Discrete scale transform for signal analysis

Abstract

The scale transform introduced by Cohen (see IEEE Trans. Signal Processing, vo1.41, p.3275-3292, December 1993) is a special case of the Mellin transform. The scale transform has mathematical properties desirable for comparison of signals for which scale variation occurs. In addition to the scale invariance property of the Mellin transform many properties specific to the scale transform have been presented. A procedure is presented for complete implementation of the scale transformation for discrete signals. This complements discrete Mellin transforms and delineates steps whose implementation are specific to the scale transform.