Michael L. Hilton
Dept. of Comput. Sci., The Univ. of South Carolina, Columbia, SC 29208
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.]
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