Computing Derivatives of Noisy Signals Using Orthogonal Functions Expansions

In many applications noisy signals are measured. These signals has to be filtered and, sometimes, their derivative have to be computed. In this paper a method for filtering the signals and computing the derivatives is presented. This method is based on expansion onto transformed Legender polynomials. Numerical examples demonstrates the efficacy of the method as well as the theoretical estimates.

• Type: Journal
• Year: 2008
• Where: JSCIC
• Authors: Adi Ditkowski, Abhinav Bhandari, Brian W. Sheldon
• Keywords: Applications Noisy Signals, JSCIC 2008, Legender Polynomials, Numerical Examples