Accession Number : ADA113770

Title :   Fourier Transform Reconstruction from Inexact Data.

Descriptive Note : Interim rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s) : Byrne,C L ; Fitzgerald,R M

PDF Url : ADA113770

Report Date : 15 Apr 1982

Pagination or Media Count : 11

Abstract : Methods for the linear reconstruction of Fourier transforms based on approximation-theoretic techniques are extended to the case of imprecise samples. Statistics of these estimators in the presence of random noise are calculated, and the special case of sinusoids in noise is discussed. Biased estimates of sinusoid amplitudes are obtained and related to the best linear unbiased estimates (BLUE). (Author)

Descriptors :   *Fourier transformation, Extrapolation, Estimates, Approximation(Mathematics), Bias, Analysis of variance, Samplers, Noise, Amplitude, Stationary, Sine waves

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE