A VLSI array processing oriented Fast Fourier Transform algorithm and hardware implementation

Zhenyu Liu*, Yang Song, Takeshi Ikenaga, Satoshi Goto

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

1 Citation (Scopus)


Many parallel Fast Fourier Transform (FFT) algorithms adopt multiple stages architecture to increase performance. However, data permutation between stages consumes volume memory and processing time. An FFT array processing mapping algorithm is proposed in this paper to overcome this demerit. In this algorithm, arbitrary 2k butterfly units (BUs) could be scheduled to work in parallel on n=2sdata (k=0, 1, ..., s-1). Because no inter stage data transfer is required, memory consumption is reduced to 1/3 of the original algorithm. Moreover, with the increasing of BUs, not only does throughput increase linearly, system latency also decreases linearly. This array processing orientated architecture provides flexible tradeoff between hardware cost and system performance. An 18-bit word-length 1024-point FFT architecture with 4 BUs is given to demonstrate this mapping algorithm. The design is implemented with TSMC 0.18μm CMOS technology. The core area is 2.99×1.12mm2 and clock frequency is 326MHz in typical condition (1.8V, 25°C). This processor could complete 1024 FFT calculation in 7.839μs.

Original languageEnglish
Number of pages5
Publication statusPublished - 2005
Event2005 ACM Great Lakessymposium on VLSI, GLSVLSI'05 - Chicago, IL, United States
Duration: 2005 Apr 172005 Apr 19


Conference2005 ACM Great Lakessymposium on VLSI, GLSVLSI'05
Country/TerritoryUnited States
CityChicago, IL


  • Array Processing
  • Fast Fourier Transform (FFT)
  • Singleton Algorithm

ASJC Scopus subject areas

  • Engineering(all)


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