Description: 主題 :
Low power Modified Booth Multiplier
介紹 : 為了節省乘法器面積、加快速度等等，許多文獻根據乘法器中架構提出改進的方式，而其中在1951年，A. D. Booth教授提出了一種名為radix-2 Booth演算法，演算法原理是在LSB前一個位元補上“0”，再由LSB至MSB以每兩個位元為一個Group，而下一個Group的LSB會與上一個Group的MSB重疊(overlap)，Group中的位元。
Booth編碼表進行編碼(Booth Encoding)後再產生部分乘積進而得到最後的結果。
Radix-2 Booth演算法在1961年由O. L. Macsorley教授改良後，提出了radix-4 Booth演算法(modified Booth algorithm)，此演算法的差異為Group所涵括的位元由原先的2個位元變為3個位元。-Theme: Low power Modified Booth Multiplier Introduction: In order to save multiplier size, speed and so on, many papers multiplier in accordance with the framework to improve the way in which in 1951, AD Booth, a professor known as radix-2 Booth algorithm, algorithm theory is a bit LSB before the meeting on Platform: |
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Author:stanly |
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Description: 潘明海 刘英哲 于维双 (论文)
中文摘要：
本文讨论了一种可在FPGA上实现的FFT结构。该结构采用基于流水线结构和快速并行乘法器的蝶形处理器。乘法器采用改进的Booth算法，简化了部分积符号扩展，使用Wallace树结构和4-2压缩器对部分积归约。以8点复点FFT为实例设计相应的控制电路。使用VHDL语言完成设计，并综合到FPGA中。从综合的结果看该结构可在XC4025E-2上以52MHz的时钟高速运行。在此基础上易于扩展为大点数FFT运算结构。
-Pan Minghai Liuying Zhe Yu-dimensional pairs (thesis) Chinese Abstract: This paper discusses an FPGA can be implemented on the structure of the FFT. The architecture based on pipeline architecture and fast parallel multiplier butterfly processor. Multiplier using modified Booth algorithm simplifying the partial product sign extension, use the Wallace tree and 4-2 compressor for partial product reduction. 8-point complex-point FFT as an example design of the corresponding control circuit. To complete the design using the VHDL language, and integrated into the FPGA. From the results of a comprehensive look at the structure can be XC4025E-2 with 52MHz clock on the high-speed operation. On this basis, easy to expand the structure for large point FFT operations. Platform: |
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Author:culun |
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Description: this document describe method of binary multiplication of signed and unsigned integer.
it represent also the booth algorithm wich compounded with shift and adder blocks
this optimise the comsumption of the alu Platform: |
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Author:seif |
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Description: ABSTRACT:
Low power consumption and smaller area are some of the most important criteria for the
fabrication of DSP systems and high performance systems. Optimizing the speed and
area of the multiplier is a major design issue. However, area and speed are usually
conflicting constraints so that improving speed results mostly in larger areas. In our
project we try to determine the best solution to this problem by comparing a few
multipliers.
This project presents an efficient implementation of high speed multiplier using the shift
and add method, Radix_2, Radix_4 modified Booth multiplier algorithm. In this project
we compare the working of the three multiplier by implementing each of them separately
in FIR filter. Platform: |
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Author:phitoan |
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