IEEE standard 1057, Cramér-Rao bound and the parsimony principle

• Abstract:

  The objective of this paper is to present the statistical properties of the IEEE-STD-1057/IEEE-STD-1241 sine-wave fitting algorithm. The proper Cramér- Rao bound is derived for both the three-parameter and four-parameter fitting algorithms. Further, we investigate the sine-wave fitting criterion, and derive its statistical properties on both the three- and four-parameter fitting cases. In a setup where the frequency is partially known, an analytical expression of the mean of the residual is derived. From the analysis, a simple formula is obtained indicating when to use one over the other. Finally some numerical evaluations confirming our analytical findings are presented.
• Keywords:

  sine-wave fitting, ADC testing, parsimony principle
• Download:

  IMEKO-IWADC-2003-56.pdf
• DOI:

  _unreg_iwadc-2003.56

Event details:

• IMEKO TC:

  TC4
• Event name:

  IWADC 2003
• Title:

  VIIIth IMEKO TC4 Workshop on ADC modelling and testing

• Place:

  Perugia, ITALY
• Time:

  8 September 2003 - 10 September 2003