摘要
研究基于线性正则变换(linear canonical transform,LCT)域乘积-卷积理论的Hilbert变换,给出基于LCT的Hilbert变换定义,并推导出这种定义下解析信号的几个重要的性质与特点;同时研究LCT域的广义Hilbert变换对,得到LCT域广义Hilbert变换对的表达形式;给出LCT域Bedrosian定理及其证明过程.
According to the product-convolution theory in the linear canonical transform（LCT）domain,the Hilbert transform is studied and its definition is given out.Some most important properties and features of the analytic signal are derived with this definition.Meantime the generalized Hilbert pairs in the LCT domain are studied and their expressions are obtained.The Bedrosian theorem in the LCT domain and its proof are given out,also.
出处
《兰州理工大学学报》
CAS
北大核心
2015年第1期149-153,共5页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(11201482)
北京市教委人才强教深化计划(PXM2014_014225_000020)
