Parametric sound reproduction in high-intensity audio signaling, for example in hailing and warning at relatively large distances, is disclosed in one example by producing a primary audio signal in the audio frequency range, and producing a secondary audio signal in the audio frequency range by modulation of the primary audio signal, wherein the primary signal is chosen to enable an improved effect, for example one of directional reproduction, exploiting greater sensitivity of human hearing, exploiting an efficient or maximum intensity frequency range of a transducer used to reproduce the audio signals, and another parameter effecting distance, intelligibility, or intensity of an audio signal.