(0,1)编码的归一化Haar变换谱系数的图形表示及其与K图的转换  

Mapping of spectral coefficients for normalized Haar transform in (0,1) coding and the transformation between to K map

作　　者：肖林荣[1,2] 乔岸红[1] 吴伟雄[1] 

机构地区：[1]嘉兴学院电子工程系,浙江嘉兴314001 [2]浙江大学信息与电子工程学系,浙江杭州310028

出　　处：《浙江大学学报（理学版）》2009年第5期549-552,共4页Journal of Zhejiang University（Science Edition）

基　　金：浙江省自然科学基金资助项目(Y105124);嘉兴市科技计划资助项目(2008AY2020)

摘　　要：基于(+1,-1)的谱技术在数字逻辑中有许多应用.为了进一步补充谱技术理论,从归一化的Haar矩阵出发,通过对矩阵的性质分析,提出了(0,1)编码的归一化的Haar变换谱系数图——R谱系数图;提出了R谱系数图与K图的基于折叠加减的图形互换法,并举例说明了转换过程.应用表明,对5变量以下的函数该方法具有简单、直观和准确的特点.进一步完善了(0,1)编码的谱技术理论,有助于开拓谱技术在数字电路故障检测等方面的应用.There are a tot of applications for spectral techniques based on coding （＋ 1, - 1）in digital logic. In order to complement the spectral technique theory, by analyzing the features of Haar matrix, graphic transformation methods between spectral coefficient R map and K map were presented. Several examples were also given. It showed that the graphic methods based on folded addition and subtraction have several advantages such as intuition, simplicity, and precision. The discussion may of certain significance to improve the spectral technique theory and be helpful to expand the application area for spectral techniques.

关 键 词：谱技术 HAAR变换 谱系数图 卡诺图 

分 类 号：TP17[自动化与计算机技术—控制理论与控制工程]