Standardized sine-wave fitting algorithms, extensions and applications
2003 (English)In: Northern Light Workshop on Sensors, Signals and Systems, Björkliden, Sverige, April 7-9, 2003, 2003Conference paper (Refereed)
The objective of this paper is to present the statistical properties of the IEEE-STD-1057/IEEE-STD-1241 sine-wave fitting algorithms. The proper Cramér-Rao bound is derived for both the three-parameter and four-parameter algorithms. Further, we investigate the residual, and derive its statistical properties, in both the three- and four-parameter fitting case. In a practical setup were the frequency is almost known, we derive an analytical expression for the mean of the residual. By analysis we compare the two methods and state in which case one should use one over the other. Finally, we present some numerical evaluations confirming our analytical findings.
Place, publisher, year, edition, pages
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-44267OAI: oai:DiVA.org:kth-44267DiVA: diva2:450607
Accepted paper, Conference cancelled.
QC 201110262011-10-262011-10-202011-11-21Bibliographically approved