紧小波矩阵的参数化
On Parametrization of Compact Wavelet Matrices
摘要:
给出了秩为$m$、亏格为$g+1$、次数为$g$的小波矩阵的一种有效的完全参数化,这些小波矩阵与相应的多项式仿酉矩阵函数自然地一致.参数化依赖于单位圆内行列式为常数的酉矩阵-函数的Wiener-Hopf分解。这种方法允许我们实时构造的小波矩阵的系数从上述类。
英文摘要:
It is given an efficient complete parametrization of wavelet matrices of rank $m$, genus $g+1$, and degree $g$, which are naturally identified with corresponding polynomial paraunitary matrix-functions. The parametrization depends on Wiener-Hopf factorization of unitary matrix-functions with constant determinant given in the unit circle. This method allows us to construct in real time the coefficients of wavelet matrices from the above class.
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