Designing Amplitude/Phase Response of the Frost Beamformer

In this correspondence, three methods are proposed to design the look-direction amplitude/phase response to optimize the Frost beamformer. With some constrained optimization criteria, the new constraint vector and thus the new weight vector are designed to improve the output signal-to-interference-plus-noise ratio (SINR) relative to the beamformer with the distortionless constraint. Simulation results are presented to demonstrate the improved interference and noise suppression performance of the optimized beamformer

[1]  Eric M. Dowling,et al.  An adaptive microphone array processing system , 1992, Microprocess. Microsystems.

[2]  Fan Wang,et al.  Optimal array pattern synthesis using semidefinite programming , 2003, IEEE Trans. Signal Process..

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

[4]  Robert L. Grossman,et al.  Wavelet transforms associated with finite cyclic groups , 1992, [1992] Conference Record of the Twenty-Sixth Asilomar Conference on Signals, Systems & Computers.

[5]  P. Russer,et al.  Signal processing for wideband smart antenna array applications , 2004, IEEE Microwave Magazine.

[6]  C.C. Murphy,et al.  On the structure of 2-channel paraunitary finite field multirate filter banks , 2005, Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005..

[7]  Meng Hwa Er,et al.  On derivative constrained broad-band beamforming , 1990, IEEE Trans. Acoust. Speech Signal Process..

[8]  Zhenghe Feng,et al.  A new array pattern synthesis algorithm using the two-step least-squares method , 2005, IEEE Signal Processing Letters.

[9]  Faramarz Fekri,et al.  A block cipher cryptosystem using wavelet transforms over finite fields , 2004, IEEE Transactions on Signal Processing.

[10]  Ronald W. Schafer,et al.  Two-band wavelets and filterbanks over finite fields with connections to error control coding , 2003, IEEE Trans. Signal Process..

[11]  Barry D. Van Veen.  Minimum variance beamforming with soft response constraints , 1991, IEEE Trans. Signal Process..

[12]  Ahmed H. Tewfik,et al.  A binary wavelet decomposition of binary images , 1996, IEEE Trans. Image Process..

[13]  Antonio Cantoni,et al.  A new approach to the design of broad-band element space antenna array processors , 1985 .

[14]  Mina Sartipi,et al.  Convolutional codes using finite-field wavelets: time-varying codes and more , 2005, IEEE Transactions on Signal Processing.

[15]  C.-Y. Tseng,et al.  Minimum variance beamforming with phase-independent derivative constraints , 1992 .

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

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

[18]  Yves Grenier.  A microphone array for car environments , 1993, Speech Commun..

[19]  J. O’Sullivan,et al.  Theory of Paraunitary Filter Banks Over Fields of Characteristic Two , 2002 .

[20]  R. Harrington,et al.  Computational methods for antenna pattern synthesis , 1975 .

[21]  Chien-Chung Yeh,et al.  Wideband forward-backward beamforming and its efficient computation methods , 1995, Signal Process..

[22]  C. K. Siew,et al.  Design of FIR filters using quadratic programming approach , 1995 .

[23]  P. P. Vaidyanathan,et al.  Paraunitary filter banks over finite fields , 1997, IEEE Trans. Signal Process..

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