Inference of a generalised texture for a compound – Gaussian clutter

Fayard, Patrick; Field, Timothy R.

doi:10.1049/iet-rsn.2009.0122

Cited by 1 publication

(2 citation statements)

References 11 publications

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“…If we substitute (19) in (17) and (18), we obtain a similar decomposition for the phase and intensity differentials…”

Section: Stochastic Dynamics 31 Decomposition Of Amplitude Fluctuatmentioning

confidence: 99%

“…Equation (45) suggests that the discrepancy between the exact and inferred cross-sections is caused either by a sensitivity to the sampling process or by the loss of information arising whilst averaging the left-hand side of (44). This situation was investigated in detail in [14,19] for a strongly scattered amplitude, where it was shown that the mean square error (MSE) between the exact and inferred cross-sections reads…”

Section: Waves In Random and Complex Media 89mentioning

confidence: 99%

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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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“…If we substitute (19) in (17) and (18), we obtain a similar decomposition for the phase and intensity differentials…”

Section: Stochastic Dynamics 31 Decomposition Of Amplitude Fluctuatmentioning

confidence: 99%

Section: Waves In Random and Complex Media 89mentioning

confidence: 99%

Geometrical implications of the compound representation for weakly scattered amplitudes

Fayard

Field

2011

Waves in Random and Complex Media

Self Cite

View full text Add to dashboard Cite

show abstract

Inference of a generalised texture for a compound – Gaussian clutter

Cited by 1 publication

References 11 publications

Geometrical implications of the compound representation for weakly scattered amplitudes

Geometrical implications of the compound representation for weakly scattered amplitudes

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