Design of Fast Fourier Transform using Radix-2 Butterfly using Shift Register and Folding technique

Abstract

The Discrete Fourier Transform (DFT) is an important technique in the field of Digital Signal Processing (DSP) and Telecommunications, especially for applications in Orthogonal Frequency Division Multiplexing (OFDM) systems. The Fast Fourier Transform (FFT) is an efficient algorithm to compute the DFT and IDFT. This paper involves the implementation of an area efficient 8-point, 16-point, 32-point, 64-point, 128-point, 256-point, 512- point and 1024-point single path delay feedback (SDF) and folding technique using radix-2 DIT FFT algorithm for signed and unsigned numbers. Implementation for complex numbers is also done for N= 8 and N=16 points.The implemented algorithm used radix-2 butterfly at all stages. It is area efficient and has less delay as compared to previous algorithms. All designs are implemented on vertex-2p device family in Xilinx software. Index Terms— FFT, Folding Technique, Single Path Delay Feedback (SDF), Serial in Serial out Shift Register

Authors and Affiliations

Ranbeer Rathore, Prof. Navneet Kaur

Keywords

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  • EP ID EP392546
  • DOI 10.9790/9622-0710032434.
  • Views 63
  • Downloads 0

How To Cite

Ranbeer Rathore, Prof. Navneet Kaur (2017). Design of Fast Fourier Transform using Radix-2 Butterfly using Shift Register and Folding technique. International Journal of engineering Research and Applications, 7(10), 24-34. https://europub.co.uk/articles/-A-392546