An algorithm for near-optimal placement of sensor elements

Pearson, David; Pillai, S.U.; Lee, Y.

doi:10.1109/18.59928

Cited by 68 publications

(47 citation statements)

References 8 publications

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“…A couple of remarks about the results are in place. First, the asymptotic redundancy of the WA is consistent with the value A ∞ = 3 = 2R ∞ reported in [10], [14], [15]. The NA and SNA are approximately 33% more redundant than the WA.…”

Section: E Asymptotic Resultssupporting

confidence: 69%

“…Unfortunately, the obtained expressionL = N (3N − 2)/8 + 1 ( · is the floor operator) was later shown not to hold for N ≥ 12 in [15], [16]. Although the optimal aperture or number of elements of the MRA are unknown, asymptotic limits on the redundancy of restricted difference bases are known.…”

Section: A Minimum-redundancy Arraymentioning

confidence: 99%

“…Alternatively, the ratio A = N 2 /L is sometimes used as a measure of redundancy [10], [13]- [15]. It follows from Eq.…”

Section: B Difference Co-arraymentioning

confidence: 99%

“…The pattern was later rediscovered independently in the context of MRAs in [10], [15]. The inter-element spacings of the WA can be expressed as [10]:…”

Section: ) Wichmann Array (Wa)mentioning

confidence: 99%

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Comparison of sparse sensor array configurations with constrained aperture for passive sensing

Rajamäki

Koivunen

2017

2017 IEEE Radar Conference (RadarConf)

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Abstract-Sparse sensor arrays can match the performance of fully populated arrays in many tasks, such as direction-of-arrival estimation, using substantially fewer elements. However, finding the sparse array configuration that uses the smallest number of elements is generally a hard problem. Consequently, several closed-form, but sub-optimal solutions have been developed in the past. These designs are typically specified for a given number of elements, although when the area occupied by the array is the main limitation, it is more convenient to compare arrays of similar aperture instead. This paper outlines procedures for synthesizing three sparse linear array geometries for a specified aperture, namely the Wichmann, Nested and Super nested array. These configurations are compared to the optimal Minimumredundancy array and their deviation from optimality is quantified in the limit of large apertures.

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Section: E Asymptotic Resultssupporting

confidence: 69%

Section: A Minimum-redundancy Arraymentioning

confidence: 99%

“…Alternatively, the ratio A = N 2 /L is sometimes used as a measure of redundancy [10], [13]- [15]. It follows from Eq.…”

Section: B Difference Co-arraymentioning

confidence: 99%

“…The pattern was later rediscovered independently in the context of MRAs in [10], [15]. The inter-element spacings of the WA can be expressed as [10]:…”

Section: ) Wichmann Array (Wa)mentioning

confidence: 99%

See 2 more Smart Citations

Comparison of sparse sensor array configurations with constrained aperture for passive sensing

Rajamäki

Koivunen

2017

2017 IEEE Radar Conference (RadarConf)

View full text Add to dashboard Cite

show abstract

“…This pattern was originally discovered by Wichman [1963] in the early 1960's and also found by Pearson et al [1990] and Linebarger et al [1993] later. Proofs that this expression yields an array with no missing spacings are found in [Miller, 1971;Pearson et al, 1990]. The pattern can be shown to produce arrays such that…”

Section: Minimum Redundancy Linear Arraysmentioning

confidence: 87%