Abstract
We consider a problem in which noisy measurements are made of the positions of points in a lattice. Some parameters of the lattice are known but others need to be estimated. In particular, it is not known a priori from which lattice point each measurement arises. In previous work [1-5], the authors have considered estimating the parameters of a one-dimensional lattice from measurements on the real Line. The application is period estimation from sparse, noisy measurements of a periodic event, e.g., estimation of baud in telecommunications signal processing. Here, we take a first step in generalising the results to higher-dimensional lattices, starting with two dimensions. We propose a model in which the lattice is square but the unknown parameters are a translation, rotation and scaling. An application is again in telecommunications, to blind detection of QAM. We propose an estimator based on the Bartlett point-process periodogram [6]. We show that, under certain conditions, the estimator is strongly consistent and obeys a central limit theorem. We demonstrate convergence to the limit with numerical simulations.
Original language | English |
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Title of host publication | Conference Record of the Fiftieh Asilomar Conference on Signals, Systems and Computers |
Editors | Michael B. Matthews |
Place of Publication | Piscataway, NJ |
Publisher | Institute of Electrical and Electronics Engineers (IEEE) |
Pages | 1821-1825 |
Number of pages | 5 |
ISBN (Electronic) | 9781538639542 |
DOIs | |
Publication status | Published - 2016 |
Event | 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016 - Pacific Grove, United States Duration: 6 Nov 2016 → 9 Nov 2016 |
Other
Other | 50th Asilomar Conference on Signals, Systems and Computers, ACSSC 2016 |
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Country/Territory | United States |
City | Pacific Grove |
Period | 6/11/16 → 9/11/16 |