FPGA Implementation of High-Performance Truncated Rounding based Approximate Multiplier with High-Level Synchronous XOR-MUX Full Adder

G. Erna, G. Srihari, M. P. Kishore, Ashok Nayak B., M. Bharathi
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Abstract

In research and development, the most emerging field in digital signal processing and image processing is rounded-based approximated signed and unsigned multipliers. In the present research, we propose some cutting-edge, Preformation, and logic simplification technology connected to processing the Discrete cosine transform (DCT) and Discrete wavelet transform (DWT) images for sharpening. This technology will yield a truncated shifter incorporated with logical XOR-MUX Full adder techniques. A reliable and cost-effective approximate signed and unsigned multiplier was created for the rounding method. While this more advanced technology includes many approximate multipliers, it sacrifices the ability to find the closest integer of a rounded value when combining signed and unsigned capabilities, resulting in higher absolute errors than other approximate multipliers based on rounding. This proposed work will introduce a novel method of Truncated Shifter Rounding-based Approximate Multiplier integrated with a High-Level Synchronous XOR-MUX Full Adder design to minimize the number of logic gates and power consumption in the multiplier architecture. The Truncated RoBA (Rounding-based Approximate Multiplier) with XOR MUX Full Adder will reduce the logic size in the shifter and the arithmetic circuit. The work will modify this rounding-based approximate multiplier to minimize area, delay, and power consumption. This proposed architecture will be integrated with two fundamental changes: firstly, its Barrel shifter method will be replaced with a truncated shifter multiplier with XOR MUX Full Adder, and secondly, the parallel prefix Brent Kung adder will be replaced with a carrying-save adder with XOR MUX Full Adder. Finally, this architecture was designed using Verilog-HDL and synthesized using the Xilinx Vertex-5 FPGA family, targeting the device Xc7Vx485tFFg1157-1. It resulted in a reduction of area LUT (34%), power (1%), delay (32%), and error analysis (75%) when compared to the existing RoBA.
基于截断舍入的高性能近似乘法器与高层同步 XOR-MUX 全加法器的 FPGA 实现
在研究和开发中,数字信号处理和图像处理中最新兴的领域是基于四舍五入的近似有符号和无符号乘法器。在本研究中,我们提出了一些与处理离散余弦变换(DCT)和离散小波变换(DWT)图像进行锐化相关的前沿、预形成和逻辑简化技术。该技术将产生一个截断移位器与逻辑XOR-MUX全加法器技术相结合。为四舍五入法建立了一种可靠、经济的近似有符号和无符号乘法器。虽然这种更先进的技术包括许多近似乘数,但在结合有符号和无符号功能时,它牺牲了找到最接近整数的四舍五入值的能力,从而导致比基于四舍五入的其他近似乘数更高的绝对误差。本文提出的工作将引入一种基于截断移位器舍入的近似乘法器的新方法,该方法集成了高级同步XOR-MUX全加法器设计,以最大限度地减少乘法器架构中的逻辑门数量和功耗。截断RoBA(基于舍入的近似乘法器)与XOR MUX全加法器将减少在移位器和算术电路中的逻辑大小。这项工作将修改这个基于四舍五入的近似乘法器,以最小化面积、延迟和功耗。该架构将集成两个基本变化:首先,将其桶移法方法替换为XOR MUX全加法器的截断移位乘法器;其次,将并行前缀Brent Kung加法器替换为XOR MUX全加法器的免进位加法器。最后,以器件Xc7Vx485tFFg1157-1为目标,采用Verilog-HDL进行结构设计,并用Xilinx Vertex-5 FPGA系列进行合成。与现有的RoBA相比,它减少了面积LUT(34%),功率(1%),延迟(32%)和误差分析(75%)。
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