Efficient Systolic Designs for 1- and 2-Dimensional DFT of General Transform-Lengths for High-Speed Wireless Communication Applications

  • Authors:
  • Pramod K. Meher;Jagdish C. Patra;A. P. Vinod

  • Affiliations:
  • School of Computer Engineering, Nanyang Technological University, Singapore, Singapore 639798;School of Computer Engineering, Nanyang Technological University, Singapore, Singapore 639798;School of Computer Engineering, Nanyang Technological University, Singapore, Singapore 639798

  • Venue:
  • Journal of Signal Processing Systems
  • Year:
  • 2010

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Abstract

In wireless communication, multiple receive-antennas are used with orthogonal frequency division multiplexing (OFDM) to improve the system capacity and performance. The discrete Fourier transform (DFT) plays an important part in such a system since the DFTs are required to be performed for the output of all those antennas separately. This paper presents area-time efficient systolic structures for one-dimensional (1-D) and two-dimensional (2-D) DFTs of general lengths. A low-complexity recursive algorithm based on Clenshaw's recurrence relation is formulated for the computation of 1-D DFT. The proposed algorithm is used further to derive a linear systolic array for the DFT. The concurrency of computation has been enhanced and complexity is minimized by the proposed algorithm where an N驴驴point DFT is computed via four inner-products of real-valued data of length 驴驴(N/2). The proposed 1-D structure offers significantly lower latency, twice the throughput, and involves nearly the same area-time complexity of the corresponding existing structures. The proposed algorithm for 1-D DFT is extended further to obtain a 2-D systolic structure for the 2-D DFT without involving any transposition operation.