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关于矩形脉冲类信号距离分辨力的算法研究

Study on Algorithm of Range Resolution of Signals Like Rectangular Pulse

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【作者】 郭强陶然王越周思永单涛

【Author】 GUO Qiang,TAO Ran,WANG Yue,ZHUO Si-yong,SHAN Tao (Department of Electronics Engineering,Beijing Institute of Technology,Beijing 100081,China)

【机构】 北京理工大学电子工程系北京理工大学电子工程系 北京100081北京100081北京100081

【摘要】 考查信号的距离分辨力主要从距离名义分辨参数和时延分辨常数两个方面入手 .然而 ,对矩形脉冲信号来说 ,按常规定义式计算距离名义分辨力 ,需要距离模糊函数的积分运算或对正弦函数进行无穷积分 ,这些积分运算往往较为复杂或为不定值 ;因此 ,得不出有效结果 .本文则大胆抛开了定义计算式 ,而是在模糊函数矩阵中 ,找出半功率点的列数 ,使得这一问题得到解决 ,为此类信号距离名义分辨力的计算提出了一个全新的概念 .另外 ,对时延分辨常数的计算 ,则是在原定义式的基础上 ,利用帕塞瓦定理 ,推出了一个时域表达式 ,从而巧妙避开了对正弦函数的无穷积分问题 ,为此类信号的分辨力分析提供了一种新的算法 .特别是在对“同步加白”信号的验证计算中 ,再次利用帕塞瓦定理将多周期“同步加白”信号模糊函数的积分问题化为了单周期“同步加白”信号模糊函数的积分运算 ,大大简化了计算过程 .

【Abstract】 The measurement on the range resolution of signals is mainly based on nominal range resolution parameter and delay resolution constant.However,in calculating the range nominal resolution of rectangular pulse signals using conventional definition formula,quadrature operation for range ambiguity function or infinite integration for "SIN" function is required.But these integral operations are often so complex or indefinite as not to give an effective result.Being apart from the definition formula boldly,the paper proposes to search for the columns in the ambiguity function matrix where the "half power point" exists and solves the problem above mentioned.It puts forward a completely new idea for calculating the resolution of this kind signal.In addition,with calculation for delay resolution constant,an expression in time-domain is derived using Parseval theorem on the basis of the original definition,thus,infinite integration for "SIN" function is ingeniously avoided.It provides a novel method for calculation for delay resolution constant.Particularly,in verification operation for "sync-plus-white" signal,using Parseval theorem again,the quadrature for "sync-plus-white" signal in several periods is changed into that in one period,thus making the computation simplified greatly.

【基金】 国家自然科学基金 (No 60 2 32 0 1 0 ) ;高等学校青年教师奖资助项目 (No 2 0 0 2 2 )
  • 【文献出处】 电子学报 ,Acta Electronica Sinica , 编辑部邮箱 ,2003年06期
  • 【分类号】TN957.51
  • 【被引频次】2
  • 【下载频次】184
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