1. Estimation of the Arrival Time and Duration of a Radio Signal with Unknown Amplitude and Initial Phase
- Author
-
Andrey P. Trifonov, S. V. Korol’kov, and Yu. E. Korchagin
- Subjects
Physics ,Estimation ,Nuclear and High Energy Physics ,Correlation coefficient ,Astronomy and Astrophysics ,Statistical and Nonlinear Physics ,Arrival time ,Electronic, Optical and Magnetic Materials ,Amplitude ,Duration (music) ,Radio signal ,Initial phase ,A priori and a posteriori ,Electrical and Electronic Engineering ,Algorithm - Abstract
We synthesize the quasi-likelihood, maximum-likelihood, and quasioptimal algorithms for estimating the arrival time and duration of a radio signal with unknown amplitude and initial phase. The discrepancies between the hardware and software realizations of the estimation algorithm are shown. The characteristics of the synthesized-algorithm operation efficiency are obtained. Asymptotic expressions for the biases, variances, and the correlation coefficient of the arrival-time and duration estimates, which hold true for large signal-to-noise ratios, are derived. The accuracy losses of the estimates of the radio-signal arrival time and duration because of the a priori ignorance of the amplitude and initial phase are determined.
- Published
- 2018
- Full Text
- View/download PDF