北京航空航天大学学报 ›› 2005, Vol. 31 ›› Issue (05): 561-565.

• 论文 • 上一篇    下一篇

Chirp哈特利、Chirp余弦、Chirp正弦变换

边勇, 周荫清, 李春升   

  1. 北京航空航天大学 电子信息工程学院, 北京 100083
  • 收稿日期:2003-12-18 发布日期:2010-11-22
  • 作者简介:边 勇(1972-),男,辽宁北宁人,博士生, bianyongcn@sohu.com.

Chirp Hartley, Chirp cosine and Chirp sine transforms

Bian Yong, Zhou Yinqing, Li Chunsheng   

  1. School of Electronics and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2003-12-18 Published:2010-11-22

摘要: 给出了连续Chirp哈特利变换、连续Chirp余弦变换、连续Chirp正弦变换的定义.还给出了离散Chirp哈特利变换、离散Chirp余弦变换、离散Chirp正弦变换的定义.采用这几种变换估计实多项式信号的参数.详细研究了二阶离散Chirp哈特利变换、二阶离散Chirp余弦变换、二阶离散Chirp正弦变换的参数估计性能.简要分析了三阶离散Chirp哈特利变换.由于二阶离散Chirp余弦变换和二阶离散Chirp正弦变换检测信号时存在虚假信号,提出一种消除虚假信号的方法,该方法在增加一定计算量的情况下可以有效地消除虚假信号,并降低旁瓣.进行了二阶离散Chirp哈特利变换、二阶离散Chirp余弦变换、二阶离散Chirp正弦变换的计算机仿真.进行了三阶离散Chirp哈特利变换的计算机仿真.计算机仿真结果验证了分析的正确性.

Abstract: The definitions of analog Chirp Hartley transform, analog Chirp cosine transform, and analog Chirp sine transform were given firstly. The definitions of discrete Chirp Hartley transform, discrete Chirp cosine transform, and discrete Chirp sine transform were given secondly. These transforms were used to estimate the parameters of real polynomial signal. The parameter estimation ability of two-order discrete Chirp Hartley transform, two-order discrete Chirp cosine transform, and two-order discrete Chirp sine transform were researched in detail. The three-order discrete Chirp Hartley transform was discussed briefly. In order to eliminate the spurious signal in the processing results of two-order discrete Chirp cosine transform and two-order discrete Chirp sine transform, a method that can eliminate spurious signal effectively and depress the sidelobe with a little more computation burden was presented. The computer simulations of two-order discrete Chirp Hartley transform, two-order discrete Chirp cosine transform, and two-order discrete Chirp sine transform were performed. The computer simulation of three-order discrete Chirp Hartley transform was performed. The computer simulations prove the validity of the analysis.

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