Sparse Frequencies Extracting from Partial Phase-Only Measurements

This paper considers a robust recovery of sparse frequencies from partial phase-only measurements. With the proposed method, sparse frequencies can be reconstructed, which makes full use of the sparse distribution in the Fourier representation of the complex-valued time signal. Simulation experiments illustrate the proposed method’s advantages over conventional methods in both noiseless and additive white Gaussian noise cases. Keywords—Sparse signal recovery, phase-only measurements, Compressive sensing, convex relaxation.