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IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 47, NO. 1, JANUARY 1999 33 Nearfield Beamforming Using Radial Reciprocity
 

Summary: IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 47, NO. 1, JANUARY 1999 33
Nearfield Beamforming Using Radial Reciprocity
Rodney A. Kennedy, Member, IEEE, Darren B. Ward, and Thushara D. Abhayapala, Student Member, IEEE
Abstract--We establish the asymptotic equivalence, up to com-
plex conjugation, of two problems: 1) determining the nearfield
performance of a farfield beampattern specification and 2) de-
termining the equivalent farfield beampattern corresponding to
a nearfield beampattern specification. Using this reciprocity re-
lationship, we develop a computationally simple procedure to
design a beamforming array to achieve a desired nearfield beam-
pattern response. The superiority of this approach to existing
methods, both in ease of design implementation and performance
obtained, is analyzed and then illustrated by a design example.
Index Terms-- Array processing, broadband beamforming,
nearfield beamforming.
I. INTRODUCTION
THE MAJORITY of array processing literature deals with
the case in which the source is assumed to be in the
farfield of the array, and hence, the received wavefront from
a single point source is planar. This assumption significantly

  

Source: Abhayapala, Thushara D. - Department of Information Engineering, Australian National University

 

Collections: Computer Technologies and Information Sciences