Multidimensional optical video signals superposition for measurement offset, rotation angle, and scale with additive and multiplicative noise

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.

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Phase lock and stationary fluctuations induced by correlation between additive and multiplicative noise terms in a single-mode laser

Physics Letters A ◽

10.1016/s0375-9601(97)00320-4 ◽

1997 ◽

Vol 231 (5-6) ◽

pp. 339-343 ◽

Cited By ~ 36

Author(s):

Quan Long ◽

Li Cao ◽

Da-jin Wu ◽

Zai-guang Li

Keyword(s):

Multiplicative Noise ◽

Single Mode ◽

Mode Laser ◽

Phase Lock ◽

Single Mode Laser ◽

Additive And Multiplicative Noise

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GPS Signal Detection under Multiplicative and Additive Noise

Journal of Navigation ◽

10.1017/s0373463312000550 ◽

2012 ◽

Vol 66 (4) ◽

pp. 479-500 ◽

Cited By ~ 5

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.

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Iterative Algorithm Offset and Angle Rotation Estimation with Additive and Multiplicative Noise for Space-Time Superposition of Television Signals

Proceedings of Telecommunication Universities ◽

10.31854/1813-324x-2020-6-4-28-34 ◽

2020 ◽

Vol 6 (4) ◽

pp. 28-34

Author(s):

R. Diyazitdinov ◽

N. Vasin

Keyword(s):

Multiplicative Noise ◽

Rotation Angle ◽

Video Recording ◽

Brute Force ◽

Unknown Parameters ◽

Television Signal ◽

Universal Solution ◽

Angle Rotation ◽

Multiplicative Interference ◽

Angle Of Rotation

The estimation of displacements, rotation angle and other deformation of images is an urgent problem in the intelligence video recording system. One of the main tasks in assessing image deformations is to increase the speed of data processing. Significant amounts of information contained in a television signal limit the possibilities of using brute force methods, which are a universal solution for estimating unknown parameters. The paper considers the problem of estimating the displacement and angle of rotation under the influence of additive and multiplicative interference for the spatial-temporal alignment of television signals. Reducing the processing time is carried out through the use of an iterative procedure for estimating parameters by successive approximation with separate estimation of the angle of rotation and displacement.

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