Abstract
The main contribution of this paper is to present a very efficient FPGA implementation, which performs the Approximate String Matching (ASM) for a pattern string and a text string of length m and n, respectively. It is well known that the ASM can be done in O(mn) time by the dynamic programming technique. Myers has presented a sophisticated sequential algorithm called bit-vector algorithm, which performs the ASM in O(n) time using m-bit addition and bitwise operations. Hoffmann et al. have implemented the bit-vector algorithm in the FPGA and evaluated the performance. However, the performance of the bit-vector circuit implemented in the FPGA is degraded for large m due to a long critical path of length proportional to m. We will present a circuit with O(1)-length critical path that performs the ASM with very high clock frequency and throughput. Also, to reduce the hardware usage, we present a hybrid circuit of the bit-vector and our ASM circuits. The experimental results show that, our hybrid circuit for the ASM is 20 times more efficient than the bit-vector circuit in terms of the performance per circuit resource. To see the potentiality of the ASM computation on the FPGA, we evaluated the performances of the ASM on the latest FPGA, GPU, and CPU. Our hybrid circuit implemented in Xilinx Virtex UltraScale+ XCVU9P FPGA is more than 58 times and 1400 times faster than parallel ASM computation on NVIDIA TITAN~X GPU and Core i7-6700K CPU, respectively. Thus, the FPGA is promising as an accelerator of the ASM.
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