Simplified Computation Method of Useful Functions in the Offset Fractional Fourier Transform
DOI:
https://doi.org/10.24252/msa.v14i1.66372Keywords:
fourier transform, gaussian function, offset fractional fourier transformAbstract
The offset fractional Fourier transform (OFRFT) may be interpreted as a generalization of the classical Fourier transform since the Fourier transform itself represents a particular case of the linear canonical transform. Due to this relationship, the OFRFT has become a useful tool in signal analysis. Several essential properties of the Fourier transform can be extended to the OFRFT domain with appropriate modifications. In this paper, we investigate the analytical connection between the offset fractional Fourier transform and the classical Fourier transform. Based on this relationship, an efficient method for evaluating the Gaussian function in the OFRFT domain is developed. To demonstrate the applicability of the proposed approach, several examples involving Gaussian functions in the OFRFT domain are presented.References
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