低功耗可重組固定寬度乘法器之設計與實作

Abstract

在本論文中，我們提出了具有四種運算模式的可重組固定寬度Booth乘法器以及可重組固定寬度Baugh-Wooley乘法器。此四種運算模式提供了高精準度運算、平行運算、全精準度運算等特性，可因應多種不同的運算需求。根據模擬結果，對於一個16x16可重組固定寬度Booth乘法器，平均四種運算模式的功率消耗可比16x16非重組固定寬度Booth乘法器節省14.0%的功率消耗。而16x16可重組固定寬度Baugh-Wooley乘法器亦可節省12.56%的功率消耗。另外我們將可重組固定寬度乘法器應用於FIR濾波器中，藉此說明可重組固定寬度乘法器具有功率調節的能力，進而達到省電的目的。

In this thesis, we propose a reconfigurable fixed-width Booth multiplier and a reconfigurable fixed-width Baugh-Wooley multiplier design framework that provides four configuration modes (CMs). The presented four configuration modes of the reconfigurable fixed-width multiplier are capable of providing high resolution, parallel, and full-precision multiplications for different computation demands. From the simulation results, the proposed 16x16 reconfigurable fixed-width Booth multiplier can attain the power saving of 14.0% on average with respect to that of the 16x16 non-reconfigurable fixed-width Booth multiplier. On the other hand, the proposed 16x16 reconfigurable fixed-width Baugh-Wooley multiplier can save 12.56% power consumption on average in comparison with that of the 16x16 non-reconfigurable fixed-width Baugh-Wooley multiplier. Furthermore, we apply the proposed reconfigurable multiplier to FIR filter to show the power scalable capability under four different modes.