Title :
On the achievable localization accuracy of multiple sources at high SNR
Author :
Sheinvald, Jacob ; Wax, Mati ; Weiss, Anthony J.
Author_Institution :
RAFAEL, Haifa, Israel
fDate :
7/1/1997 12:00:00 AM
Abstract :
The Cramer-Rao bound (CRB) for the problem of localizing multiple signal sources by an arbitrary passive sensor array is analyzed for the general case where the array is not necessarily simultaneously sampled and where the signals may a priori be known to be uncorrelated. It is shown that unlike in the case where the number of samples grows, wherein the CRB for the localization error always converges to zero, in the case where the number of snapshots is kept fixed and the signal-to-noise ratio (SNR) grows, the CRB converges to zero only if the number of sensors simultaneously sampled exceeds the signal subspace dimension
Keywords :
array signal processing; convergence of numerical methods; direction-of-arrival estimation; error analysis; signal sampling; Cramer-Rao bound; achievable localization accuracy; convergence; high SNR; multiple signal sources; passive sensor array; signal sampling; signal subspace dimension; signal to noise ratio; snapshots; Helium; Jacobian matrices; Maximum likelihood estimation; Multiple signal classification; Sensor arrays; Sensor phenomena and characterization; Signal analysis; Signal resolution; Signal to noise ratio; Transmission line matrix methods;
Journal_Title :
Signal Processing, IEEE Transactions on