The phase retrieval problem involves recovering a signal from the magnitude of its measurements, without knowledge of its phase. Motivated by recent investigations in the field of phase retrieval and frame theory in Hilbert spaces, we provide a characterization of the problem of phase retrieval frames in Euclidean space Rm. The study focuses on the case where the signal and the measurements are both real-valued providing a comprehensive overview of phase retrieval frames. We derive specific forms of phase retrieval. Additionally, the general form of dual phase retrieval frames in Rm is analyzed and a complete description of phase retrieval dual frames is given. Furthermore, we confirm the efficiency of reconstruction using phase retrieval frames by performing numerical examples.

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