Xiaoli Hu1,2, Pin-Han Ho3, and Limei Peng4,*
Limei Peng
1 Nanfang College, Sun Yat-Sen Univeristy, Guangzhou 510900, China
2 College of Computer Science and Software Engineering, Shenzhen University, Shenzhen 518060, China
3 Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Canada
4 School of Computer Science and Engineering, Kyungpook National University, South Korea
* Corresponding author
The paper considers the consistence condition of Maximum Likelihood (ML) estimation for multiple transmitter locations in a wireless network with cooperative receiver nodes. It is found that the location set of receiver nodes should not locate (or asymptotically in some sense) merely in an algebraic curve of order 2M −1 if there are totally M transmitters. A sufficient condition for consistence of the ML estimation for M transmitters is that the limit set of locations contains a subset, comprised of (2M2 −M +2) points, which is non-C-2M-co-curved, a notion given by Definition IV-B. This condition can be compared to the persistent excitation condition used to guarantee the convergence of least squares algorithm. Numerical experiments are designed to demonstrate the theoretical discoveries in both positive and negative aspects.
Multiple transmitter locations, maximum likelihood estimation, consistence condition
Xiaoli Hu, Pin-Han Ho, and Limei Peng (2021). Performance Analysis of Maximum Likelihood Estimation for Multiple Transmitter Locations. Journal of Networking and Network Applications, Volume 1, Issue 2, pp. 60–66. https://doi.org/10.33969/J-NaNA.2021.010203.
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