TY - JOUR
T1 - Fundamental limitations on the number of resolvable emitters using a geolocation system
AU - Amar, Alon
AU - Weiss, Anthony J.
N1 - Funding Information:
Manuscript received December 11, 2005; revised July 22, 2006. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Jean Pierre Delmas. This research was supported by the Israel Science Foundation (Grant No. 1232/04) and by the Institute for Future Defense Technologies Research Named for the Medvadi, Shwartzman and Gensler.
PY - 2007/5
Y1 - 2007/5
N2 - We derive conditions for unique geolocation of multiple radio-frequency emitters using a general observation model. These conditions specify the maximum number of emitters that can be uniquely located by a geolocation system, often referred to as the resolution capacity (RC). Our derivations extend previously published results for geolocation based on angle-of-arrival (AOA) estimation. We show that with no prior information, the RC is upper bounded by the total number of antenna elements in the system, i.e., LM, where M is the number of elements in each array and L is the number of arrays. In contrast, the RC of geolocation based on AOA is upper bounded by M. In addition, if the signals are known to be uncorrelated, and the arrays are uniform and linear, the RC is upper bounded by (LM)2-L(M-1)2 -1. However, more emitters can be resolved using different types of arrays. Our results lead to the inevitable conclusion that geolocation based on AOA is suboptimal, and new methods should be developed that can jointly exploit the information collected by all the antenna arrays.
AB - We derive conditions for unique geolocation of multiple radio-frequency emitters using a general observation model. These conditions specify the maximum number of emitters that can be uniquely located by a geolocation system, often referred to as the resolution capacity (RC). Our derivations extend previously published results for geolocation based on angle-of-arrival (AOA) estimation. We show that with no prior information, the RC is upper bounded by the total number of antenna elements in the system, i.e., LM, where M is the number of elements in each array and L is the number of arrays. In contrast, the RC of geolocation based on AOA is upper bounded by M. In addition, if the signals are known to be uncorrelated, and the arrays are uniform and linear, the RC is upper bounded by (LM)2-L(M-1)2 -1. However, more emitters can be resolved using different types of arrays. Our results lead to the inevitable conclusion that geolocation based on AOA is suboptimal, and new methods should be developed that can jointly exploit the information collected by all the antenna arrays.
KW - Angle of arrival
KW - Array processing
KW - Emitter localization
KW - Resolution capacity
UR - http://www.scopus.com/inward/record.url?scp=34247872849&partnerID=8YFLogxK
U2 - 10.1109/TSP.2006.890935
DO - 10.1109/TSP.2006.890935
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AN - SCOPUS:34247872849
SN - 1053-587X
VL - 55
SP - 2193
EP - 2202
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 5 II
ER -