Design of Frequency Invariant Beamformer for Broadband Arrays

A simple method for the design of a class of arrays with frequency invariant beam patterns is proposed. Starting from the desired frequency invariant beam pattern of an n-D array, the proposed method uses a series of substitutions and an n-D inverse Fourier transform to obtain the desired frequency responses of the filters following each sensor. Given their desired frequency responses, these filters can be realized by either an analogue filter or a digital filter. Hence the proposed method can cover the design of broadband arrays with either analogue signals or discrete signals. Two design examples are provided, with one for a linear array and one for a planar array.

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

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

[3]  Ryuji Kohno,et al.  Ultra Wideband Signals and Systems in Communication Engineering: Ghavami/Ultra Wideband Signals and Systems in Communication Engineering , 2004 .

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

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

[6]  Shing-Chow Chan,et al.  On the design of digital broadband beamformer for uniform circular array with frequency invariant characteristics , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[7]  Shing-Chow Chan,et al.  Theory and Design of Uniform Concentric Spherical Arrays with Frequency Invariant Characteristics , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[8]  Dan P. Scholnik,et al.  Optimal design of wideband array patterns , 2000, Record of the IEEE 2000 International Radar Conference [Cat. No. 00CH37037].

[9]  Dan P. Scholnik,et al.  Formulating wideband array-pattern optimizations , 2000, Proceedings 2000 IEEE International Conference on Phased Array Systems and Technology (Cat. No.00TH8510).

[10]  Shing-Chow Chan,et al.  Theory and design of uniform concentric circular arrays with frequency invariant characteristics [sensor arrays] , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[11]  Shefeng Yan,et al.  Design of FIR beamformer with frequency invariant patterns via jointly optimizing spatial and frequency responses , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

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

[13]  Simon Haykin,et al.  Relation between the radiation pattern of an array and the two-dimensional discrete Fourier transform , 1975 .

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

[15]  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..

[16]  Dan P. Scholnik,et al.  Superdirectivity and SNR constraints in wideband array-pattern design , 2001, Proceedings of the 2001 IEEE Radar Conference (Cat. No.01CH37200).

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

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

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

[20]  Wei Liu,et al.  New class of broadband arrays with frequency invariant beam patterns , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.