Abstract— Over the last two decades, discrete fractional Fourier transform (DFrFT), which is a generalization of the discrete Fourier transform (DFT), has attracted a lot of attention of the researchers. Several methods for computation of the DFrFT have been discussed in the literature but very little effort has been made towards realizing a dedicated hardware for its real time computation. In this paper we propose an application specific integrated circuit (ASIC) design for 16-point DFrFT computation of a 1D signal, which has been synthesized using Very High Speed Integrated Circuit hardware description language (VHDL). The same design can be easily extended for any number of signal samples. The simulation results of the proposed ASIC are very close to the theoretical DFrFT results obtained using the MATLAB software.
Index Terms— Discrete fractional fourier transform, ASIC, VHDL, eigen vector decomposition.
The authors are with the Department of Electronics and Communication, National Institute of Technology, Jaipur, India (e-mail: kksharma_mrec@ yahoo.com, abdulsamad.jaipur@gmail.com).
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Cite: K. K. Sharma and Abdul Samad, " Application Specific Integrated Circuit Implementation of Discrete Fractional Fourier Transform," International Journal of Information and Electronics Engineering vol. 3, no. 5, pp. 444-447, 2013.
