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摘要: 针对低信噪比下MPSK (M-ary phase shift keying)信号的码元速率估计问题, 提出一种优化算法.该算法无需先验知识, 通过Hilbert变换提取瞬时相位基带序列, 经多尺度小波变换, 对每个尺度下的小波系数的模值的平方进行叠加, 对叠加后的结果再进行功率谱计算, 在码元速率整数倍处有离散谱线, 估计正确率在信噪比大于1 dB时大于90 %.Abstract: To solve the problem of symbol rate estimation for MPSK signals at low signal-to-noise ratio (SNR), an optimization algorithm is proposed. Without any prior knowledge, this method extracts the baseband sequence of instantaneous phase by Hilbert transform. Then, multi-scale wavelet transform is applied to the above results. The square of the modulus of the wavelet coefficients at each scale is superposed. Finally, the power spectrum of the superposition result is calculated. Theoretical analysis shows that discrete spectral lines appear at the position of integer-times symbol rate. The results show that the correct rate of MPSK signal$'$s symbol rate estimation is larger than 90 % at SNR $>$ 1 dB.
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Key words:
- MPSK signals /
- symbol rate estimation /
- Hilbert transform /
- wavelet transform
1) 本文责任编委 付俊 -
图 3 不同信噪比下MPSK信号码元速率估计正确率
Fig. 3 Correct rate of symbol rate estimation for MPSK signals in different SNR
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