基于Cooley Tukey算法的并行FFT架构设计

Ruchira Shirbhate, T. Panse, Chetan Ralekar
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引用次数: 6

摘要

本文提出了一种并行FFT架构,利用基数为8的Cooley Tukey算法提供高效的吞吐量和更低的能耗。在该算法中,N大小的DFT被分成N/2大小的较小的DFT,并重复,直到找到最终的DFT标量。它将DFT分成偶数项和奇数项。通过采用并行结构,减少了按预定义公式(Nlog2(N))计算的计算时间。能量的定义是每单位时间所使用的功率。并行架构有助于同时执行多个操作。由于所需的时间更少,能源效率提高了。本文的目的是检验库利-图基算法在高基数情况下的吞吐量和效率。FPGA即现场可编程门阵列(Field Programmable Gate Array)的发展是该算法的最新发展趋势,因为它可以并行地完成信号处理任务,执行流水线结构,加快繁琐算法的计算速度。Cooley - Tukey算法的主要优点是减少了算法计算量,处理速度快。由于该算法将DFT分解成更小的DFT,因此可以与任何其他算法同时组合。
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Design of parallel FFT architecture using Cooley Tukey algorithm
In this paper, a parallel FFT architecture is proposed to give an efficient throughput and less energy consumption with the help of Cooley Tukey algorithm for radix 8. In this algorithm the DFT of N size is divided into smaller sizes of N/2 and repeated until final DFT scalars are found. It divides the DFT in even index and odd index term. The computation time which is calculated by the pre defined formula (Nlog2(N)) is reduced by the use of parallel architecture. Energy is defined as power used per unit time. Parallel architecture helps to perform number of operations simultaneously. As less time is required, the energy is efficiency is increased. The aim of this paper is to check throughput and efficiency using Cooley Tukey algorithm for higher radix. The recent trends of this algorithm is development of FPGA that is Field Programmable Gate Array as it can perform signal processing tasks in parallel, execute pipeline structure as well as speed up the computation of tedious algorithms. The main advantage of Cooley Tukey algorithm is that it reduces arithmetic computations as well as fast processing. As this algorithm divides the DFT into smaller DFTs, it can be combined with any other algorithm simultaneously.
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