An Analysis of the Noise Stability of Methods Used in Measurements of Distances by a Frequency-Based Range Finder

Abstract

Analytic relationships for the errors that arise in measurements of the frequency of a harmonic signal of limited duration against a noise background with the use of spectral estimation of frequency and the weighted frequency averaging method are presented. Equality of the minimally attainable values of the error for both methods with equality of the asymptotic rate of decrease of the side lobes of the error envelope is demonstrated.