1. An apparatus that is configured for dynamic normalization to reduce loss in precision for low-level signals, comprising: a processor; memory in electronic communication with the processor; and instructions stored in the memory, the instructions being executable to: determine a normalization factor for a current frame of a signal, wherein the normalization factor depends on an amplitude of the current frame of the signal, and wherein the normalization factor also depends on non-linear values of states after one or more operations were performed on a previous frame of a normalized signal; normalize the current frame of the signal based on the normalization factor that is determined; and adjust the states' normalization factor based on the normalization factor that is determined.