Observability of the scattering cross-section through phase decoherence

Field, Timothy R.

doi:10.1063/1.1926147

Cited by 12 publications

(31 citation statements)

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“…The SDE dynamical model of radar sea clutter has also been verified previously to a remarkable degree of accuracy, in terms of real experimental data (see [3, Section 4(b)]). Moreover, an independent theoretical account for such a model was provided in Field & Tough [4], and has served as the basis for other significant developments [11,12]. As we have seen in Section 4, this stochastic dynamic behavior is inherently nonlinear, due to the broader timescale fluctuations in the RCS.…”

Section: Discussionmentioning

confidence: 99%

“…Observe that, whereas the FM/AM characteristics of the received envelope do not map to unique stochastic dynamics, conversely the SDE description allows for explicit extraction of both the FM/AM constituents (see [12]), and therefore the SDE description is more fundamental than the spectral one. Indeed, given the SDE dynamics, we are able to extract all higher order statistical information through the propagators obtained as solutions of the associated FokkerPlanck equations [4,19].…”

Section: Discussionmentioning

confidence: 99%

“…This property, which is derived explicitly in Field [12], is related to the fact that the form factors (i.e., the amplitude weightings) in (4) may be taken as a unity for an asymptotically large population (cf. also [17] where the emergent statistical properties are independent of the choice of form factors).…”

Section: Superpositionmentioning

confidence: 99%

“…It has recently proven successful in this context in the application to radar sea clutter [3,4,10]. In a more general physical context, including optical propagation, the stochastic calculus has led to substantial new theoretical developments in the subject of electromagnetic scattering from random media [11][12][13].…”

Section: Elements Of Sde Theorymentioning

confidence: 99%

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Nonlinear Dynamics of Sea Clutter

Field

Haykin

2008

International Journal of Navigation and Observation

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We review experimental evidence for the nonlinearity of sea clutter and the role of the z-parameter or Mann-Whitney rank-sum statistic in quantifying this nonlinear behavior in the context of a hybrid AM/FM model for sea clutter, viewed as a cyclostationary process. An independent theoretical derivation of the stochastic dynamics of radar scattering in a sea clutter environment, in terms of a pair of coupled stochastic differential equations for the received envelope and radar cross-section (RCS), enables the identification of nonlinearity in terms of the shape parameter for the RCS. We are led to conclude that, from both experimental and theoretical points of view, the dynamics of sea clutter are nonlinear with a consistent degree of nonlinearity that is determined by the sea state.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Superpositionmentioning

confidence: 99%

Section: Elements Of Sde Theorymentioning

confidence: 99%

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Nonlinear Dynamics of Sea Clutter

Field

Haykin

2008

International Journal of Navigation and Observation

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“…[13,14]). This paper aims to extend this procedure, established for a strongly scattered amplitude, to the weak scattering case.…”

Section: Introductionmentioning

confidence: 96%

Geometrical implications of the compound representation for weakly scattered amplitudes

Fayard

Field

2011

Waves in Random and Complex Media

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It is known that a random walk model yields the multiplicative representation of a coherent scattered amplitude in terms of a complex OrnsteinUhlenbeck process modulated by the square root of the cross-section. A corresponding biased random walk enables the derivation of the dynamics of a weak coherent scattered amplitude as a stochastic process in the complex plane. Strong and weak scattering patterns differ regarding the correlation structure of their radial and angular fluctuations. Investigating these geometric characteristics yields two distinct procedures to infer the scattering cross-section from the phase and intensity fluctuations of the scattered amplitude. These inference techniques generalize an earlier result demonstrated in the strong scattering case. Their significance for experimental applications, where the cross-section enables tracking of anomalies, is discussed.

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