无乘法器的高吞吐量FFT处理器

S. Abdulla, Haewoon Nam, Mark McDermot, J. Abraham
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引用次数: 33

摘要

提出了一种基于展开CORDIC结构实现超高速fft的新技术。在FFT算法实现方面已经有了大量的研究;大多数研究都集中在通过FFT算法的选择和有效分解来降低计算复杂度。然而,由于CORDIC算法的递归性质,在FFT实现中使用CORDIC结构的研究并不多,特别是对于大型、高速和高吞吐量的FFT变换。本文的关键思想是用非迭代的CORDIC微旋转取代传统FFT架构中的正弦和余弦旋转因子,这使得只读存储器(ROM)表大小大幅减少(~ 50%),并完全去除复杂乘法器。本文还提出了一种基于均方误差(MSE)的新方法来推导期望FFT应用的最佳展开/展开因子。在Virtex-4 FPGA上实现,基于CORDIC的FFT运行速度比基于复杂乘法器的等效FFT实现快3.9倍,占地面积少37%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A high throughput FFT processor with no multipliers
A novel technique for implementing very high speed FFTs based on unrolled CORDIC structures is proposed in this paper. There has been a lot of research in the area of FFT algorithm implementation; most of the research is focused on reduction of the computational complexity by selection and efficient decomposition of the FFT algorithm. However there has not been much research on using the CORDIC structures for FFT implementations, especially for large, high speed and high throughput FFT transforms, due to the recursive nature of the CORDIC algorithms. The key ideas in this paper are replacing the sine and cosine twiddle factors in the conventional FFT architecture by non-iterative CORDIC micro-rotations which allow substantial (~ 50%) reduction in read-only memory (ROM) table size, and total removal of complex multipliers. A new method to derive the optimal unrolling/unfolding factor for a desired FFT application based on the MSE (mean square error) is also proposed in this paper. Implemented on a Virtex-4 FPGA, the CORDIC based FFT runs 3.9 times faster and occupies 37% less area than an equivalent complex multiplier-based FFT implementation.
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