Block Iterative Reweighted Algorithms for Super-Resolution of Spectrally Sparse Signals

Myung Cho, Kumar Vijay Mishra, Jian Feng Cai, Weiyu Xu

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


We propose novel algorithms that enhance the performance of recovering unknown continuous-valued frequencies from undersampled signals. Our iterative reweighted frequency recovery algorithms employ the support knowledge gained from earlier steps of our algorithms as block prior information to enhance frequency recovery. Our methods improve the performance of the atomic norm minimization which is a useful heuristic in recovering continuous-valued frequency contents. Numerical results demonstrate that our block iterative reweighted methods provide both better recovery performance and faster speed than other known methods.

Original languageEnglish (US)
Article number7268862
Pages (from-to)2319-2323
Number of pages5
JournalIEEE Signal Processing Letters
Issue number12
StatePublished - Dec 1 2015

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics


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