相位噪声对时差估计的影响分析
doi: 10.3724/SP.J.1146.2013.01909
Analysis of the Effect of Phase Noise on Time Difference Estimation
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摘要: 在到达时间差(TDOA)测量中,两异地接收站所配备的本振都会存在相位噪声,该相位噪声会影响时差测量的性能。该文分析了相位噪声对经典的互相关法时差估计无偏性的影响,同时推导了仅考虑相位噪声时TDOA估计精度的克拉美罗下限(CRLB)。并进一步得到了相位噪声与加性噪声都存在时的CRLB及其相对于加性噪声环境下的CRLB退化系数。仿真结果验证了理论分析的结果。
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关键词:
- 信号处理 /
- 到达时间差(TDOA) /
- 相位噪声 /
- 克拉美罗下限(CRLB) /
- 互相关法
Abstract: In the Time Difference Of Arrival (TDOA) measurement system, the performance of time difference estimation degrades due to the inevitable presence of phase noises of local oscillators at spatially separated receivers. The effect of the phase noise on the unbiasedness of classic cross-correlation time difference estimator is discussed herein, as well as the Cramr-Rao Lower Bound (CRLB) of estimation is derived in the phase noise environment. Furthermore, the CRLB of time difference estimation in additive noise environment with phase noise considered is derived. The CRLB degradation coefficient with respect to the CRLB in the additive noise environment is also given. The theoretical analysis is validated by the simulation results.
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