### Abstract

Given a certain transmission frequency, the Shannon spatial sampling limit defines an upper bound for the antenna element spacing. Beyond this bound, the exceeded ambiguity avoids correct estimation of the signal parameters (i.e., array manifold crossing). In this survey, the problem of simultaneous signal and direction-of-arrival (DOA) estimation of broadband sources is addressed when the element spacing of a uniform array antenna (uniform linear array (ULA)) is inordinate. It is illustrated that one can resolve the aliasing ambiguity by utilizing the inherent frequency diversity of the broadband sources. An algorithm based on maximum likelihood estimation (MLE) has been developed to estimate the transmitted data signal and the DOA of each source. Through confirmatory simulation, it is shown that the performance gain of the proposed setup is potentially significant, specifically under a low signal-to-noise ratio (SNR) and when the transmitters are closely spaced. This relaxes the stringent maximum element-spacing constraint of ULAs pertinent to the upper-bound frequency of transmission and suggests that the element spacing - which in practical applications results in detrimental element coupling - can be conveniently increased, in particular under wide transmission spectrum and low SNR (e.g., license-free communication). A method similar to the frequency hopping approach (i.e., subband hopping) is utilized for the problem of source associations and identification. In the sequel, a suboptimal subspace-based algorithm is proposed and its performance is investigated. An approximate expression for the estimation error has also been developed to gauge the behavior of the proposed setup.

Original language | English |
---|---|

Pages (from-to) | 17-39 |

Number of pages | 23 |

Journal | Circuits, Systems, and Signal Processing |

Volume | 28 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2009 |

Externally published | Yes |

### Fingerprint

### Keywords

- Array signal processing
- Direction-of-arrival estimation
- Maximum likelihood estimation
- Uniform linear arrays

### ASJC Scopus subject areas

- Signal Processing
- Applied Mathematics

### Cite this

**Incoherent DOA estimation in uniform antenna arrays with inordinate spacing using a subband hopping approach.** / Shapoury, Alireza; Serpedin, Erchin.

Research output: Contribution to journal › Article

*Circuits, Systems, and Signal Processing*, vol. 28, no. 1, pp. 17-39. https://doi.org/10.1007/s00034-008-9069-0

}

TY - JOUR

T1 - Incoherent DOA estimation in uniform antenna arrays with inordinate spacing using a subband hopping approach

AU - Shapoury, Alireza

AU - Serpedin, Erchin

PY - 2009

Y1 - 2009

N2 - Given a certain transmission frequency, the Shannon spatial sampling limit defines an upper bound for the antenna element spacing. Beyond this bound, the exceeded ambiguity avoids correct estimation of the signal parameters (i.e., array manifold crossing). In this survey, the problem of simultaneous signal and direction-of-arrival (DOA) estimation of broadband sources is addressed when the element spacing of a uniform array antenna (uniform linear array (ULA)) is inordinate. It is illustrated that one can resolve the aliasing ambiguity by utilizing the inherent frequency diversity of the broadband sources. An algorithm based on maximum likelihood estimation (MLE) has been developed to estimate the transmitted data signal and the DOA of each source. Through confirmatory simulation, it is shown that the performance gain of the proposed setup is potentially significant, specifically under a low signal-to-noise ratio (SNR) and when the transmitters are closely spaced. This relaxes the stringent maximum element-spacing constraint of ULAs pertinent to the upper-bound frequency of transmission and suggests that the element spacing - which in practical applications results in detrimental element coupling - can be conveniently increased, in particular under wide transmission spectrum and low SNR (e.g., license-free communication). A method similar to the frequency hopping approach (i.e., subband hopping) is utilized for the problem of source associations and identification. In the sequel, a suboptimal subspace-based algorithm is proposed and its performance is investigated. An approximate expression for the estimation error has also been developed to gauge the behavior of the proposed setup.

AB - Given a certain transmission frequency, the Shannon spatial sampling limit defines an upper bound for the antenna element spacing. Beyond this bound, the exceeded ambiguity avoids correct estimation of the signal parameters (i.e., array manifold crossing). In this survey, the problem of simultaneous signal and direction-of-arrival (DOA) estimation of broadband sources is addressed when the element spacing of a uniform array antenna (uniform linear array (ULA)) is inordinate. It is illustrated that one can resolve the aliasing ambiguity by utilizing the inherent frequency diversity of the broadband sources. An algorithm based on maximum likelihood estimation (MLE) has been developed to estimate the transmitted data signal and the DOA of each source. Through confirmatory simulation, it is shown that the performance gain of the proposed setup is potentially significant, specifically under a low signal-to-noise ratio (SNR) and when the transmitters are closely spaced. This relaxes the stringent maximum element-spacing constraint of ULAs pertinent to the upper-bound frequency of transmission and suggests that the element spacing - which in practical applications results in detrimental element coupling - can be conveniently increased, in particular under wide transmission spectrum and low SNR (e.g., license-free communication). A method similar to the frequency hopping approach (i.e., subband hopping) is utilized for the problem of source associations and identification. In the sequel, a suboptimal subspace-based algorithm is proposed and its performance is investigated. An approximate expression for the estimation error has also been developed to gauge the behavior of the proposed setup.

KW - Array signal processing

KW - Direction-of-arrival estimation

KW - Maximum likelihood estimation

KW - Uniform linear arrays

UR - http://www.scopus.com/inward/record.url?scp=58749099093&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58749099093&partnerID=8YFLogxK

U2 - 10.1007/s00034-008-9069-0

DO - 10.1007/s00034-008-9069-0

M3 - Article

AN - SCOPUS:58749099093

VL - 28

SP - 17

EP - 39

JO - Circuits, Systems, and Signal Processing

JF - Circuits, Systems, and Signal Processing

SN - 0278-081X

IS - 1

ER -