摘要
本文研究了M-带紧支对称尺度滤波器的表示形式,利用平衡向量,得到一种代数构造方法.利用这种方法可以通过选择半正交矩阵来构造M-带紧支对称尺度滤波器.作为应用,参数化了一类结构优美的4-带紧支对称小波框架系统.
By studying the representation of the M-band compactly supported symmetric scaling filter, using balanced vector, an algebraic construction method are gained. With this approach, the M-band compactly supported symmetric scaling filter can be constructed by choosing semi-orthogonal matrix. As application, a class of 4-band compactly supported symmetric wavelet frame system with beautiful structure are obtained.
出处
《应用数学》
CSCD
北大核心
2018年第1期49-54,共6页
Mathematica Applicata
基金
国家自然科学基金(11301006)
