Vedic Mathematics Based Multiply Accumulate Unit

Devika Jaina, K. Sethi, Rutuparna Panda
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引用次数: 93

Abstract

In most of the digital signal processing (DSP) applications the critical operations are the multiplication and accumulation. Real-time signal processing requires high speed and high throughput Multiplier-Accumulator (MAC) unit that consumes low power, which is always a key to achieve a high performance digital signal processing system. In this paper, design of MAC unit is proposed. The multiplier used inside the MAC unit is based on the Sutra "Urdhva Tiryagbhyam" (Vertically and Cross wise) which is one of the Sutras of Vedic mathematics. Vedic mathematics is mainly based on sixteen Sutras and was rediscovered in early twentieth century. In ancient India, this Sutra was traditionally used for decimal number multiplications within less time. The same concept is applied for multiplication of binary numbers to make it useful in the digital hardware. Here, the coding is done in VHDL and synthesis is done in Xilinx ISE series. The combinational delay obtained after synthesis is compared with the performance of the "Modified Booth Wallace Multiplier" and "High speed Vedic multiplier" presented by Ramesh Pushpangadam. Our proposed Vedic multiplier seems to have better performance.
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基于吠陀数学的乘法累加单位
在大多数数字信号处理(DSP)应用中,关键运算是乘法和累加运算。实时信号处理需要高速、高吞吐量、低功耗的MAC (Multiplier-Accumulator)单元,这一直是实现高性能数字信号处理系统的关键。本文提出了MAC单元的设计方案。MAC单元内部使用的乘数是基于经典“Urdhva Tiryagbhyam”(垂直和交叉方向),这是吠陀数学经典之一。吠陀数学主要以十六经为基础,在二十世纪初被重新发现。在古印度,这部经典传统上用于在较短的时间内进行十进制数字乘法。同样的概念应用于二进制数的乘法,使其在数字硬件中有用。这里,编码是在VHDL中完成的,合成是在Xilinx ISE系列中完成的。将合成后得到的组合延迟与Ramesh Pushpangadam提出的“改进的Booth Wallace乘法器”和“高速Vedic乘法器”的性能进行了比较。我们提议的吠陀乘数似乎有更好的性能。
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