Filtering Error Estimates and Order of Accuracy via the Peano Kernel Theorem
Journal Article
·
· Computer Standards and Interfaces
The Peano Kernel Theorem is introduced and a frequency domain derivation is given. It is demonstrated that the application of this theorem yields simple and accurate formulas for estimating the error introduced into a signal by filtering it to reduce noise. The concept of the order of accuracy of a filter is introduced and used as an organizing principle to compare the accuracy of different filters.
- Research Organization:
- National Security Technologies, LLC (United States)
- Sponsoring Organization:
- USDOE; USDOE National Nuclear Security Administration (NA)
- DOE Contract Number:
- DE-AC52-06NA25946
- OSTI ID:
- 993436
- Report Number(s):
- DOE/NV/25946-611; TRN: US201024%%292
- Journal Information:
- Computer Standards and Interfaces, Vol. 33, Issue 2
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
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