Non-coherent direction of arrival estimation from magnitude-only measurements

Haley Kim, Alexander M. Haimovich, Yonina C. Eldar

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


We consider the classical Direction of arrival (DOA) estimation problem in the presence of random sensor phase errors are present at each sensor. To eliminate the effect of these phase errors, we propose a DOA recovery technique that relies only on magnitude measurements. This approach is inspired by phase retrieval for applications in other fields. Ambiguities typically associated with phase retrieval methods are resolved by introducing reference targets with known DOA. The DOA estimation problem is formulated as a nonlinear optimization in a sparse framework, and is solved by the recently proposed GESPAR algorithm modified to accommodate multiple snapshots. Numerical results demonstrate good DOA estimation performance. For example, the probability of error in locating a single target within 2 degrees is less than 0.1 for SNR ≥ 15dB and one snapshot, and negligible for SNR ≥ 10dB and five snapshots.

Original languageEnglish (US)
Article number6975080
Pages (from-to)925-929
Number of pages5
JournalIEEE Signal Processing Letters
Issue number7
StatePublished - Jul 1 2015

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics


  • Direction of arrival
  • phase retrieval
  • sparsity


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