Compensation for missing array elements by direct beam synthesis

Emad S. Ebbini; Matthew O'Donnell

doi:10.1109/ULTSYM.1991.234242

Compensation for missing array elements by direct beam synthesis

Emad S. Ebbini, Matthew O'Donnell

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

We describe a theoretical formulation allowing optimization of phased-array beam patterns in the presence of missing elements. The approach specifies the desired beam pattern at a set of control points (directions) in the focal plane covering both the main beam and sidelobes. Complex element weights (for either transmit or receive) are found as the vector with minimum norm (i.e., minimum energy) minimizing the square error between the realized and the specified beam patterns at the control points. The method lends itself to a robust efficient numerical calculation permitting on-line implementation.

Original language	English (US)
Article number	234242
Pages (from-to)	645-649
Number of pages	5
Journal	Proceedings - IEEE Ultrasonics Symposium
DOIs	https://doi.org/10.1109/ULTSYM.1991.234242
State	Published - 1991
Externally published	Yes
Event	1991 IEEE Ultrasonics Symposium. ULTSYM 1991 - Orlando, United States Duration: Dec 8 1991 → Dec 11 1991

Bibliographical note

Funding Information:
Acknowledgement Simulations presented in this paper were performed on Cray-YMP at the University of Illinois under grant number ECS870001 from the National Center for Supercomputing Applications (NCSA).

Publisher Copyright:
© 1991 IEEE.

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title = "Compensation for missing array elements by direct beam synthesis",

abstract = "We describe a theoretical formulation allowing optimization of phased-array beam patterns in the presence of missing elements. The approach specifies the desired beam pattern at a set of control points (directions) in the focal plane covering both the main beam and sidelobes. Complex element weights (for either transmit or receive) are found as the vector with minimum norm (i.e., minimum energy) minimizing the square error between the realized and the specified beam patterns at the control points. The method lends itself to a robust efficient numerical calculation permitting on-line implementation.",

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note = "Funding Information: Acknowledgement Simulations presented in this paper were performed on Cray-YMP at the University of Illinois under grant number ECS870001 from the National Center for Supercomputing Applications (NCSA). Publisher Copyright: {\textcopyright} 1991 IEEE.; 1991 IEEE Ultrasonics Symposium. ULTSYM 1991 ; Conference date: 08-12-1991 Through 11-12-1991",

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AU - O'Donnell, Matthew

N1 - Funding Information: Acknowledgement Simulations presented in this paper were performed on Cray-YMP at the University of Illinois under grant number ECS870001 from the National Center for Supercomputing Applications (NCSA). Publisher Copyright: © 1991 IEEE.

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N2 - We describe a theoretical formulation allowing optimization of phased-array beam patterns in the presence of missing elements. The approach specifies the desired beam pattern at a set of control points (directions) in the focal plane covering both the main beam and sidelobes. Complex element weights (for either transmit or receive) are found as the vector with minimum norm (i.e., minimum energy) minimizing the square error between the realized and the specified beam patterns at the control points. The method lends itself to a robust efficient numerical calculation permitting on-line implementation.

AB - We describe a theoretical formulation allowing optimization of phased-array beam patterns in the presence of missing elements. The approach specifies the desired beam pattern at a set of control points (directions) in the focal plane covering both the main beam and sidelobes. Complex element weights (for either transmit or receive) are found as the vector with minimum norm (i.e., minimum energy) minimizing the square error between the realized and the specified beam patterns at the control points. The method lends itself to a robust efficient numerical calculation permitting on-line implementation.

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T2 - 1991 IEEE Ultrasonics Symposium. ULTSYM 1991

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ER -

Compensation for missing array elements by direct beam synthesis

Abstract

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