Title :
Cramer-Rao bounds for location of unknown multiple sources in a multipath environment
Author :
Moura, Jose M. F.
Author_Institution :
Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA
Abstract :
The authors derive expressions for the Cramer-Rao bound on the location parameters of several stochastic sources. The source signals are Gaussian, with unknown mean and variance parameters. In this way, they are able to derive expressions that encompass the commonly considered models of unknown deterministic and zero-mean stochastic source signals. The inverse of the Cramer-Rao bound for the location parameters is the sum of two components, one representing the information in the mean of the observations, and the other associated to its stochastic nature. Both these components are equal to the information for the corresponding known source signal case minus a loss term due to lack of knowledge of the source signal moments.<>
Keywords :
boundary-value problems; electromagnetic wave propagation; signal processing; Cramer-Rao bounds; Gaussian signals; electromagnetic propagation; multipath environment; multiple source location; signal processing; unknown covariance; unknown deterministic sources; zero-mean stochastic source signals; Covariance matrix; Narrowband; Parameter estimation; Position measurement; Probability density function; Propagation losses; Stochastic processes; Wideband;
Conference_Titel :
Spectrum Estimation and Modeling, 1990., Fifth ASSP Workshop on
Conference_Location :
Rochester, NY, USA
DOI :
10.1109/SPECT.1990.205552