文章基本信息

标题：Correlation Theorem for Fractional Fourier Transform
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作者：A. K. Singh ; R. Saxena
期刊名称：International Journal of Signal Processing, Image Processing and Pattern Recognition
印刷版ISSN：2005-4254
出版年度：2011
卷号：4
期号：2
出版社：SERSC
摘要：The fractional Fourier transform (FRFT), which is considered as a generalization of the Fourier transform (FT), has emerged as a very efficient mathematical tool in signal processing for signals which are having time-dependent frequency component. The FRFT has an advantage over other transforms being used in the application areas like: signal processing and optics. Some of the properties are still not established or defined in FRFT domain. An effort is made to derive the correlation theorems for FRFT along with the establishment of their respective properties. The proposed auto-correlation theorem is also used to determine the power spectral density of frequency modulated (FM) signal. The results are found in conformity with the standard one.
关键词：FRFT; Time-Frequency Plane; Cross- and Auto-Correlation Function.