We revisit the construction of wavelets on the interval with various degrees of polynomial exactness, and explain how existing schemes for orthogonal- and Spline wavelets can be extended to compactly supported delay-normalized wavelets. The contribution differs substantially from previous ones in how results are stated and deduced: linear algebra notation is exploited more heavily, and the use of sums and complicated index notation is reduced. This extended use of linear algebra eases translation to software, and a general open source implementation, which uses the deductions in this paper as a reference, has been developed. Key features of this implementation is its flexibility w.r.t. the length of the input, as well as its generality regarding the wavelet transform.

我们以各种程度的多项式精确性重新研究了区间上的小波构造，并解释了如何将正交和样条小波的现有方案扩展为紧致支持的延迟归一化小波。其贡献与以前的陈述有很大的不同：如何陈述和推论结果：线性代数表示法得到更广泛的利用，总和的使用和复杂的索引表示法的使用都减少了。线性代数的这种广泛使用使向软件的转换变得容易，并且已经开发了一种通用的开放源代码实现，该实现使用本文中的推论作为参考。此实现的关键特征是输入长度的灵活性以及关于小波变换的通用性。