DocumentCode :
417702
Title :
Quantitative L2 approximation error of a probability density estimate given by its samples
Author :
Blu, Thierry ; Unser, Michael
Author_Institution :
Biomed. Imaging Group, Swiss Fed. Inst. of Technol., Lausanne, Switzerland
Volume :
3
fYear :
2004
fDate :
17-21 May 2004
Abstract :
We present a new result characterized by an exact integral expression for the approximation error between a probability density and an integer shift invariant estimate obtained from its samples. Unlike the Parzen window estimate, this estimate avoids recomputing the complete probability density for each new sample - only a few coefficients are required, making it practical for real-time applications. We also show how to obtain the exact asymptotic behavior of the approximation error when the number of samples increases and provide the trade-off between the number of samples and the sampling step size.
Keywords :
approximation theory; parameter estimation; probability; signal sampling; Parzen window estimate; exact asymptotic behavior; exact integral expression; integer shift invariant estimation; probability density estimation; quantitative approximation error; signal sampling step size; Approximation error; Biomedical imaging; Filtering; Image sampling; Kernel; Noise reduction; Nonlinear filters; Pattern recognition; Random variables; Size control;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on
ISSN :
1520-6149
Print_ISBN :
0-7803-8484-9
Type :
conf
DOI :
10.1109/ICASSP.2004.1326704
Filename :
1326704
Link To Document :
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