Skip to content

Advertisement

  • Research Article
  • Open Access

Two-Dimensional Frequencies Estimation Using Two-Stage Separated Virtual Steering Vector-Based Algorithm

EURASIP Journal on Advances in Signal Processing20112011:980349

https://doi.org/10.1155/2011/980349

  • Received: 10 May 2010
  • Accepted: 25 January 2011
  • Published:

Abstract

In this paper, we develop a novel two-stage separated virtual steering vector- (SVSV-) based algorithm without association operation to estimate 2D frequencies. The key points of this algorithm are (i) in the first stage, this paper rearranges the measurement data as virtual rectangular array data matrix and obtains the propagator from the data matrix using least-squares operator. In addition, the virtual steering vector can be separated into two parts using the introduced electric angle that combines 2D frequencies (to avoid incorrect association especially when multiple 2D frequencies have the same frequency at some dimension), and thus the electric angle and the first part of separated steering vector can be estimated using the derived rank-reduction propagator method; (ii) in the second stage, this paper estimates the second part of separated steering vector using another least-squares operator and obtains 2D frequencies from the recovered steering vector. The resultant SVSV algorithm does not require spectral search or pairing parameters or singular value decomposition (SVD) of data matrix. Simulation results are presented to validate the performance of the proposed method.

Keywords

  • Singular Value Decomposition
  • Data Matrix
  • Array Data
  • Frequency Estimation
  • Full Article

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
School of Automation & Information Engineering, Xi'an University of Technology, Xi'an, 710048, China

Copyright

Advertisement