通信学报2016，Vol.37Issue(10)：1-8,8.DOI:10.11959/j.issn.1000-436x.2016189
确定性信号分解与平稳随机信号分解的统一研究
Unified study on the decomposition for deterministic signals and stationary random signals
摘要
Abstract
The unified decomposition theories and methods for deterministic signals and stationary random signals were deeply studied. According to the stability theory of linear systems, the unified results of signal decomposition under both regular stable and boundary stable conditions were given respectively. The unified results of signal decomposition under both orthogonal projection and self projection conditions were also provided based on the linear space projection theory. The former is clear and definite in its physical meaning, and the latter is clear in its mathematical and geometrical mean-ings. They are both complement with each other.关键词
信号分解/线性系统/正则稳定/边界稳定/线性空间/正交投影/自投影Key words
signal decomposition/linear system/regular stability/boundary stability/linear space/orthogonal projection/self projection分类
信息技术与安全科学引用本文复制引用
王宏禹,邱天爽..确定性信号分解与平稳随机信号分解的统一研究[J].通信学报,2016,37(10):1-8,8.基金项目
国家自然科学基金资助项目（No.61172108, No.61139001, No.81241059, No.61671105） Foundation Item:The National Natural Science Foundation of China (No.61172108, No.61139001, No.81241059, No.61671105) （No.61172108, No.61139001, No.81241059, No.61671105）
