DocumentCode
3005557
Title
Approximation error for the estimation of a continuous unknown deterministic signal in noise from discrete time samples
Author
Ludeman, L.C.
Author_Institution
New Mexico State University, Las Cruces, New Mexico
fYear
1974
fDate
20-22 Nov. 1974
Firstpage
104
Lastpage
105
Abstract
The approximation of a continuous unknown deterministic function from samples of the function imbedded in noise is considered. Using the integral mean squared error criterion, the total approximation error composed of a deterministic and random part is found for the step function, straight line, and cubic spline approximations. It is shown for a gaussian function that if the noise variances are equal and larger than a specified threshold, then the straight line approximation is superior to the spline approximation while both spline and straight line approximations were always better than the step function approximation.
Keywords
Approximation error; Computer errors; Estimation error; Function approximation; Gaussian noise; Interpolation; Joining processes; Missiles; Spline; State estimation;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control including the 13th Symposium on Adaptive Processes, 1974 IEEE Conference on
Conference_Location
Phoenix, AZ, USA
Type
conf
DOI
10.1109/CDC.1974.270410
Filename
4045203
Link To Document