基于压缩查找表的高精度正弦信号生成算法  

High-precision sine signal generation based on compressed look-up table

作　　者：罗海坤[1] 王永庆[1] 吴嗣亮[1] 

机构地区：[1]北京理工大学信息与电子学院,北京100081

出　　处：《系统工程与电子技术》2012年第2期249-252,共4页Systems Engineering and Electronics

基　　金：国家高技术研究发展计划(863计划)(2009AA1173)资助课题

摘　　要：使用直接数字频率综合(direct digital synthesizer,DDS)技术生成正弦信号时,幅度精度与查找表容量两个条件相互制约,由于容量限制,高精度需要的超大容量查找表在实际中往往无法实现。针对该问题,提出了一种基于压缩查找表的高精度正弦信号生成算法。首先,推导了DDS输出信号精度与查找表容量的关系,为查找表的设计提供了理论依据。然后,依据精度需求构造了一种高效的压缩查找表,给出了查找表容量与压缩比的关系。最后,给出了算法的实现流程,通过仿真验证了信号精度及压缩比,信号幅度为106,精度为10-5时,压缩比达到107倍。When using direct digital synthesizer （DDS） technology to generate sine signals, the amplitude precision and the look-up table scale restrict each other; a large-scale look-up table tor high precision output xs often impractical owing to the limitation of capacity. To this problem, a high-precision sine signal generation algorithm based on compressed look-up table is proposed. Firstly, an analysis is given between the relationship of the DDS precision and the look-up table scale, which provides theoretical rules for the design of the look-up table. Then, an efficient compressed look-up table is constructed according to the requirement of precision, the relationship between look-up table scale and compression ratio is given. Finally, the implementation of the algorithm is presented, signal precision and compression ratio are confirmed through simulation, for a signal with an amplitude of 10^6 and a precision of 10^-5 , the compression ratio of 10^7 is obtained.

关 键 词：高精度正弦信号 Sunderland算法 压缩查找表 直接数字频率综合 

分 类 号：TN955[电子电信—信号与信息处理]