Adaptive threshold generation using interval models: Time versus frequency domain approaches

In this paper, adaptive threshold generation using interval models is analysed in time and frequency domains. In time domain, the optimal threshold is generated through determining the worst-case time evolution of the residual´s energy, while in the frequency domain this worst-case evolution is determined by means of the evaluation of the worst-case evolution of the residual´s spectral contents. Both results will be related through the Paserval´s Theorem. Finally, a common application will be used to assess the validity of both approaches and check the validity of the derived results.