Principles of Modern Radar - Volume 2 1891121537

16.9 Problems 737FIGURE 16-13Pendulum-baseddog model.a man walking away from the antenna at a speed of 2 m/s. Assume the man’s thighheight is 1 m and that the radar operates at a center frequency of 10 GHz, and pulserepetition interval of 0.2 ms. Remove the linear component of the phase history toisolate the nonlinear component. How does changing the dwell time affect the degreeof nonlinearity of the human phase history?3. For the target profile described in problem 2, compute the SNR loss (16.39) due tophase mismatch for varying dwell times. How does changing the dwell time affectthe amount of SNR loss caused by phase mismatch with the detector?4. Compute a sinusoidal approximation to the torso response, as given in (16.42), forthe target described in problem 2. How does the SNR loss of the sinusoidal detectorcompare with that of the linear detector?5. Compute the spectrogram of the torso response for the human target specified inproblem 2.6. Consider a pendulum-based model for a medium-sized dog, in which the body ismodeled as being composed of eight point targets (Figure 16-13) and legs move asa synchronized pendulum oscillating with frequency ω. Assume the neck is 10 cmlong, the body is 30 cm long, and each leg is 20 cm long. Compute the spectrogrambased on this dog model for a radar with a center frequency of 10 GHz, and pulserepetition interval of 0.2 ms.7. How does the modeled dog spectrogram obtained in problem 6 compare with themeasured dog spectrogram given in Figure 16-7? Is the pendulum-based dog modela good model? How could be model be improved?8. Compare the modeled dog spectrogram obtained in problem 6 with that of the humantorso response and overall human signature shown in Figure 16-7. What differencesdo you observe?9. Compute the best fitting sinusoidal detector for the dog model data generated inproblem 6. How does the performance of the sinusoidal detector compare with thatof a linear detector?10. Compute the SNR loss for a single response containing three people of varying sizes(see Table 16-2). Does the SNR loss increase as more human targets fall within asingle range bin?