# Dynamic Phase Comparison Planar Direction-Finding Algorithm on Satellite Radio Receiver
## 3 Simulation Results and Analysis
### Dynamic Fusion Direction Finding Method  
In this subsection, we attempt to integrate the amplitude comparison algorithm into the dynamic phase comparison algorithm to improve accuracy when the azimuth angle is close to \(0^{\circ}\), \(90^{\circ}\), and \(180^{\circ}\).  
Figure 10 shows the average absolute error curves from one thousand simulations for both the dynamic fusion DF method and the dynamic phase comparison algorithm. Table 1 provides an analysis of the simulation results in terms of improvements in DF accuracy. The simulation parameters remain consistent with those outlined in the previous subsection.  
The simulation results demonstrate that by incorporating the traditional amplitude comparison algorithm, the DF accuracy can be effectively improved under various SNRs with an approximate improvement rate of \(6\%\).  
Figure 8: One simulation result of the dynamic phase comparison algorithm and the amplitude comparison algorithm.  
Figure 7: Simulation of the two DF algorithms.  
Figure 10: Average absolute error of the dynamic fusion method and the dynamic phase comparison algorithm under different SNRs.  
Figure 9: Average absolute error of the dynamic phase comparison algorithm and the amplitude comparison algorithm under different SNRs.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**SNR (dB)** & **Dynamic Phase Comparison (\({}^{\circ}\))** & **Dynamic Fusion (\({}^{\circ}\))** & **Improvement Rate (\%)** \\ \hline \(-10\) & 11.9865 & 11.1910 & 6.6366 \\
0 & 7.2959 & 6.8610 & 5.9609 \\
10 & 5.7360 & 5.4031 & 5.8037 \\ \hline \hline \end{tabular}
\end{table}
Table 1: Analysis of DF accuracy improvement rate.  
In the DF system of a satellite radio receiver, digital signal processing techniques including band-pass filtering and coherent accumulation can be further introduced to improve the SNR. Figure 11 illustrates the dynamic fusion DF process of the high-speed satellite radio receiver.  
To explore the influence of the SNR, receiver sampling rate, and coherent accumulation on the dynamic fusion DF method, Figure 12 shows the average absolute error curves from one thousand simulations of the dynamic fusion DF method, affected by three factors: SNR, receiver sampling rate, and the number of coherent accumulation. In the simulations, the default parameter settings are as follows: an SNR of \(-15\,\mathrm{dB}\), a receiver sampling rate of \(6.4\,\mathrm{MHz}\), and the number of coherent accumulation set to 10.  
The simulation results shows that the SNR, receiver sampling rate, and coherent accumulation all significantly impact the dynamic fusion DF method. When analyzing the simulation results, conclusions slightly different than those in Section 3.1 can be drawn:  
1. Generally, the higher the SNR, the higher the sampling rate, or the greater the number of coherent accumulation, the higher is the DF accuracy;
2. Azimuth angles of EM waves near \(0^{\circ}\) and \(180^{\circ}\) may still produce relatively larger DF errors, while errors near \(90^{\circ}\) become lower, indicating a broader range of DF angles overall;
3. The number of coherent accumulation should not also be too large as it may lead to a decrease in DF accuracy. Especially as angles approach \(70^{\circ}\) or \(110^{\circ}\), excessive coherent accumulation number can result in larger errors.  
Figure 11: Block diagram of direction-finding system in space-borne receiver.