Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
468655 | Computers & Mathematics with Applications | 2011 | 13 Pages |
Abstract
In this paper, we construct a class of new splines related to a Blaschke product. They emerge naturally when studying the filter functions of a class of linear time-invariant systems which are related to the boundary values of a Blaschke product for the purpose of sampling non-bandlimited signals using nonlinear Fourier atoms. The new splines generalize the well-known symmetric B-splines. We establish their properties such as integral representation property, a partition of unity property, a recurrence relation and difference property. We also investigate their random behaviour. Finally, our numerical experiments confirm our theories.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Qiuhui Chen, Tao Qian, Guangbin Ren, Yi Wang,