novel method for the design of two-dimensional (2-D) and three-dimensional (3-D) arrays with frequency invariant beam patterns is proposed. By suitable substitutions, the beam pattern of a 2-D or 3-D arrays can be regarded as the 3-D or 4-D Fourier transform of its spatial and temporal parameters. Since frequency invariance can be easily imposed in the Fourier domain, a simple design method is derived. Design examples for the 2-D case are provided.

[1]  J. Doles,et al.  Broad-band array design using the asymptotic theory of unequally spaced arrays , 1988 .

[2]  S. Weiss,et al.  A broadband adaptive beamformer in subbands with scaled aperture , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[3]  Takashi Sekiguchi,et al.  Wideband beamspace adaptive array utilizing FIR fan filters for multibeam forming , 2000, IEEE Trans. Signal Process..

[4]  Thomas Chou.  Frequency-independent beamformer with low response error , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[5]  Gary W. Elko,et al.  Constant beamwidth beamforming , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  R.A. Kennedy,et al.  FIR filter design for frequency invariant beamformers , 1996, IEEE Signal Processing Letters.

[7]  E. L. Hixson,et al.  Wide-Bandwidth Constant-Beamwidth Acoustic Array , 1970 .

[8]  Vivien Chu,et al.  Ultra Wideband Signals and Systems in Communication Engineering , 2007 .

[9]  Harry L. Van Trees,et al.  Optimum Array Processing , 2002 .

[10]  Harry L. Van Trees,et al.  Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory , 2002 .

[11]  R. C. Williamson,et al.  Theory and design of broadband sensor arrays with frequency invariant far‐field beam patterns , 1995 .

[12]  Michael S. Brandstein,et al.  Microphone Arrays - Signal Processing Techniques and Applications , 2001, Microphone Arrays.

[13]  S. Weiss,et al.  Design of frequency-invariant beamformers employing multi-dimensional Fourier transforms , 2005, The Fourth International Workshop on Multidimensional Systems, 2005. NDS 2005..