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分析了小波变换中“框架”的概念,给出了正交框架的充要判据的一个简单证明,讨论了一般的重构公式和对偶框架的具体计算公式,并通过一些简单实例指出了几种框架应该注意的问题。
The concept of “frame” in wavelet transform is analyzed and a simple proof of sufficient and necessary criteria for orthogonal frame is given. The general formulas of reconstruction and the specific formulas of dual frame are discussed. Some simple examples show that Kind of framework should pay attention to the problem.