| 采样信号周期数对克拉美-罗下界的影响 |
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| 引用本文： | 黄清,谈振辉.采样信号周期数对克拉美-罗下界的影响[J].铁道学报,2010,32(1). |
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| 作者姓名： | 黄清 谈振辉 |
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| 作者单位： | 北京交通大学,轨道交通国家重点实验室,北京,100044 |
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| 基金项目： | 国家高技术研究发展计划(863计划)，国家自然科学基金，教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 短时信号处理是信号处理的经典问题,但是关于最短信号长度尚无文献给出明确的建议.本文采用数值方法对正弦信号的克拉美-罗下界CRLB(Cramer-Rao Lower Bound)进行了研究并给出最短信号长度的取值,结果为:(1)根据采样信号周期数CiR(Cycles in Record)对CRLB的影响程度,把CiR分为高频段、低频段和极低频段进行研究;(2)极低频段的CRLB随CiR的下降急剧上升,且与信号相位有很大的关系;(3)最短采样信号周期数为CiR=0.8285,若低于这个临界值,无法保证估计算法的精度.
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| 关 键 词： | 克拉美-罗下界 短时信号 认知无线电 |
Effects of the Cycles in Record on the Cramer-Rao Lower Bound |
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| HUANG Qing,TAN Zhen-hui.Effects of the Cycles in Record on the Cramer-Rao Lower Bound[J].Journal of the China railway Society,2010,32(1). |
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| Authors: | HUANG Qing TAN Zhen-hui |
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| Institution: | HUANG Qing,TAN Zhen-hui(State Key Laboratory of Rail Traffic Control , Safety,Beijing Jiaotong University,Beijing 100044,China) |
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| Abstract: | The critical length of the shortest record was not suggested in literature,though the short-time signal process is essential in signal analysis community.To answer this question,the dependence of the Cramer-Rao lower bound(CRLB) was investigated numerically.It is shown that,firstly,the dependence of CRLB on cycles in record(CiR) can be dissected into three bands,viz,the high-frequency band,the extremely low frequency band and the low frequency band;secondly,the CRLB over the extremely low frequency band inc... |
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| Keywords: | cramer-rao lower bound short data record cognitive radio |
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