Abstract: Frame theory is widely used in data analysis and signal processing fields. The frame coefficients are usually redundant, which makes it possible to recover the original signal after some frame coefficients are lost. In this talk, we will discuss the feasibility and smoothness of recovering finite-dimensional signals from partially disordered and phaseless disordered frame coefficients. We propose a self-located robust frames and a real phase retrievable frames. Among them, the self-located robust frames ensure that the signal can be recovered smoothly from partial noisy disordered frame coefficients, and the real phase retrievable frames ensure that all real finite-dimensional signals can be recovered from  partial phaseless disordered frame coefficients up to a sign. We will also give several characterizations and constructions of these two types of frames.