• Corpus ID: 239049612

Ambiguities in Direction-of-Arrival Estimation with Linear Arrays

  title={Ambiguities in Direction-of-Arrival Estimation with Linear Arrays},
  author={Frederic Matter and Tobias Fischer and Marius Pesavento and Marc E. Pfetsch},
In this paper, we present a novel approach to compute ambiguities in thinned uniform linear arrays, i.e., sparse non-uniform linear arrays, via a mixed-integer program. Ambiguities arise when there exists a set of distinct directionsof-arrival, for which the corresponding steering matrix is rank-deficient and are associated with nonunique parameter estimation. Our approach uses Young tableaux for which a submatrix of the steering matrix has a vanishing determinant, which can be expressed… 

Figures and Tables from this paper


Modeling and estimation of ambiguities in linear arrays
The theoretical aspects of the investigation are followed by the proposal of an innovative approach that calculates not only all such ambiguities existing in a linear array of arbitrary geometry but the rank of ambiguity in each case as well.
A study of the rank-ambiguity issues in direction-of-arrival estimation
It is demonstrated that for a m-sensor array, m linearly dependent steering vectors exist if the aperture is greater than [(m-1)/2]/spl lambda//2, or when at least ([(m+1/2]+1) sensors are collinear.
A construction of arrays free of rank ambiguities
  • Kah-Chye Tan, Z. Goh
  • Engineering
    Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing
  • 1994
The present authors construct a class of cross arrays which are free of upto rank-k ambiguities, where k/spl isin/{1, 2...}. Through the study, they derive a theorem for characterizing inherent ambiguityuities associated with aclass of cross and circular arrays.
A study of the uniqueness of steering vectors in array processing
An extended ambiguity criterion for array design
  • N. Dowlut
  • Engineering
    Sensor Array and Multichannel Signal Processing Workshop Proceedings, 2002
  • 2002
The ambiguity problem in direction-of-arrival (DOA) estimation using a sensor array, manifests itself as spurious peaks in the DOA spectrum, making the true targets indistinguishable from the false
Identifiability and manifold ambiguity in DOA estimation for nonuniform linear antenna arrays
  • Y. Abramovich, N. Spencer, A. Gorokhov
  • Engineering
    1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)
  • 1999
This paper considers the direction-of-arrival (DOA) estimation identifiability problem for uncorrelated Gaussian sources and nonuniform antenna arrays and introduces an effective manifold ambiguity resolution algorithm that can resolve such ambiguity in all identifiable cases.
Problems with direction finding using linear array with element spacing more than half wavelength
This paper investigates the performance of different parameter estimation algorithms in direction finding using a linear array with element spacing of more than half a wavelength. The study shows
Identifiability results for blind beamforming in incoherent multipath with small delay spread
Several explicit identifiability results are derived for deterministic blind beamforming in incoherent multipath with small delay spread and new results regarding the Kruskal-rank of certain structured matrices are also included, and they are of interest in their own right.
Linear Array Thinning Exploiting Almost Difference Sets
This paper describes a class of linear thinned arrays with predictable and well-behaved sidelobes. The element placement is based on almost difference sets and the array power pattern is forced to
Observability conditions for multiple signal direction finding and array sensor localization
Three observability issues, which arise in narrowband signal direction-finding in the presence of array sensor location errors are described. Necessary and sufficient conditions for the phase delay