Sparse Signal Recovery from a Mixture of Linear and Magnitude-Only Measurements.

Published

Journal Article

We consider the problem of exact sparse signal recovery from a combination of linear and magnitude-only (phaseless) measurements. A k-sparse signal x ∈ ℂ n is measured as r = Bx and y = |Cx|, where B ∈ ℂ m1×n and C ∈ ℂ m2×n are measurement matrices and | · | is the element-wise absolute value. We show that if max(2m1, 1) + m2 ≥ 4k - 1, then a set of generic measurements are sufficient to recover every k-sparse x exactly, establishing the trade-off between the number of linear and magnitude-only measurements.

Full Text

Duke Authors

Cited Authors

  • Akçakaya, M; Tarokh, V

Published Date

  • September 2015

Published In

Volume / Issue

  • 22 / 9

Start / End Page

  • 1220 - 1223

PubMed ID

  • 29187781

Pubmed Central ID

  • 29187781

Electronic International Standard Serial Number (EISSN)

  • 1558-2361

International Standard Serial Number (ISSN)

  • 1070-9908

Digital Object Identifier (DOI)

  • 10.1109/lsp.2015.2393295

Language

  • eng