# Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays. I. Fully augmentable arrays

@article{Abramovich1998PositivedefiniteTC, title={Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays. I. Fully augmentable arrays}, author={Y. Abramovich and D. Gray and Alexei Gorokhov and N. Spencer}, journal={IEEE Trans. Signal Process.}, year={1998}, volume={46}, pages={2458-2471} }

This paper considers the problem of direction-of arrival (DOA) estimation for multiple uncorrelated plane waves incident on so-called "fully augmentable" sparse linear arrays. In situations where a decision is made on the number of existing signal sources (m) prior to the estimation stage, we investigate the conditions under which DOA estimation accuracy is effective (in the maximum-likelihood sense). In the case where m is less than the number of antenna sensors (M), a new approach calledâ€¦Â CONTINUE READING

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#### References

SHOWING 1-10 OF 49 REFERENCES

Positive-definite Toeplitz completion in DOA estimation for fully-augmentable nonuniform linear antenna arrays

- Mathematics, Computer Science
- 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings
- 1996

11

Positive definite Toeplitz completion in DOA estimation for partially-augmentable nonuniform linear antenna arrays

- Mathematics
- Proceedings of 8th Workshop on Statistical Signal and Array Processing
- 1996

14

Unified analysis for DOA estimation algorithms in array signal processing

- Mathematics, Computer Science
- Signal Process.
- 1991

95

Resolving manifold ambiguities in direction-of-arrival estimation for nonuniform linear antenna arrays

- Computer Science, Mathematics
- IEEE Trans. Signal Process.
- 1999

54

Ambiguities In Direction-Of-Arrival Estimation for Nonuniform Linear Antenna Arrays

- Computer Science
- Fourth International Symposium on Signal Processing and Its Applications
- 1996

12

Asymptotic efficiency of manifold ambiguity resolution for DOA estimation in nonuniform linear antenna arrays

- Computer Science
- First IEEE Signal Processing Workshop on Signal Processing Advances in Wireless Communications
- 1997

3

Comparison of DOA estimation performance for various types of sparse antenna array geometries

- Mathematics, Computer Science
- 1996 8th European Signal Processing Conference (EUSIPCO 1996)
- 1996

19- PDF

A new approach to array geometry for improved spatial spectrum estimation

- Mathematics
- Proceedings of the IEEE
- 1985

183

Statistical analysis of a high resolution spatial spectrum estimator utilizing an augmented covariance matrix

- Mathematics, Computer Science
- IEEE Trans. Acoust. Speech Signal Process.
- 1987

72