Statistical analysis of fast fluctuating random signals with arbitrary-function envelope under breach of consistency of discontinuous information parameter estimate

Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering

Salnikova²,

Faulgaber³

et al. 2016

Self Cite

We introduce a simpler approach for obtaining of usable processing algorithms of fast fluctuating Gaussian pulses with arbitrary modulation function in conditions of parametric prior uncertainty. We carry out the synthesis and analysis of the quasi-optimal measurer of a low-frequency random pulse signal with unknown appearance time, mathematical expectation and dispersion. We find the asymptotically exact expressions for the conditional biases and variances of the resulting estimates. By methods of statistical computer modeling the usefulness and efficiency of the considered technique is corroborated, the working capacity of offered measurer is established, and applicability borders of asymptotically exact formulas for its characteristics are also defined.

“…of current values , a, D of the unknown parameters 0  , 0 a , 0 D . If the conditions (3) are fulfilled, then according to [1,2] we have…”

Section: The Estimation Algorithm Synthesismentioning

confidence: 99%

Section: The Estimation Algorithm Analysismentioning

confidence: 99%

See 1 more Smart Citation

The Simplified Quasi-Optimal Estimates of the Time and Power Parameters of a Low-Frequency Random Pulse with Arbitrary Modulating Function

Proceedings of the 2016 International Conference on Mechatronics, Control and Automation Engineering

Salnikova²,

Faulgaber³

et al. 2016

Self Cite

“…(11) Using Eqs. (9)- (11) and referring to the results in the researches [8,9], it is possible to obtain the approximate expression for the distribution function…”

Section: Quasi-optimal Estimate Of the Dispersionmentioning

confidence: 99%

The estimate of the dispersion of the random radio pulse with unknown time of arrival in the presence of the interference with unknown intensity

Salnikova²,

Trifonov³

et al. 2015

ams

We are considering a problem of the measurement of the dispersion of the random pulse signal with unknown time of arrival against the white noise and the correlated Gaussian interference. By applying a maximum likelihood method, we synthesize quasi-optimal, quasi-likelihood and adaptive estimation algorithms. We also find out the theoretical and experimental dependences for the characteristics of the obtained dispersion estimates that are then used in the study of the efficiency of the introduced algorithms and in the further investigation revea-6936 O.V. Chernoyarov et al. ling the loss in estimation accuracy, due to the absence of the prior information on intensity of operational interferences. We are to show that, with the adaptation in terms of intensity of the correlated interference, it is possible to obtain the dispersion estimate independent from the intensity of white noise, and its characteristics coincide asymptotically with the corresponding characteristics of the dispersion estimate, obtained under the a priori known intensities of interference and white noise.

“…In [4,5] the problem is considered of the estimation of the time of arrival of the signal (1) observed against Gaussian white noise   t n with one-sided spectral density 0 N , provided that all other pulse parameters are a priori known, or that Quasi-optimal reception of random pulse … 2613 the pulse duration is inaccurately known. However, the dispersion 0 D of the process   t  can be unknown often enough and should be measured.…”

Section: Introductionmentioning

confidence: 99%

Quasi-optimal reception of the random pulse with arbitrary-function envelope and unknown time and power parameters

Dobrucký²,

Shepelev³

et al. 2016

ams

A new approach is introduced to the estimation of the fast fluctuating Gaussian pulses with arbitrary-function envelope. It helps us to obtain much simpler processing algorithms for random signals with unknown time and power parameters, 2612 O.V. Chernoyarov et al. in comparison with available ones. The synthesis and analysis have been carried out of the quasi-optimal measurer of the high-frequency Gaussian random pulse signal with the time of arrival and the dispersion unknown. The asymptotically exact expressions are found for the estimation characteristics, including anomalous effects. By the methods of statistical computer modeling both the applicability and the efficiency of the considered technique for the measurement of the random pulsed signals in the conditions of the parametric prior uncertainty is corroborated, and we have the working capacity of the suggested measurer established and the applicability borders for the asymptotically exact formulas for its characteristics defined.