### Abstract

An important question in array design is that of where to place the elements of a sparse array for optimal performance in terms of its ability to detect and resolve a greater number of sources than conventionally possible. In particular, it has been shown that when sensor elements are arranged in the minimum redundancy fashion, by performing an augmentation technique on the covariances obtained from the array outputs, an M element array can be made to estimate the directions of arrival of as many as M(M - 1)/2 uncorrelated sources unambiguously. Constructive procedures are developed to evaluate integer locations for an array of given sensors that span a prescribed distance, such that any missing integer is expressible as the difference of two sensor locations. New upper bounds for the ratio of the square of the minimum number of elements to the spanning distance are also established.

Original language | English (US) |
---|---|

Pages (from-to) | 1280-1284 |

Number of pages | 5 |

Journal | IEEE Transactions on Information Theory |

Volume | 36 |

Issue number | 6 |

DOIs | |

State | Published - Nov 1990 |

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### ASJC Scopus subject areas

- Information Systems
- Electrical and Electronic Engineering

### Cite this

*IEEE Transactions on Information Theory*,

*36*(6), 1280-1284. https://doi.org/10.1109/18.59928

**An algorithm for near-optimal placement of sensor elements.** / Pearson, David; Pillai, Unnikrishna; Lee, Youngjik.

Research output: Contribution to journal › Article

*IEEE Transactions on Information Theory*, vol. 36, no. 6, pp. 1280-1284. https://doi.org/10.1109/18.59928

}

TY - JOUR

T1 - An algorithm for near-optimal placement of sensor elements

AU - Pearson, David

AU - Pillai, Unnikrishna

AU - Lee, Youngjik

PY - 1990/11

Y1 - 1990/11

N2 - An important question in array design is that of where to place the elements of a sparse array for optimal performance in terms of its ability to detect and resolve a greater number of sources than conventionally possible. In particular, it has been shown that when sensor elements are arranged in the minimum redundancy fashion, by performing an augmentation technique on the covariances obtained from the array outputs, an M element array can be made to estimate the directions of arrival of as many as M(M - 1)/2 uncorrelated sources unambiguously. Constructive procedures are developed to evaluate integer locations for an array of given sensors that span a prescribed distance, such that any missing integer is expressible as the difference of two sensor locations. New upper bounds for the ratio of the square of the minimum number of elements to the spanning distance are also established.

AB - An important question in array design is that of where to place the elements of a sparse array for optimal performance in terms of its ability to detect and resolve a greater number of sources than conventionally possible. In particular, it has been shown that when sensor elements are arranged in the minimum redundancy fashion, by performing an augmentation technique on the covariances obtained from the array outputs, an M element array can be made to estimate the directions of arrival of as many as M(M - 1)/2 uncorrelated sources unambiguously. Constructive procedures are developed to evaluate integer locations for an array of given sensors that span a prescribed distance, such that any missing integer is expressible as the difference of two sensor locations. New upper bounds for the ratio of the square of the minimum number of elements to the spanning distance are also established.

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U2 - 10.1109/18.59928

DO - 10.1109/18.59928

M3 - Article

AN - SCOPUS:0025521224

VL - 36

SP - 1280

EP - 1284

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 6

ER -