원문정보
초록
영어
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.
목차
1. Introduction
2. FRFT and Classical Correlation Theorem
3. Proposed Identities for FRFT
3.1. Cross-Correlation Theorem
3.2. Auto-Correlation Theorem
4. Comparison of Different Methods of Obtaining Correlation
5. Power Spectrum Estimation
6. Conclusion
References