Convolution Constraints for Broadband Antenna Arrays

Directional constraints are imposed on the weights of an antenna array to obtain solutions of some constrained beamforming problems. For broadband antenna arrays, formulation of a constrained beamforming problem typically requires presteering the array using steering delays. These delays create implementation problems and cause loss of system performance in the presence of implementation errors. This paper presents new kind of constraints referred to as convolution constraints, which are easy to implement, eliminate the need for presteering the array and can be used for broadband pattern synthesis. Examples are presented to demonstrate many applications of these constraints on an array weights.

[1]  Michael T. Chryssomallis,et al.  Smart antennas , 2000 .

[2]  L.C. Godara,et al.  New constraints for broadband beamformers without steering delays , 2005, IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, 2005..

[3]  Antonio Cantoni,et al.  An unconstrained partitioned realization for derivative constrained broad-band antenna array processors , 1986, IEEE Trans. Acoust. Speech Signal Process..

[4]  Antonio Cantoni,et al.  A new set of linear constraints for broadband time domain element space processors , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  O. L. Frost,et al.  An algorithm for linearly constrained adaptive array processing , 1972 .

[6]  Lal C. Godara.  Application of the fast Fourier transform to broadband beamforming , 1995 .

[7]  Lal C. Godara,et al.  Limitations and capabilities of frequency domain broadband constrained beamforming schemes , 1999, IEEE Trans. Signal Process..

[8]  Jr. R. Compton,et al.  The bandwidth performance of a two-element adaptive array with tapped delay-line processing , 1988 .

[9]  L. C. Godara,et al.  Applications Of Antenna Arrays To Mobile Communications, Part I: Performance Improvement, Feasibility, And System Considerations , 1997, Proceedings of the IEEE.

[10]  Antonio Cantoni,et al.  Derivative constrained optimum broad-band antenna arrays , 1993, IEEE Trans. Signal Process..

[11]  Zhiping Lin,et al.  A robust algorithm for linearly constrained adaptive beamforming , 2004, IEEE Signal Process. Lett..

[12]  R.T. Compton,et al.  Adaptive Array Bandwidth with Tapped Delay-Line Processing , 1979, IEEE Transactions on Aerospace and Electronic Systems.

[13]  Ian Li-Jin Thng,et al.  Robust presteering derivative constraints for broadband antenna arrays , 2002, IEEE Trans. Signal Process..

[14]  Robert A. Shore.  A sector nulling technique revisited , 2001 .

[15]  R. T. Compton,et al.  Bandwidth performance of linear adaptive arrays with tapped delay-line processing , 1992 .

[16]  Dale J. Shpak,et al.  A method for the optimal pattern synthesis of linear arrays with prescribed nulls , 1996 .

[17]  M. H. Er.  Adaptive antenna array under directional and spatial derivative constraints , 1988 .

[18]  A. Cantoni,et al.  A new set of linear constraints for broad-band time domain element space processors , 1986 .

[19]  Lal C. Godara,et al.  Performance of broadband arrays using convolution constraints , 2005, Proceedings of the Eighth International Symposium on Signal Processing and Its Applications, 2005..

[20]  M. Fujita,et al.  An adaptive antenna array under directional constraint , 1976 .

[21]  Antonio Cantoni,et al.  Constraints for maximally flat optimum broadband antenna arrays , 1995, IEEE Trans. Signal Process..

[22]  Lal C. Godara,et al.  Broadband Antenna Array Pattern Synthesis with specified Nulls Using Eigenvector Constraints , 2005 .

[23]  L. Godara.  Application of antenna arrays to mobile communications. II. Beam-forming and direction-of-arrival considerations , 1997, Proc. IEEE.

[24]  Robin J. Evans,et al.  An adaptive array processor with robustness and broad-band capabilities , 1984 .

[25]  Antonio Cantoni,et al.  Derivative constraints for broad-band element space antenna array processors , 1983 .

[26]  A. Cantoni,et al.  A new approach to the design of broad-band element space antenna array processors , 1985, IEEE Journal of Oceanic Engineering.