Audio compression based on sine-crossing representations of signals
Michael L. Hilton, Prasanjit Panda · The Journal of the Acoustical Society of America · 1995
The sampling theorem of Bar-David [J. Bar-David, Info. Control 24, 36–44 (1974)] provides an implicit representation of bandlimited signals using their crossings with a sine function. This sine function is chosen in a way that guarantees a unique representation of the signal. On a finite signal, this leads to a multiplicative representation involving a Riesz product whose roots form the representation of the original signal. These roots can be encoded to provide high-quality, near lossless audio compression. The sine crossing representation can also be combined with the wavelet transform to provide further compression. [Work supported by ONR.]