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研究了分数阶Fourier域周期非均匀采样以及多通道采样的滤波器组高效插值和重建方法.首先,根据分数阶Fourier变换的性质,得到了分数阶Fourier域插值和采样的恒等结构;然后根据该恒等结构,得到了从分数阶Fourier域多通道采样和周期非均匀采样中重建原始信号的滤波器组高效实现方法;最后建立了分数阶Fourier域多通道采样和分数阶Fourier域滤波器组的关系,并进一步说明可以通过分数阶Fourier域准确重建滤波器组,导出分数阶Fourier域新的采样和重建策略.
The method of efficient interpolation and reconstruction of filter bank for periodic non-uniform sampling and multichannel sampling in fractional Fourier domain is studied.Firstly, according to the properties of fractional Fourier transform, the constant structure of fractional Fourier domain interpolation and sampling is obtained. Then, In this structure, an efficient implementation of the filter bank for reconstructing the original signal from the fractional Fourier domain multi-channel sampling and period non-uniform sampling is achieved. Finally, a fractional Fourier domain multi-channel sampling and fractional Fourier domain filter bank And further illustrates that the new sampling and reconstruction strategy of fractional Fourier domain can be derived by accurately reconstructing filter banks by fractional Fourier domain.