Estimation of the Influence of Additive and Multiplicative Noise with Low Level on the Accuracy of Measurement of Signal Information Parameter

2020 ◽  
Author(s):  
V. M. Artyushenko ◽  
V. I. Volovach
Keyword(s):  
Multiplicative Noise ◽  
Low Level ◽  
Information Parameter ◽  
Additive And Multiplicative Noise ◽  
Accuracy Of Measurement

Accuracy of measurement of the signal information parameter in aviation and space-rocket radio systems in the presence of additive and multiplicative interference with a low level

2020 ◽  
pp. 3-12
Author(s):  
В.М. Артюшенко ◽  
В.И. Воловач
Keyword(s):  
Low Level ◽  
Energy Parameters ◽  
Space Rocket ◽  
Useful Signal ◽  
Information Parameter ◽  
Additive Interference ◽  
Accuracy Of Measurement ◽  
Radio Systems ◽  
Multiplicative Interference

Рассмотрено и проанализировано влияние флуктуационных стационарных мультипликативных помех, действующих одновременного с аддитивными помехами, на точность измерения неэнергетических параметров информационных сигналов. Показано, что при низком уровне мультипликативных и аддитивных помех оценка одного параметра полезного сигнала оказывается несмещенной, а ее дисперсия представляет сумму двух слагаемых, первое учитывает влияние аддитивных помех, второе - мультипликативных. Наиболее опасными являются медленные мультипликативные помехи. The influence of fluctuating stationary multiplicative interference acting simultaneously with additive interference on the accuracy of measurement of non-energy parameters of information signals is considered and analyzed. It is shown that at a low level of multiplicative and additive interference, the estimation of one parameter of the useful signal is unbiased, and its dispersion is the sum of two terms, the first takes into account the influence of additive interference, the second - multiplicative. Slow multiplicative interference is the most dangerous.

Accuracy of measurement of the signal information parameter in aviation and space-rocket radio systems in the presence of additive and multiplicative interference with a low level

2020 ◽  
pp. 24-34 ◽  
Author(s):  
В.М. Артюшенко ◽  
В.И. Воловач
Keyword(s):  
Low Level ◽  
Energy Parameters ◽  
Space Rocket ◽  
Useful Signal ◽  
Information Parameter ◽  
Additive Interference ◽  
Accuracy Of Measurement ◽  
Radio Systems ◽  
Multiplicative Interference

Рассмотрено и проанализировано влияние флуктуационных стационарных мультипликативных помех, действующих одновременного с аддитивными помехами, на точность измерения неэнергетических параметров информационных сигналов. Показано, что при низком уровне мультипликативных и аддитивных помех оценка одного параметра полезного сигнала оказывается несмещенной, а ее дисперсия представляет сумму двух слагаемых, первое учитывает влияние аддитивных помех, второе - мультипликативных. Наиболее опасными являются медленные мультипликативные помехи. The influence of fluctuating stationary multiplicative interference acting simultaneously with additive interference on the accuracy of measurement of non-energy parameters of information signals is considered and analyzed. It is shown that at a low level of multiplicative and additive interference, the estimation of one parameter of the useful signal is unbiased, and its dispersion is the sum of two terms, the first takes into account the influence of additive interference, the second - multiplicative. Slow multiplicative interference is the most dangerous.

scholarly journals Analysis of Stochastic Generation and Shifts of Phantom Attractors in a Climate–Vegetation Dynamical Model

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1329
Author(s):  
Lev Ryashko ◽  
Dmitri V. Alexandrov ◽  
Irina Bashkirtseva
Keyword(s):  
Multiplicative Noise ◽  
Nonlinear Dynamical Systems ◽  
Stochastic Theory ◽  
Slow Variable ◽  
Theoretical Description ◽  
Mathematical Study ◽  
Stochastic Generation ◽  
Nonlinear Dynamical ◽  
Additive And Multiplicative Noise ◽  
And Shifts

A problem of the noise-induced generation and shifts of phantom attractors in nonlinear dynamical systems is considered. On the basis of the model describing interaction of the climate and vegetation we study the probabilistic mechanisms of noise-induced systematic shifts in global temperature both upward (“warming”) and downward (“freezing”). These shifts are associated with changes in the area of Earth covered by vegetation. The mathematical study of these noise-induced phenomena is performed within the framework of the stochastic theory of phantom attractors in slow-fast systems. We give a theoretical description of stochastic generation and shifts of phantom attractors based on the method of freezing a slow variable and averaging a fast one. The probabilistic mechanisms of oppositely directed shifts caused by additive and multiplicative noise are discussed.

scholarly journals GPS Signal Detection under Multiplicative and Additive Noise

2012 ◽  
Vol 66 (4) ◽  
pp. 479-500 ◽  
Author(s):  
P. Huang ◽  
Y. Pi ◽  
I. Progri
Keyword(s):  
Signal Detection ◽  
Urban Areas ◽  
Multiplicative Noise ◽  
Additive Noise ◽  
Power Level ◽  
Signal Propagation ◽  
Signal Acquisition ◽  
Detection Scheme ◽  
Additive And Multiplicative Noise ◽  
Gps Signal Acquisition

In some Global Positioning System (GPS) signal propagation environments, especially in the ionosphere and urban areas with heavy multipath, GPS signal encounters not only additive noise but also multiplicative noise. In this paper we compare and contrast the conventional GPS signal acquisition method which focuses on handling GPS signal acquisition with additive noise, with the enhanced GPS signal processing under multiplicative noise by proposing an extension of the GPS detection mechanism, to include the GPS detection model that explains detection of the GPS signal under additive and multiplicative noise. For this purpose, a novel GPS signal detection scheme based on high order cyclostationarity is proposed. The principle is introduced, the GPS signal detection structure is described, the ambiguity of initial PseudoRandom Noise (PRN) code phase and Doppler shift of GPS signal is analysed. From the simulation results, the received GPS signal at low power level, which is degraded by additive and multiplicative noise, can be detected under the condition that the received block of GPS data length is at least 1·6 ms and sampling frequency is at least 5 MHz.

Accuracy of measuring the frequency and time of arrival of a useful signal in aviation and space-rocket radio systems at presence of additive and multiplicative interference with low level

2021 ◽  
pp. 3-15
Author(s):  
В.М. Артюшенко ◽  
В.И. Воловач
Keyword(s):  
Frequency Measurement ◽  
Signal Frequency ◽  
Time Of Arrival ◽  
Low Level ◽  
Energy Parameters ◽  
Space Rocket ◽  
Useful Signal ◽  
Additive Interference ◽  
Accuracy Of Measurement ◽  
Multiplicative Interference

Произведена оценка влияния флуктуационных стационарных мультипликативных помех, действующих одновременного с аддитивными помехами, на точность измерения неэнергетических параметров информационных сигналов. Показано, что мультипликативная помеха низкого уровня оказывает более сильное влияние на точность измерения времени прихода, чем на точность измерения частоты полезного сигнала. Осуществлена количественная оценка влияния мультипликативной помехи на точность измерения неэнергетических параметров полезного сигнала. The influence of fluctuating stationary multiplicative interference acting simultaneously with additive interference on the accuracy of measurement of non-energy parameters of information signals is estimated. It is shown that low-level multiplicative interference has a stronger effect on the accuracy of the arrival time measurement than on the accuracy of the useful signal frequency measurement. A quantitative assessment of the effect of multiplicative interference on the accuracy of measurement of non-energy parameters of the useful signal is carried out.

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