Advanced Ultrawideband Radar: Signals, Targets, and Applications (Force Drawing Series) by James D. Taylor

Author:James D. Taylor [Taylor, James D.]
Language: eng
Format: epub
Publisher: CRC Press
Published: 2016-12-19T08:00:00+00:00

The Omega-K Algorithm

The omega-K algorithm operates in the wavenumber domain [29]. As in the range–Doppler algorithm, an FFT in range on the raw data produces a very efficient range compression that can be used as a starting point for further processing which goes as follows [27,29,30,31]:

A 3D FFT transforms the data into the full frequency domain which produces range, azimuth, and elevation wavenumber frequencies, or fr, fu and fv, respectively.

Applying a matched filter center initially at a reference range achieves azimuth and elevation compression. This compression will only focus targets located at the reference range. Applying a change of variables in the wavenumber domain, known as Stolt mapping or interpolation, focuses the remaining ranges [29].

The resulting phase evolution is transformed from quadratic to linear, as described by Equations 6.12 and 6.13, which enables an optimum focusing for all ranges.

Finally, applying an inverse Fourier transform to the 3D data retrieves the 3D SAR image.

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