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|Title:||Matrix extension and biorthogonal multiwavelet construction|
|Authors:||Goh, S.S. |
|Source:||Goh, S.S.,Yap, V.B. (1998-01-15). Matrix extension and biorthogonal multiwavelet construction. Linear Algebra and Its Applications 269 (1-3) : 139-157. ScholarBank@NUS Repository.|
|Abstract:||Suppose that P(z) and P̃(z) are two r × n matrices over the Laurent polynomial ring ℛ[z], where r < n, which satisfy the identity P(z)P̃(z)* = Ir on the unit circle double-struct T sign. We develop an algorithm that produces two n × n matrices Q(z) and Q̃(z) over ℛ[z], satisfying the identity Q(z)Q̃(z)* = In on double-struct T sign, such that the submatrices formed by the first r rows of Q(z) and Q(z) are P(z) and P(z) respectively. Our algorithm is used to construct compactly supported biorthogonal multiwavelets from multiresolutions generated by univariate compactly supported biorthogonal scaling functions with an arbitrary dilation parameter m ∈ ℤ, where m > 1. © 1998 Elsevier Science Inc.|
|Source Title:||Linear Algebra and Its Applications|
|Appears in Collections:||Staff Publications|
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