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 values of filter states after one or more operations were performed on a previous frame of a normalized signal, and wherein the normalization factor also depends on a normalization factor for the previous frame; 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.