By H. Überall (auth.), W.-M. Boerner, H. Überall (eds.)
Radar imaging, as understood right here, comprises aim popularity, i.e. the decision of the distinctive houses of an item (size, form, constitution and composition, and in addition position and pace) from radar echoes back by means of it. complicated ways are required for this, and a number of other of contemporary curiosity are mentioned during this publication. They contain mathematical inverse-scattering thoughts in line with the answer of essential equations; use of the singularity growth technique (SEM), with regards to the resonance scattering concept (RST), during which the development of resonance-frequency position within the complicated frequency aircraft could be hired to represent a given radar aim; and using polarization info. eventually, the size of radar cross-sections is described.
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The range of examined SNR values is limited to the neighborhood of the threshold values. Continuous curves refer to CR bounds. 14) of SNR. The ML estimate performance is represented by the dashed curves. Below the threshold, different curves are obtained for the single-channel (SC) and the dual-channel (DC) case. 20]. Several different signal polarizations have been considered 24 1-" D. -_~~_-L-_":--L_~_ _ _--' -9 -6 -3 0 3 6 9 12 SNR,dB Fig. 12. Maximum likelihood estimates and Cramer-Rao bounds, for sample lengths N = 8 and N = 16, of normalized standard deviation of central Doppler frequency against signal-to-noise ratio Cramer-Rao bounds, SC --- single-channel estimates, DC --- dual-channel estimates in the dual-channel case, but variations of ML estimate performance were negligible.
The numerical results were obtained by setting the geometric parameters cP and. ', corresponding to a point P' on the Poincare sphere, we analyzed the variation of the CR bounds of the Doppler frequency estimate of this tone, due to the presence of a second tone with different Doppler frequency. " identifying points P" on the Poincare sphere at a constant angular distance e from P' (see Fig. 11). For this analysis we also set to'= O. It should be considered that under the above conditions, the evaluation of the accuracy limit of the Doppler frequency just defined is possible when even the value of parameter /lCP1 or /lcP2 is set.
If adaptation is optimum, the polarized component of the wave is totally rejected. The weights of the linear combination can easily be obtained from the receiving antenna Stokes vector fr = [fO,fl,f2,f3J T. ) = tan - 1(fdf3) , where arg(h r1 ) or arg(hd can be chosen arbitrarily. 9) where sc(t) is the residual output of the receiver, while SI(t) and S2(t) are the signals pertaining to the orthogonally polarized channels. The scheme reported in Fig. 16 represents an optimum receiver for polarization-based disturbance cancellation: it implements the above-described optimum procedure.