Skip to main content
padlock icon - secure page this page is secure

Nonparametric methods for deconvolving multiperiodic functions

Buy Article:

$52.00 + tax (Refund Policy)


Multiperiodic functions, or functions that can be represented as finite additive mixtures of periodic functions, arise in problems related to stellar radiation. There they represent the overall variation in radiation intensity with time. The individual periodic components generally correspond to different sources of radiation and have intrinsic physical meaning provided that they can be ‘deconvolved’ from the mixture. We suggest a combination of kernel and orthogonal series methods for performing the deconvolution, and we show how to estimate both the sequence of periods and the periodic functions themselves. We pay particular attention to the issue of identifiability, in a nonparametric sense, of the components. This aspect of the problem is shown to exhibit particularly unusual features, and to have connections to number theory. The matter of rates of convergence of estimators also has links there, although we show that the rate-of-convergence problem can be treated from a relatively conventional viewpoint by considering an appropriate prior distribution for the periods.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Keywords: Astronomy; Convergence rate; Folding; Kernel methods; Model identification; Nonparametric curve estimation; Number theory; Orthogonal series methods; Periodic function; Signal analysis; Smoothing; Trigonometric series

Document Type: Research Article

Publication date: November 1, 2003

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more