Parameter estimation method for frequency hopping signal based on time-frequency transform and waveform shaping
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摘要: 针对噪声对跳频信号参数估计造成的困难，提出了基于时频变换和波形整形的跳频信号参数估计方法。对跳频信号进行短时傅里叶变换，计算得到时频脊线，对时频脊线进行波形整形处理，消除噪声造成的虚假跳频时刻干扰，通过跳频时刻序列得到跳周期序列，对跳周期序列计算其直方图，选出出现次数最多的值来计算跳频信号的跳频速率。根据跳周期序列分别取出每段信号，再进行频率估计。通过实验验证了提出方法的有效性，综合利用时频变换及波形整形处理技术，保证了在低信噪比下跳频信号跳频时刻、跳频速率及跳频频率的理想估计结果。Abstract: In view of the adverse effect of noise on frequency hopping signal parameter estimation, a frequency hopping signal parameter estimation method based on time-frequency transform and waveform shaping is proposed. The time-frequency ridge is calculated by the short-time Fourier transform of the frequency hopping signal, the waveform shaping of the time-frequency ridge is processed to eliminate the false time-hopping interference caused by noise, and the hopping period sequence is obtained through the time-hopping sequence. The histogram of the hopping period sequence is calculated, and the value with the most occurrence times is selected to calculate the hopping speed of the frequency hopping signal. According to the hopping period sequence, signal of each hop is extracted respectively, and then the frequency is estimated. The effectiveness of the proposed method is verified by experiments, and the ideal estimation results of hopping time, hopping speed and frequency of frequency hopping signal under low signal-to-noise ratio are guaranteed by comprehensive use of time-frequency transformation and waveform shaping technology.
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Key words:
- frequency hopping signal /
- parameter estimation /
- waveform shaping /
- time hopping /
- hopping speed
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图 1 跳频信号频谱及时频图
Figure 1. Frequency spectrum and time-frequency diagram of frequency-hopping (FH) signal
图 2 某实测跳频信号时刻参数估计中的关键波形
Figure 2. Key waveforms in parameter estimation of a measured frequency hopping signal
图 3 基于时频变换和波形整形的跳频信号参数估计方法流程图
Figure 3. Flow chart of parameter estimation method for frequency-hopping signal based on time-frequency transform and waveform shaping
图 4 消除虚假跳频时刻后的跳频时刻序列
Figure 4. Frequency hopping time sequence after eliminating false frequency hopping time
图 6 跳频频率值个数为8的跳频信号跳频时刻、跳频速率和跳频频率参数估计误差曲线(实验一)
Figure 6. Estimation error curves of hopping time, hopping speed and hopping frequency of FH signal with 8 FH frequencies (experiment 1)
图 7 跳频频率值个数为12的跳频信号频谱(实验二)
Figure 7. Frequency spectrum of FH signal with 12 frequency values (experiment 2)
图 8 跳频频率值个数为12的跳频信号跳频时刻、跳频速率和跳频频率参数估计误差曲线(实验二)
Figure 8. Estimation error curves of hopping time, hopping speed and hopping frequency of FH signal with 12 hopping frequency values (experiment 2)
图 9 跳频频率值个数为8的跳频信号频谱(实验三)
Figure 9. Frequency spectrum of FH signal with 8 FH frequency values (experiment 3)
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