Marina B. Bespalova

Quazi-likelihood estimation of motion parameters during the target probing with a sequence of optical pulses

Characteristics of quasi-likelihood estimates of the target range, velocity, and acceleration have been obtained during the probing with a sequence of optical pulses. The losses in accuracy of quasi-likelihood estimates as compared with the accuracy of maximum likelihood estimates were also found.

Quasi-likelihood estimate of the arrival time of ultrawideband signal with unknown waveform on exposure to narrow-band interferences

Characteristics of quasi-likelihood estimate of the arrival time of ultrawideband signal with unknown waveform received against the background of narrow-band interferences with unknown parameters and the Gaussian white noise have been investigated.

Effectiveness of Ultra-Wideband Range and Velocity Estimation in Presence of Narrowband Interference

Characteristics of two algorithms for estimating range and velocity are found. The influence of narrowband Gaussian interference on precision of the estimates is analyzed.

The efficiency of ultrawideband detection of target with unknown range and speed in the presence of narrow-band interference

The impact of Gaussian narrow-band interference on characteristics of the receiver synthesized for target detection in the presence of the Gaussian white noise was investigated. The possibility of interference suppression by applying a rejection filter was also considered.

Ultra-wideband simultaneous estimation of range and speed of a fluctuating target

The characteristics of maximum probable range and velocity estimates of a slowly or rapidly fluctuating target are found. The loss in estimation accuracy due to target’s fluctuation is defined.

Amplitude estimation of rectangular narrow-band radio pulse with unknown duration and initial phase

This study investigates algorithms for the estimation of amplitude of the radio signal with rectangular envelope and unknown duration and initial phase. The synthesis and analysis of quasi-likelihood and quasi-coherent estimation algorithm have been performed. This algorithm implies that the unknown duration and initial phase are replaced with certain expected values of these parameters. The loss in accuracy of amplitude estimation owing to the a priori lack of knowledge of the duration and the initial phase is analyzed. The quasi-likelihood noncoherent algorithm for amplitude estimation with the initial phase adaptation is synthesized and its statistical characteristics such as the estimate bias and variance are determined. The relationships of the loss in estimation accuracy owing to the a priori lack of knowledge of signal duration are derived. The maximum likelihood algorithm for amplitude estimation was synthesized and analyzed. This algorithm implies that the unknown duration and the initial phase are replaced with their maximum likelihood estimates. The gain in accuracy of the maximum likelihood estimate as compared to the quasi-likelihood ones was investigated. It is shown that a priori lack of knowledge of the signal duration does not affect asymptotically the accuracy of maximum likelihood estimate of amplitude at large values of signal-to-noise ratio.

Quasi-likelihood estimation of the time parameters of ultrawideband signal sequence of unknown shape under the influence of narrowband interferences

In this article we investigate the characteristics of a quasi-likelihood estimation of the time of arrival and the repetition period of ultrawideband signal of unknown form, which is received on the background of narrowband interferences with unknown parameters and of Gaussian white noise.

Impact of narrowband interference on the threshold characteristics of range and velocity estimates during the probing with a sequence of ultrawideband pulses

Threshold characteristics of two algorithms for the range and velocity estimation under exposure to the Gaussian narrowband interference have been found.

Range estimation of a fluctuating target during the probing with a sequence of rectangular optical pulses

Dispersions of the range estimates have been obtained by using the local Markov approximation method. Losses in the estimate accuracy caused by the target fluctuation were also determined.

Fluctuating target’s velocity estimation during sounding by a sequence of square optical pulses

Dispersions of radial velocity estimates are obtained using local Markovian approximation. Precision losses due to the target’s fluctuations are determined.