Title :
A novel interpretation of Prony´s method
Author :
Pitstick, G.M. ; Cruz, J.R. ; Mulholland, R.J.
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Oklahoma Univ., Norman, OK, USA
fDate :
8/1/1988 12:00:00 AM
Abstract :
The two key steps in Prony´s method are interpreted as two key approximation problems. In the first, a nonhomogeneous, constant coefficient, linear difference equation is fitted to the samples. This difference equation is fitted so that the nonhomogeneous part of the difference equation is minimized in the least-squares sense. For the second problem, a homogeneous solution to the difference equation is obtained that minimizes the particular solution. This homogeneous solution is used to approximate the general solution
Keywords :
difference equations; least squares approximations; Prony´s method; approximation problems; homogeneous solution; interpretation; key steps; linear difference equation; nonhomogeneous part; Acceleration; Algebra; Difference equations; Electromagnetic fields; Geometry; Maxwell equations; Network address translation; Permittivity; Tensile stress;
Journal_Title :
Proceedings of the IEEE
