Fast Image Convolution and Pattern Recognition using Vedic Mathematics on Field Programmable Gate Arrays (FPGAs)

Jagadish Nayak, Smitha Bhat Kaje
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Abstract

A major part of image processing involves convolution process. The pattern recognition techniques which are implemented through Convolutional Neural Networks (CNN) also involves two-dimensional (2D) convolution. The 2D convolution process consists of enormous multiplication operation, which need to be implemented in real time. There is a requirement of fast multiplier for the same operation. Vedic multiplier proved to be faster compared to the conventional multiplication operation. A 2D convolution-based pattern recognition system, which makes use of Vedic Multipliers is proposed in this paper. The proposed system is implemented on Field Programmable Gate Arrays (FPGA) with Verilog programming. The results of Vedic multiplier based convolution and pattern recognition are compared with the conventional multiplier such as Booths algorithm multiplier. The parametric comparison is done in terms of Number of Slice LUT's, Number of Slice Registers, speed and frequency of operation. Results show that there is significant improvement in above said parameters for Vedic multiplier-based convolution in pattern recognition system.
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现场可编程门阵列(fpga)上基于吠陀数学的快速图像卷积和模式识别
图像处理的一个主要部分涉及卷积处理。通过卷积神经网络(CNN)实现的模式识别技术也涉及二维(2D)卷积。二维卷积过程包含大量的乘法运算,需要实时实现。同样的运算需要快速的乘法器。吠陀乘数被证明比传统的乘法运算要快。提出了一种利用吠陀乘法器的二维卷积模式识别系统。该系统在现场可编程门阵列(FPGA)上使用Verilog编程实现。将基于Vedic乘法器的卷积和模式识别结果与传统乘法器(如booth算法乘法器)进行了比较。参数比较是根据片LUT的数量、片寄存器的数量、速度和操作频率来完成的。结果表明,基于吠陀乘数的卷积在模式识别系统中对上述参数有显著改善。
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