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Principles of Modern Radar - Volume 2 1891121537

Principles of Modern Radar - Volume 2 1891121537

Principles of Modern Radar - Volume 2 1891121537

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770 CHAPTER 17 Advanced Processing Methods for Passive Bistatic <strong>Radar</strong> Systems0+ ++w 0,0 × w 0,1 × w 0,2 × w 0,M−1 ×TTTs ref,0 [k] s ref,0 [k − 1] s ref,0 [k − 2] s ref,0 [k − M + 1]1+ ++w 1,0 × w 1,1 × w 1,2 ×w 1,M-1 ×s ref,1 [k]Ts ref,1 [k − 1]Ts ref,1 [k − 2]Ts ref,1 [k − M + 1]+y[k]N − 1+ ++w N−1,0 × w N−1,1 × w N−1,2 × w N−1,M−1 ×TTTs ref,N−1 [k] s ref,N−1 [k − 1] s ref,N−1 [k − 2] s ref,N−1 [k − M + 1]FIGURE 17-14Sketch <strong>of</strong> the space-time CMA approach.filter taps, a fully ST-CMA is obtained that is expected to operate as a combination <strong>of</strong> theprevious two versions (T-CMA and S-CMA) by contemporaneously using the temporaland spatial DOF.An extensive performance comparison among the different monodimensional CMAversions shows that both approaches allow effective equalization <strong>of</strong> the reference signal ina number <strong>of</strong> different multipath scenarios [41]. However, both approaches also have beenshown to yield significant loss in particular situations. Specifically, the T-CMA yieldsgood performance for a limited multipath replica’s delay, while the S-CMA yields aneffective equalization only when the multipath echo DOA is far enough from the directsignal’s DOA. Besides these considerations, the performance <strong>of</strong> the different versions <strong>of</strong>the CMA for multiple multipath replicas affecting the reference signal strongly dependson the particular phase shift combination between the replicas. The performance <strong>of</strong> themonodimensional CMA versions might be slightly improved increasing the number <strong>of</strong>DOF in the temporal and spatial dimension, respectively; however, this is paid in terms<strong>of</strong> computational load and system complexity. Nevertheless, a residual loss still mightbe experienced in certain scenarios even if significantly increasing the number <strong>of</strong> DOF.This is especially evident when a certain degree <strong>of</strong> a priori knowledge on the multipathscenario is not available or is time varying. It is then apparent that the joint exploitation <strong>of</strong>the temporal and spatial DOF can be <strong>of</strong> great potential interest for multipath removal onthe reference signal exploited by a passive radar. The analysis demonstrated that in mostcases the ST-CMA correctly equalizes the reference signal, thus yielding a pure referencesignal to be used for the following cancellation stage; moreover, thanks to the advantage<strong>of</strong> a space-time processing, the ST-CMA has been shown to be robust even when operatingwith a small number <strong>of</strong> antennas.As an example, Table 17-4 reports the cancellation loss obtained after the application<strong>of</strong> all the considered CMA versions in different multipath scenarios (T-CMA with L = 100,S-CMA with M = 4, and ST-CMA with L = 100 and M = 4). Also the CA loss obtainedwithout any multipath cancellation algorithm is shown for comparison. Specifically, two

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