๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Frequency Estimation from Few Measurements

โœ Scribed by Ronald M. Adelson

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
130 KB
Volume
7
Category
Article
ISSN
1051-2004

No coin nor oath required. For personal study only.

โœฆ Synopsis

A formula is given whereby the frequency, amplitude and phase of a sinewave signal can be obtained from three equally spaced samples. The performance of the frequency estimator is investigated when the signal is corrupted by noise, and algorithms developed which use additional samples to improve the results. It is shown that even under noisy conditions it is possible to obtain a good estimate of frequency using samples taken over a period of less than one cycle. The results are confirmed and amplified by computer simulation.

๐Ÿ“œ SIMILAR VOLUMES

Single qubit estimation from repeated un
Single qubit estimation from repeated unsharp measurements
โœ L. Diรณsi ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 89 KB

## Abstract When estimating an unknown single pure qubit state, the optimum fidelity is 2/3. As it is well known, the value 2/3 can be achieved in one step, by a single ideal measurement of the polarization along a random direction. I analyze the opposite strategy which is the long sequence of unsh