Sparse Signal Recovery from a Mixture of Linear and Magnitude-Only Measurements.
Publication
, Journal Article
Akçakaya, M; Tarokh, V
Published in: IEEE signal processing letters
September 2015
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.
Duke Scholars
Published In
IEEE signal processing letters
DOI
EISSN
1558-2361
ISSN
1070-9908
Publication Date
September 2015
Volume
22
Issue
9
Start / End Page
1220 / 1223
Related Subject Headings
- Networking & Telecommunications
- 4603 Computer vision and multimedia computation
- 4009 Electronics, sensors and digital hardware
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing
Citation
APA
Chicago
ICMJE
MLA
NLM
Akçakaya, M., & Tarokh, V. (2015). Sparse Signal Recovery from a Mixture of Linear and Magnitude-Only Measurements. IEEE Signal Processing Letters, 22(9), 1220–1223. https://doi.org/10.1109/lsp.2015.2393295
Akçakaya, Mehmet, and Vahid Tarokh. “Sparse Signal Recovery from a Mixture of Linear and Magnitude-Only Measurements.” IEEE Signal Processing Letters 22, no. 9 (September 2015): 1220–23. https://doi.org/10.1109/lsp.2015.2393295.
Akçakaya M, Tarokh V. Sparse Signal Recovery from a Mixture of Linear and Magnitude-Only Measurements. IEEE signal processing letters. 2015 Sep;22(9):1220–3.
Akçakaya, Mehmet, and Vahid Tarokh. “Sparse Signal Recovery from a Mixture of Linear and Magnitude-Only Measurements.” IEEE Signal Processing Letters, vol. 22, no. 9, Sept. 2015, pp. 1220–23. Epmc, doi:10.1109/lsp.2015.2393295.
Akçakaya M, Tarokh V. Sparse Signal Recovery from a Mixture of Linear and Magnitude-Only Measurements. IEEE signal processing letters. 2015 Sep;22(9):1220–1223.
Published In
IEEE signal processing letters
DOI
EISSN
1558-2361
ISSN
1070-9908
Publication Date
September 2015
Volume
22
Issue
9
Start / End Page
1220 / 1223
Related Subject Headings
- Networking & Telecommunications
- 4603 Computer vision and multimedia computation
- 4009 Electronics, sensors and digital hardware
- 4006 Communications engineering
- 1005 Communications Technologies
- 0906 Electrical and Electronic Engineering
- 0801 Artificial Intelligence and Image Processing