# An Adjusted Frequency-Domain Algorithm for Arc Array Bistatic SAR Data with One-Moving Transmitter
## 5 Simulation Results  
According to the analysis in Section 4, it can be concluded that the velocity and position of the transmitter will affect the spatial resolution of the system. In this section, in order to verify the effectiveness of the algorithm proposed in this paper and observe the impact of transmitter position and velocity changes on the spatial resolution, three sets of simulation experiments are carried out. The detailed simulation parameters are listed in Table 1, and the initial position and velocity of the transmitter are set as in Table 2. In the simulation, the imaging algorithm proposed in this paper is used to simulate the echo of point targets, a total of 9 point targets are simulated in the image scene, Figure 8 shows the distributing positions of the simulated targets. By comparing the imaging performance of different transmitter positions and velocities, the imaging performance of AA-BiSAR with one-moving transmitter can be further understood. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Experiment** & **Transmitter Position (\(X_{t}\),\(Y_{t}\),\(H_{t}\))** & **Transmitter Speed** \\
**Number** & **Value** \\ \hline \(1\) & (0 m, 100 m, 1000 m) & \(50\) m/s \\ \(2\) & (0 m, 700 m, 1000 m) & \(50\) m/s \\ \(3\) & (0 m, 100 m, 1000 m) & \(300\) m/s \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Different parameters of the three group experiments. Figure 7: The spatial resolution of AA-BiSAR with moving receiver: (a) the azimuth resolution; (b) the ground-range resolution. Experiment 1: In this experiment, the transmitter initial position is set as (0 m, 100 m, 1000 m), and the velocity of the transmitter is set as 50 m/s. Figure 9 shows the simulation results of Experiment 1, where Figure 9a is the azimuth resolution of the simulated target scene, Figure 9b is the ground-range resolution of the scene, and Figure 9c is the imaging results of the simulated targets. In order to further verify the effectiveness of the proposed algorithm, the point targets P1, P2, and P3 are analyzed in detail. Their position coordinates are set as: (500 m, \(-20^{\circ}\)), (600 m, 0\({}^{\circ}\)), (700 m, 20\({}^{\circ}\)), respectively. Figure 9d shows the contour of the simulated target P2, it can be observed that the target has good focusing behavior both in the range and azimuth direction. Figure 8: The positions of the simulated targets. Figure 9: The simulation results of Experiment 1: (**a**) the azimuth resolution; (**b**) the ground-range resolution; (**c**) the imaging results of the simulated targets; (**d**) the contour of P2. Experiment 2: In order to observe the influence of transmitter position change on the spatial resolution, the transmitter initial position is designed as (0 m, 700 m, 1000 m) in this experiment, and the velocity of the transmitter is the same as Experiment 1. The corresponding simulation results of Experiment 2 are shown in Figure 10, it can be observed from Figure 10c that the imaging focusing ability of the simulated targets is significantly reduced, which confirmed that the closer the transmitter is to the target, the worse the ground-range resolution. Figure 10d is the contour of the simulated target, it can be found that the ground-range resolution in Experiment 2 is worse than in Experiment 1, since the position of the transmitter in Experiment 2 is closer to the targets. In addition, due to the distance between the transmitter and receiver becoming larger, there will be imaging distortion in Experiment 2. Experiment 3: In this experiment, the transmitter velocity is changed to 300 m/s, and the position of the transmitter is set as (0 m, 100 m, 1000 m). Figure 11 shows the simulation results, since the azimuth time variable is set within an arc synthetic aperture time in the simulation, the azimuth resolution of the target changes little. Figure 11d is the contour of the simulated target in Experiment 3, it can be seen that the target focusing ability is better than in the other two group experiments.