Non-circular signals for nested array: sum–difference co-array and direction of arrival estimation algorithm
Nested array has aroused remarkable attention due to the capability to obtain both enhanced degrees of freedom (DOFs) and enlarged array aperture, whereas only difference co-array is employed. Here, the authors construct the sum co-array of nested array by utilising the non-circular (NC) characteris...
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          | Published in | IET radar, sonar & navigation Vol. 14; no. 1; pp. 27 - 35 | 
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| Main Authors | , , , , | 
| Format | Journal Article | 
| Language | English | 
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            The Institution of Engineering and Technology
    
        01.01.2020
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| Online Access | Get full text | 
| ISSN | 1751-8784 1751-8792 1751-8792  | 
| DOI | 10.1049/iet-rsn.2019.0111 | 
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| Abstract | Nested array has aroused remarkable attention due to the capability to obtain both enhanced degrees of freedom (DOFs) and enlarged array aperture, whereas only difference co-array is employed. Here, the authors construct the sum co-array of nested array by utilising the non-circular (NC) characteristic and, subsequently, the sum–difference (SD) co-array is obtained by careful crafting of the sum co-array and the typical difference co-array, which doubles the resulting co-array aperture and, simultaneously, further increases the achievable DOF compared with the difference co-array of nested array. Moreover, to circumvent the time-consuming two-dimensional spectral search, the authors proposed the reduced-dimension multiple signals classification (MUSIC) algorithm with the SD (SD-RD-MUSIC) co-array of the nested array by discarding the NC phase. Resultantly, the proposed SD-RD-MUSIC co-array algorithm can resolve more signals and obtain more accurate direction of arrival estimates. In addition, the effectiveness and superiority of the proposed method are validated by numerical simulations. | 
    
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| AbstractList | Nested array has aroused remarkable attention due to the capability to obtain both enhanced degrees of freedom (DOFs) and enlarged array aperture, whereas only difference co‐array is employed. Here, the authors construct the sum co‐array of nested array by utilising the non‐circular (NC) characteristic and, subsequently, the sum–difference (SD) co‐array is obtained by careful crafting of the sum co‐array and the typical difference co‐array, which doubles the resulting co‐array aperture and, simultaneously, further increases the achievable DOF compared with the difference co‐array of nested array. Moreover, to circumvent the time‐consuming two‐dimensional spectral search, the authors proposed the reduced‐dimension multiple signals classification (MUSIC) algorithm with the SD (SD‐RD‐MUSIC) co‐array of the nested array by discarding the NC phase. Resultantly, the proposed SD‐RD‐MUSIC co‐array algorithm can resolve more signals and obtain more accurate direction of arrival estimates. In addition, the effectiveness and superiority of the proposed method are validated by numerical simulations. | 
    
| Author | Xiaofei, Zhang Jinqing, Shen Yi, He Xiangrui, Dai Yunfei, Wang  | 
    
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| Keywords | enhanced degrees of freedom sum co-array reduced-dimension multiple signals classification direction-of-arrival estimation sum–difference co-array MUSIC algorithm nested array enlarged array aperture signal classification SD-RD-MUSIC co-array algorithm typical difference co-array noncircular signals co-array aperture direction of arrival estimation co-array algorithm array signal processing DOA estimation algorithm two-dimensional spectral search  | 
    
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| SubjectTerms | array signal processing co‐array algorithm co‐array aperture direction of arrival estimation DOA estimation algorithm enhanced degrees of freedom enlarged array aperture MUSIC algorithm nested array noncircular signals reduced‐dimension multiple signals classification Research Article SD‐RD‐MUSIC co‐array algorithm signal classification sum co‐array sum–difference co‐array two‐dimensional spectral search typical difference co‐array  | 
    
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| Title | Non-circular signals for nested array: sum–difference co-array and direction of arrival estimation algorithm | 
    
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