Transient signal detection using unitary transformations

Abstract

This paper examines the application of axis warping functions, a class of unitary transformation on the space of finite-energy signals, in detection of transient signals. Many signals associated with rotating machinery subjected to time-varying mechanical loading, speed changes, or motion relative to a sensor are well modeled by sinusoids transformed by this type of warping. This observation provides a new perspective on detection of an important class of transient signals.