Selection of Dimensional Normalization Parameter in Digital Computation of the Fractional Fourier Transform

摘要：

In the digital computation of the fractional Fourier Transform, the dimensional normalization is needed. The initial frequency and chirp rate of a chirp signal are changed by the dimensional normalization parameter, and the position of the chirp signal’s peak on the two-dimensional parameter (p, u) plane is also changed. This influences the detection of the multi-component chirp signals. In order to decrease the influence, a method is presented to choose the dimensional normalization parameter, based on the distance between two chirp signals’ peaks. First, the coordinates of the chirp signal’s peak is educed on the (p, u) plane. And the relationships between the dimensional normalization paramet- er and the distances between two chirp signals’ peaks on p axis and on u axis are analyzed. It is discovered that the distances varies with the dimensional normalization parameter and they both have their own maximums. By changing signals’ observa- tion time and sampling frequency, selecting a reasonable dimensional normalization parameter can increase the distances between two signals’ peaks. It can improve multi- component chirp signals’ resolution ability and reduce the shading effect between strong signals and weak signals. The effectiveness of the method is verified by the computer simulations.

关键词： fractional Fourier transform dimensional normalization parameter selection

作者: XU Huifa LIU Feng

作者单位: Department of Electronic Engineering Naval Aeronautical Engineering Institute Yantai,Shandong 264001,China

会议类型: 国际会议

会议名称: 2010 IEEE信息与自动化国际会议(ICIA 2010)

会议地点: 哈尔滨

会议语种:英文

页码: 1-5

在线出版日期: 2010-06-20（万方平台首次上网日期，不代表论文的发表时间）