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

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16Figure 2.5 Magnitude of the Fourier transform of a s<strong>in</strong>e wave with a <strong>frequency</strong> of20 HzA complex-valued <strong>frequency</strong>-shift-keyed signal, as <strong>in</strong> Figure 2.6, is an exampleof a signal which displays <strong>time</strong> localization of spectral components. This figure showsonly a s<strong>in</strong>gle <strong>frequency</strong> is present at any <strong>in</strong>stance of <strong>time</strong>. This <strong>frequency</strong> may beobta<strong>in</strong>ed as the derivative of the <strong>in</strong>stantaneous phase, arg{s(t)}, which is def<strong>in</strong>ed asthe <strong>in</strong>stantaneous <strong>frequency</strong> (IF) [29],The group delay (GD) is def<strong>in</strong>ed aswhere arg{S(ƒ)} is the phase spectrum.

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