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Space/time/frequency methods in adaptive radar - New Jersey ...

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100Figure 5.12 Post-Doppler range plots us<strong>in</strong>g 60 tra<strong>in</strong><strong>in</strong>g po<strong>in</strong>ts with tra<strong>in</strong><strong>in</strong>g outsidethe target region. SMI, EIG, and non-<strong>adaptive</strong> techniquesSMI weight vector will rema<strong>in</strong> unchanged (up to a ga<strong>in</strong> factor). Hence, <strong>in</strong>clusion ofthe target <strong>in</strong> this case has no impact on the array performance. Conversely, whenthe steer<strong>in</strong>g and the target vectors differ, presence of the target will cause a shift<strong>in</strong> the weight vector. In this case, the target is <strong>in</strong>terpreted as an <strong>in</strong>terference andthe array acts to reject it. S<strong>in</strong>ce <strong>in</strong> practice it is difficult to ensure that the targetand steer<strong>in</strong>g vector are equal (no po<strong>in</strong>t<strong>in</strong>g error and perfect calibration), to precludetarget cancellation, covariance matrix estimation is done without the range cells <strong>in</strong>the vic<strong>in</strong>ity of the one tested. Reduced rank <strong>methods</strong> constra<strong>in</strong> the weight vectorto the noise subspace. These <strong>methods</strong> tend to be less susceptible to the presenceof the target <strong>in</strong> the tra<strong>in</strong><strong>in</strong>g data, s<strong>in</strong>ce a few target cells may cause no change <strong>in</strong>the <strong>in</strong>terference/noise subspace partition [59]. Indeed, the covariance matrix may beexpressed

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