1. A system configured to propagate edits through a video, the system comprising: one or more physical processors configured by machine-readable instructions to: obtain decompositions of information defining frame images of a video, individual decompositions including individual sets of sinusoidal functions, individual sinusoidal functions in the individual sets of sinusoidal functions being separated into individual frequency bands, individual sinusoidal functions within an individual frequency band having amplitude information and phase information, the decompositions including a first decomposition of a first frame image, a second decomposition of an edited version of the first frame image, and a third decomposition of a second frame image; identify, from the first decomposition and the second decomposition, one or more frequency bands that convey differences between the first frame image and the edited first frame image; identify, from the one or more frequency bands that convey differences between the first frame image and the edited first frame image, a subset of the one or more frequency bands that convey motion information associated with the first frame image and the second frame image; determine, from sinusoidal functions of the first decomposition and third decomposition that are included in the subset of the one or more frequency bands, the motion information; and propagate phase information of individual sinusoidal functions of the second decomposition that are included in the subset of the one or more frequency bands based on the motion information.