# The tomographic formulation of spotlight mode synthetic aperture radar extended to three dimensional targets

## Abstract

In this paper we take a new look at the tomographic formulation of spotlight mode synthetic aperture radar (SAR), so as to include the case of targets having three-dimensional structure. This bridges the work of David C. Munson and his colleagues, who first described SAR in terms of two-dimensional tomography, with Jack Walker's original derivation of spotlight mode SAR imaging via Doppler analysis. The main result is to demonstrate that the demodulated radar return data from a spotlight mode collection represent a certain set of samples of the three-dimensional Fourier transform of the target reflectivity function, and to do so using tomographic principles instead of traditional Doppler arguments. We then show that the tomographic approach is useful in interpreting the two-dimensional SAR image of a three-dimensional scene. In particular, the well-known SAR imaging phenomenon commonly referred to as layover is easily explained in terms of tomographic projection. 4 refs.

- Authors:

- Publication Date:

- Research Org.:
- Sandia National Labs., Albuquerque, NM (United States)

- Sponsoring Org.:
- USDOE; USDOE, Washington, DC (United States)

- OSTI Identifier:
- 5127126

- Report Number(s):
- SAND-92-1045C; CONF-9209114-1

ON: DE92013666

- DOE Contract Number:
- AC04-76DP00789

- Resource Type:
- Conference

- Resource Relation:
- Conference: Digital signal processing workshop, Starved Rock, IL (United States), 15 Sep 1992

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; SYNTHETIC-APERTURE RADAR; MATHEMATICAL MODELS; COMPUTERIZED TOMOGRAPHY; FOURIER TRANSFORMATION; IMAGE PROCESSING; INTEGRAL EQUATIONS; SIGNALS; THREE-DIMENSIONAL CALCULATIONS; DIAGNOSTIC TECHNIQUES; EQUATIONS; INTEGRAL TRANSFORMATIONS; MEASURING INSTRUMENTS; PROCESSING; RADAR; RANGE FINDERS; TOMOGRAPHY; TRANSFORMATIONS; 420200* - Engineering- Facilities, Equipment, & Techniques; 990200 - Mathematics & Computers

### Citation Formats

```
Jakowatz, C.V. Jr., and Thompson, P.A.
```*The tomographic formulation of spotlight mode synthetic aperture radar extended to three dimensional targets*. United States: N. p., 1992.
Web.

```
Jakowatz, C.V. Jr., & Thompson, P.A.
```*The tomographic formulation of spotlight mode synthetic aperture radar extended to three dimensional targets*. United States.

```
Jakowatz, C.V. Jr., and Thompson, P.A. Wed .
"The tomographic formulation of spotlight mode synthetic aperture radar extended to three dimensional targets". United States.
doi:.
```

```
@article{osti_5127126,
```

title = {The tomographic formulation of spotlight mode synthetic aperture radar extended to three dimensional targets},

author = {Jakowatz, C.V. Jr. and Thompson, P.A.},

abstractNote = {In this paper we take a new look at the tomographic formulation of spotlight mode synthetic aperture radar (SAR), so as to include the case of targets having three-dimensional structure. This bridges the work of David C. Munson and his colleagues, who first described SAR in terms of two-dimensional tomography, with Jack Walker's original derivation of spotlight mode SAR imaging via Doppler analysis. The main result is to demonstrate that the demodulated radar return data from a spotlight mode collection represent a certain set of samples of the three-dimensional Fourier transform of the target reflectivity function, and to do so using tomographic principles instead of traditional Doppler arguments. We then show that the tomographic approach is useful in interpreting the two-dimensional SAR image of a three-dimensional scene. In particular, the well-known SAR imaging phenomenon commonly referred to as layover is easily explained in terms of tomographic projection. 4 refs.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Wed Jan 01 00:00:00 EST 1992},

month = {Wed Jan 01 00:00:00 EST 1992}

}