A structured random matrix ensemble that maintains constant modulus entries and unit-norm columns, often called a random phase-rotated (RPR) matrix, is considered in this paper. We analyze the coherence statistics of RPR measurement matrices and apply them to acquire probabilistic performance guarantees of orthogonal matching pursuit (OMP) for support detection (SD). It is revealed via numerical simulations that the SD performance guarantee provides a tight characterization, especially when the signal is sparse.
IEEE Signal Processing Letters
- Pub Date:
- November 2019
- Electrical Engineering and Systems Science - Signal Processing;
- Computer Science - Information Theory
- Accepted for publication in the IEEE Signal Processing Letters