Inverting a dispersive scene's side-scanned image
Abstract
Given the side-scanned image of a scene characterized by a random, time-varying reflectivity density, evolving in accordance with a dispersion relation, the linear, minimum mean-square error estimator of the scene at a given time is found. The data are corrupted by additive, `white' noise. The minimum mean-square error does not depend on whether the real or the synthetic aperture technique is used or whether in the synthetic case, the `signal film' or `complex' image is the data. The effect of finite scanning velocity υ is to replace the white noise of spectral density ηo with a `colored' noise of spectral density | - υgx(k)/υ|ηo where υgx(k) is the group velocity directed along υ it is assumed that υgx(k)/υ < 1. The anomalous behavior when υgx (k) exceeds υ is noted.
- Publication:
-
Radio Science
- Pub Date:
- February 1983
- DOI:
- 10.1029/RS018i001p00083
- Bibcode:
- 1983RaSc...18...83H
- Keywords:
-
- Image Processing;
- Ocean Surface;
- Radar Imagery;
- Radar Scanning;
- Scene Analysis;
- Side-Looking Radar;
- Electromagnetic Noise;
- Error Functions;
- Mean Square Values;
- Radar Echoes;
- Radar Scattering;
- Remote Sensing;
- Sonar;
- Spectral Energy Distribution;
- Synthetic Aperture Radar;
- Time Functions