高吞吐率双模浮点可重构FFT处理器设计实现

高吞吐浮点可灵活重构的快速傅里叶变换(FFT)处理器可满足尖端雷达实时成像和高精度科学计算等多种应用需求。与定点FFT相比，浮点运算复杂度更高，使得浮点型FFT的运算吞吐率与其实现面积、功耗之间的矛盾问题尤为突出。鉴于此，为降低运算复杂度，首先将大点数FFT分解成若干个小点数基2k 级联子级实现，提出分别针对128/256/512/1024/2048点FFT的优化混合基算法。同时，结合所提出同时支持单通道单精度和双通道半精度两种浮点模式的新型融合加减与点乘运算单元，首次提出一款高吞吐率双模浮点可变点FFT处理器结构，并在28 nm标准CMOS工艺下进行设计并实现。实验结果表明，单通道单精度和双通道半精度浮点两种模式下的运算吞吐率和输出平均信号量化噪声比分别为3.478 GSample/s, 135 dB和6.957 GSample/s, 60 dB。归一化吞吐率面积比相比于现有其他浮点FFT实现可提高约12倍。

High Throughput Dual-mode Reconfigurable Floating-point FFT Processor

In the advanced applications of real-time radar imaging and high-precision scientific computing systems, the design of high throughput and reconfigurable Floating-Point (FP) FFT accelerator is significant. Achieving high throughput FP FFT with low area and power cost poses a greater challenge due to high complexity of FP operations in comparison to fixed-point implementations. To address these issues, a serial of mixed-radix algorithms for 128/256/512/1024/2048-point FFT are proposed by decomposing long FFT into short implementations with cascaded radix-2k stages so that the complexity of multiplications can be significantly reduced. Besides, two novel fused FP add-subtract and dot-product units for dual-mode functionality are proposed, which can either compute on a pair of double precision operands or on two pairs of single precision operands in parallel. Thus, a high throughput dual-mode floating-point variable length FFT is designed. The proposed processor is implemented based on SMIC 28 nm CMOS technology. Simulation results show that the throughput and Signal-to-Quantization Noise Ratio (SQNR) in single-channel single precision and dual-channel half precision floating-point mode are 3.478 GSample/s, 135 dB and 6.957 GSample/s, 60 dB respectively. Compare to the other FP FFT, this processor can achieve 12 times improvement of normalized throughput-area ratio.