Fractional quaternion Fourier transform, convolution and correlation
作者： Xu Guanlei , Wang Xiaotong , Xu Xiaogang
DOI: 10.1016/J.SIGPRO.2008.04.012
关键词:
摘要: The concept of fractional quaternion Fourier transform (FRQFT) is defined in this paper, and the reversibility property, linear odd-even invariant additivity property other properties are presented. Meanwhile, convolution (FRQCV), correlation (FRQCR) product theorem deduced, their physical interpretations given as classical convolution, theorem. Moreover, fast algorithms FRQFT (FFRQFT) yielded well. In addition, we have discovered relationship between domain, so that can be implemented via domain using (FFT). Our paper proved computation complexities FRQFT, FRQCV FRQCR similar to FFT.
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