Cramer-Rao Bounds for Wideband Signal Parameters Joint Estimation in Ionospheric Frequency Dispersion Distortion Conditions

V. I. Lipatkin, E. M. Lobov, E. O. Lobova, N. A. Kandaurov

20212021 Systems of Signals Generating and Processing in the Field of on Board Communications26 citationsDOI

Abstract

Analytical expressions for the Cramer-Rao boundaries are obtained in the article when jointly evaluating a set of parameters for a broadband ionospheric-distorted signal of an arbitrary shape, namely: the steepness of the dispersion characteristic, Doppler frequency shift, delay and phase shift. The corresponding expressions for covariance functions and correlation coefficients are obtained. It is shown that the presence of dispersion distortions leads to additional, previously absent, statistical relationships of estimates of signal parameters. The correctness of analytical expressions is confirmed by the results of simulation. The reported study was funded by RFBR, project number 19-29-06055.

Topics & Concepts

Cramér–Rao boundCovarianceWidebandSIGNAL (programming language)Dispersion (optics)IonosphereDistortion (music)MathematicsEstimation theoryAlgorithmMathematical analysisPhysicsStatisticsComputer scienceTelecommunicationsOpticsBandwidth (computing)Programming languageAmplifierAstronomyAdvanced Signal Processing TechniquesAdvanced Research in Systems and Signal ProcessingRadar Systems and Signal Processing