范俊民¹, 冷劲松¹, 李东伟²

1. 电子科技大学数学科学学院, 成都 611731;
2. 肥工业大学数学学院, 合肥 230009

收稿日期:2018-04-11出版日期:2020-05-15发布日期:2020-05-15


基金资助:自然基金科研项目结题后新建项目（LJT10110010115）资助.

TENSOR PRODUCT METHOD FOR FRAMES BASED ON EQUIDISTANT ERASURES MODEL

Fan Junmin¹, Leng Jinsong¹, Li Dongwei²

1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China;
2. School of Mathematicals, HeFei University of Technology, Hefei 230009, China

Received:2018-04-11Online:2020-05-15Published:2020-05-15







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框架理论常应用于信号重构.当编码系数在传输过程中发生等距丢失时，基于框架张量积的一些性质，我们可以利用框架张量积对信号进行编码从而降低数据丢失对重构信号的影响.本文由此提出了一种等距丢失模型，并在此模型下，研究了数据等距丢失下的最优对偶框架张量积，得出了对偶框架和正则对偶框架的张量积是最优对偶框架张量积的两个充分必要条件.最后数值实验也说明了：在等距丢失模型下，最优对偶框架张量积比一般对偶框架张量积的信号重构结果更优.
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