离散酉变换的渐近性质。
Asymptotic properties of discrete unitary transforms.
机构信息
MEMBER, IEEE, Engineering and Applied Science, University of California, Los Angeles, CA 90024; Information Science Institute, Marina Del Rey, CA.
出版信息
IEEE Trans Pattern Anal Mach Intell. 1979 Apr;1(4):366-71. doi: 10.1109/tpami.1979.4766945.
PMID:21868871
Abstract
A method for studying the asymptotic behavior of discrete transformations is developed using numerical quadrature theory. This method allows a more convenient examination of the correlation properties of common unitary transforms for large block sizes. As a practical result of this method it is shown that the discrete cosine transform is asymptotically optimal for all finite-order Markov signals.
摘要
利用数值积分理论，开发了一种研究离散变换渐近行为的方法。这种方法允许更方便地检查大块大小的常见幺正变换的相关性质。作为这种方法的实际结果，表明离散余弦变换对所有有限阶马尔可夫信号都是渐近最优的。
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