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Principles of Modern Radar - Volume 2 1891121537

Principles of Modern Radar - Volume 2 1891121537

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7.3 Doppler Beam Sharpening Extensions 285Crossrange (m)DBS + Az Dechirp SAR (dB)DBS + AD + RMC SAR (dB)–50–400–5–50–40–30–10–20–15–10–200–2510–3020–3530 –404050–50 –40 –30 –20 –10 0 10 20 30 40 50–45–504050–50 –40 –30 –20 –10 0 10 20 30 40 50Downrange (m)Downrange (m)(a)(b)FIGURE 7-28 Simulated imagery for (a) DBS-AD, and (b) DBS-AD-RMC.Crossrange (m)–30–20–1001020300–5–10–15–20–25–30–35–40–45–507.3.3 Notes on Doppler Beam SharpeningAs capable as the DBS family <strong>of</strong> techniques may appear, they suffer from a number <strong>of</strong>drawbacks and are rarely employed in high-fidelity imaging. For example, the outputimage is warped because the algorithm operates on circles <strong>of</strong> slant range and hyperboliciso-Doppler lines. The resulting geometric distortion makes geographic registration <strong>of</strong>DBS imagery difficult. In addition, imaging at very fine resolutions over wide scenesgenerates higher-order phase and migration histories the DBS paradigm cannot readilyaccommodate.Worse yet, DBS has fatal flaws for stripmap applications. Stripmap acquisitions aretypically long affairs with many scatterers moving through the mainbeam <strong>of</strong> the realantenna over an extended tract <strong>of</strong> terrain. Imagine a fairly benign collection whereinhigher-order phase effects and range migration are negligible so that DBS-AD will sufficefor image formation. We might begin by processing a subset <strong>of</strong> the data, applying a block<strong>of</strong> along-track records to DBS-AD. If the block size is equal to the illumination intervalfor a point target, DBS-AD will focus a return at broadside to full resolution. However,returns at other cross-range locations will have been illuminated over only a fraction <strong>of</strong>the block, so their returns will be focused to a degraded cross-range resolution. Block sizecould be increased, thereby ensuring full resolution over a finite along-track extent, butthe problem comes in the azimuth dechirp stage. Referring to Figure 7-10, dechirp mapsalong-track position to spatial frequency. Larger block sizes include more along-trackreturns and generate higher and lower frequencies after dechirp. However, the data aresampled discretely along-track, so these signals will soon begin to wrap in frequency. Theend product will be highly aliased in cross-range.Finally, the DBS approach is rather ad hoc: as damaging affects appear we tack onadditional stages to fix them. Such a strategy is not sustainable. The next section developsa family <strong>of</strong> techniques that are much more intellectually pleasing.

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