IEEE Geoscience and Remote Sensing Magazine - March 2021 - 84

and Weibull distributions, were used to accurately describe
NR clutters of some specific scenarios.
In 1981, Ward proposed the product model [14], a turning point in the study of SAR statistical modeling. The product model can be regarded as a generalization of the Rayleigh speckle model. Its derivation is much simpler than the

Therefore, based on the random walk model [8], the nonRayleigh (NR) speckle model [9] was proposed, leading to
more expressive models such as the K distribution [10] and
incoherent scatterer sum (ISS) models [11]-[13], which were
used in SAR clutter simulation. Also, empirical probability
distributions with more parameters, such as the log-normal

Physical Information

Maxwell's Equations

Coherent Scatterer Model

Empirical Model

Experimental
Electromagnetics
(Before 1864)

Classical
Electromagnetics
(1864-1950)

Computational
Electromagnetics
(After 1950)

Nonparametric
Statistical Model

Finite-Mixture
Statistical Model

Single EmpiricalDistribution Model

Rayleigh Speckle Model

ISS Model

GCL Theorem Model

Product Model

NR Speckle Model

Numerical Method

High-/Low-FrequencyApproximation Method

Exact Analytical Method

High-/Low-FrequencyApproximation Method

Exact Analytical Method

Faraday's Theorem

Coulomb's Law

Ampere's Theorem

NR Speckle

Single-Pixel Statistical Model
Spatial-Correlation Model

EM Method

Statistical Method

FIGURE 2. Details of the two main categories of SAR image analysis.

Physical Meaning

1960s to the Present
1980s to the Present

NR
Speckle Model
Product Model

Early 21st Century to the Present
1960s to the Present

NR Speckle

GCL Theorem Model
ISS Model

1950s to the Present

Rayleigh Speckle Model
Application Scope

1960s to the Present

Finite-Mixture Statistical Model
1990s to the Present
Nonparametric Statistical Model
1990s to the Present

Mo

de
l

Co
mp

lex

ity

Single EmpiricalDistribution Model

FIGURE 3. The development of SAR data statistical models.

84

IEEE GEOSCIENCE AND REMOTE SENSING MAGAZINE

MARCH 2021



IEEE Geoscience and Remote Sensing Magazine - March 2021

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