用FPGA硬件实现FFT的时延和面积分析

R. Akhil, Jithendreswar Rao Koleti, Adusumilli Vijaya Bhaskar, Volladam Sathish, Bolepalli Arjun Goud
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引用次数: 5

摘要

快速傅里叶变换(FFT)的硬件实现由乘法和累加等复杂的算术运算组成。本文的核心思想是实现8点基数2 DIT (Decimation In Time) FFT。在FFT算法中,三角函数用CORDIC算法代替了传统的生成正弦和余弦的方法生成中间因子。对于乘法和累加单元,使用了不同的乘法器,即CORDIC乘法器、单精度浮点乘法器。实现中使用的加法器块是线性加法器,如纹波进位加法器(RCA)和并行前缀加法器,如Kogge-Stone加法器(KSA)。采用VIVADO 2016.2版本的VHDL,在Xilinx ZYNQ FPGA板上进行编程,实现了FFT的乘法器和加法器的不同组合。采用单精度浮点乘法器与CORDIC乘法器和koggestone加法器相结合的FFT实现比其他组合具有更好的延迟性能。在面积方面,CORDIC乘法器与纹波进位加法器的组合性能最好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Delay and Area analysis of hardware implementation of FFT using FPGA
The hardware realization of fast fourier transform (FFT) consists of complex arithmetic operations such as multiply and accumulate. The key idea of this paper is to implement the 8-point Radix-2 DIT (Decimation In Time) FFT. In the FFT algroithm the twiddle factor generation by traditional method of generating sine and cos is replaced by the CORDIC algorithm for trigonometric functions. For the multiply and accumulate unit, different multipliers were used namely CORDIC multiplier, Single precision floating point multiplier. The adder blocks used in the implementation are linear adders such as Ripple Carry Adder (RCA) and parallel prefix adders such as Kogge-Stone Adder (KSA). Different combinations of multipliers and adders are used in the implementation of FFT, using VHDL in VIVADO 2016.2 version and programmed it in Xilinx ZYNQ FPGA board. The FFT implementation using single precision floating point multiplier incorporated with CORDIC multiplier and koggestone adder gives better delay performance compared to other combinations. In terms of area the combination of CORDIC multiplier with Ripple carry adder performs best.
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