测量中模数转换分辨率的信息熵计算  

Information entropy calculation of resolution for analog-to-digital converter in measurement

作　　者：苏日建[1] 孙汉锋 甘勇[1] 李灿林[1] 张秋闻[1] 

机构地区：[1]郑州轻工业学院计算机与通信工程学院,河南郑州450001

出　　处：《轻工学报》2016年第5期58-62,74,共6页Journal of Light Industry

基　　金：国家自然科学基金项目(61374014;61302118;U1404623)

摘　　要：针对测量仪器数据采集与处理过程中模数转换器件所需分辨率的不确定性,提出了通过信源的信息熵平均法则计算模数转换器件分辨率的方法:利用大数定律,论证了在测量信息论中信息熵的平均法则,进而推导出在测量系统的数据采集部分设计中模数转换器件所需信噪比与模数转换位数之间的关系——器件的位数越高,对应的分辨率越高,获取测量信息就越多,而这些均与相应的信息熵有对应的计算关系.应用实例验证了该方法的合理性.A calculation method of analog-to-digital converter resolution based on the the average rule of information entropy was proposed according to the uncertainty of acquisition in the data acquisition and processing system of measurement instruments. The average rule of information entropy was demonstrated by the law of large numbers in probability theory,and the relationship between signal noise rate of analog-to-digital converter and analog-to-digital converter digit was analyzed. The higher signal noise rate of analog-to-digital converter,the higher the resolution of analog-to-digital converter and the more the information acquired. There was corresponding calculation relationship between them and the corresponding information entropy. The experiment proved the rationality of the method.

关 键 词：信息熵 模数转换 分辨率 平均法则 信噪比 

分 类 号：TP274[自动化与计算机技术—检测技术与自动化装置]