Fractional Fourier analysis of signal reconstruction from finite samples by fractional convolution

Author

Deng, Bing ; Ping, Dian-fa ; Su, Feng

Author_Institution

Dept. of Electron. & Inf. Eng., Naval Aeronaut. & Astronaut. Univ., Yantai

fYear

2008

Firstpage

30

Lastpage

33

Abstract

The method of signal reconstruction from finite samples by convolution can be used for range cell migration correction in SAR. Since the fractional Fourier transform(FRFT), as the generalization of Fourier transform, has been investigated to process SAR data in recent years, it is necessary to analyze this foregoing method in the FRFT domain. In this paper, the reconstruction formula is reviewed in the FRFT domain by virtue of the fractional convolution. And then the analysis of reconstruction error is made, which result from finite samples. Finally, the normalization formulas of the intercepted convolution kernel are shown.

Keywords

Fourier transforms; convolution; error analysis; signal reconstruction; cell migration correction; fractional Fourier analysis; fractional convolution; intercepted convolution kernel; reconstruction error analysis; signal reconstruction; Analytical models; Convolution; Error analysis; Fourier transforms; Information analysis; Kernel; Signal analysis; Signal processing; Signal processing algorithms; Signal reconstruction;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing, 2008. ICSP 2008. 9th International Conference on

Conference_Location

Beijing

Print_ISBN

978-1-4244-2178-7

Electronic_ISBN

978-1-4244-2179-4

Type

conf

DOI

10.1109/ICOSP.2008.4697061

Filename

4697061