R-dimensional esprit-type algorithms for strictly second-order non-circular sources and their performance analysis
Steinwandt J, Roemer F, Haardt M, Galdo GD (2014)
Publication Type: Journal article
Publication year: 2014
Journal
Book Volume: 62
Pages Range: 4824-4838
Article Number: 6863678
Journal Issue: 18
Abstract
High-resolution parameter estimation algorithms designed to exploit the prior knowledge about incident signals from strictly second-order (SO) noncircular (NC) sources allow for a lower estimation error and can resolve twice as many sources. In this paper, we derive the R-D NC Standard ESPRIT and the R -D NC Unitary ESPRIT algorithms that provide a significantly better performance compared to their original versions for arbitrary source signals. They are applicable to shift-invariant R-D antenna arrays and do not require a centro-symmetric array structure. Moreover, we present a first-order asymptotic performance analysis of the proposed algorithms, which is based on the error in the signal subspace estimate arising from the noise perturbation. The derived expressions for the resulting parameter estimation error are explicit in the noise realizations and asymptotic in the effective signal-to-noise ratio (SNR), i.e., the results become exact for either high SNRs or a large sample size. We also provide mean squared error (MSE) expressions, where only the assumptions of a zero mean and finite SO moments of the noise are required, but no assumptions about its statistics are necessary. As a main result, we analytically prove that the asymptotic performance of both R-D NC ESPRIT-type algorithms is identical in the high-effective SNR regime. Finally, a case study shows that no improvement from strictly non-circular sources can be achieved in the special case of a single source. © 2014 IEEE.
Involved external institutions
Germany (DE)How to cite
APA:
Steinwandt, J., Roemer, F., Haardt, M., & Galdo, G.D. (2014). R-dimensional esprit-type algorithms for strictly second-order non-circular sources and their performance analysis. IEEE Transactions on Signal Processing, 62(18), 4824-4838. https://doi.org/10.1109/TSP.2014.2342673
MLA:
Steinwandt, Jens, et al. "R-dimensional esprit-type algorithms for strictly second-order non-circular sources and their performance analysis." IEEE Transactions on Signal Processing 62.18 (2014): 4824-4838.
BibTeX: Download