Sample complexity trade-offs for synthetic aperture based high-resolution estimation and detection
ID:93 View Protection:ATTENDEE Updated Time:2020-08-05 10:17:28 Hits:377 Oral Presentation

Start Time:2020-06-08 15:20(Asia/Shanghai)


Session:S Special Session » SS09Aperture Extension And Synthetic Techniques For High-Resolution Detection And Estimation

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This paper critically examines the potential performance benefits offered by motion of sparse arrays for direction-of-arrival (DOA) estimation. The motivation behind utilizing array motion is to increase the number of consecutive difference lags. However, creating a synthetic array also requires more temporal measurements compared to the static (non-synthetic) array. For the first time, we rigorously analyze the trade-off between the required number of temporal samples and the length of the difference co-array to understand when synthetic arrays offer distinct advantages. As a concrete result, we show that if the ratio of the number of consecutive lags of the difference coarray of sparse arrays with and without motion is above a universal threshold, the synthetic array outperforms its non-synthetic counterpart and has a smaller estimation error. Our claims are demonstrated both theoretically and through numerical experiments.
Sparse Array; Difference Co-Array; Array Motion; Synthetic Array; Sample Complexity Trade-Off
Heng Qiao
University of California, San Diego, USA

Submission Author
Heng Qiao University of California, San Diego, USA
Pulak Sarangi University of California, San Diego, USA
Yazeed Alnumay University of California, San Diego, USA
Piya Pal University of California, San Diego, USA
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