Multirate systems and filter banks
Multirate systems and filter banks
Continuous and discrete fractional Fourier domain decomposition
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
Optimal filtering in fractional Fourier domains
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Fractional Chirp Scaling Algorithm: Mathematical Model
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing - Part I
Digital computation of the fractional Fourier transform
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
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In this paper, we present an efficient FPGA implementation method of fractional Fourier transform (FrFT) algorithm. Firstly, a polyphase implementation of the FrFT computation algorithm base on the theory of multirate signal processing and filter banks is proposed. This polyphase implementation costs less computations and its parallel structure is suitable for FPGA realization. Then we present one computational method, which improve the resolution on any portion of fractional spectrum. Some realization details, such as the parity restrictions of signal length, special interval for transform order, interpolation filter, continuous frame computation and continuous order computation are also investigated. Finally, the efficiency of the novel method is verified by FPGA implementation results.