Sparse phase retrieval via lp (0 < p ≤ 1) minimization

Authors：Cao, Manxia; Huang, Wei^*

Source：International Journal of Wavelets Multiresolution and Information Processing, 2022, 20(01): 2150034.

DOI：10.1142/S021969132150034X

• Phase retrieval
• l(p)-minimization
• restricted isometry property

In this paper, the l(1)-analysis model for the phase retrieval problem of sparse unknown signals in the redundant. dictionary is extended to the l(p)-analysis model, where 0 < p <= 1. It's shown that if the measurement matrix A satisfies the strong restricted isometry property adapted to D (S-DRIP) condition, the unknown signal x can be stably recovered by analyzing the l(p) (0 < p <= 1) minimization model.