Energy spreading and data compression using the Prometheus Orthonormal Set

The Prometheus Orthonormal Set (PONS/sup TM/) can be effectively used to compress all common digital audio signals. This compression method is effective because of two fundamental properties, computational simplicity and energy spreading. Although there exist other transform coding methods, such as Walsh-Hadamard, which give compression while limiting the computational burden, we believe that the energy spreading feature of PONS is unique. We express this feature in precise mathematical terms and indicate how it is helpful for compression.