正弦波突发参数估计误差的Cramer-Rao下界

H. Ge, D. Tufts
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引用次数: 1

摘要

本文研究了在估计正弦波突发参数时,实际考虑因素对Cramer-Rao下界的一些影响。这些考虑包括用已知带通滤波器滤波接收波形的影响,以及相对于接收信号脉冲的支持,观测时间间隔的位置和范围的影响。我们发现滤波的影响很小。滤波器响应的尾部部分提供的关于信号参数的信息很少。信号脉冲的初始瞬态部分提供了到达时间的重要信息。最后通过数值计算验证了分析结果。
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Cramer-Rao Lower Bounds on the Errors in Estimating the Parameters of a Burst of Sinusoid
This paper investigates some effects of practical considerations on the Cramer-Rao Lower Bounds in estimating the parameters of a burst of sinusoid. These considerations include the effect of filtering the received waveform with a known bandpass filter and the effect of the location and extent of the observation time interval, relative to the support of the received signal pulse. We find that the effect of filtering is small. The tail portion of the filter response provides little information about signal parameters. The initial transient portion of the signal pulse provides important information about time of arrival. Finally analytical results are verified through numerical evaluation.
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