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A fast box counting algorithm for determining the fractal dimension of sampled continuous functions

机译:用于确定采样的连续函数的分形维数的快速盒计数算法

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An adaptation of the box counting algorithm to samples of a continuous signal is given. An iterative scheme is combined with an exploitation of continuity to yield a fast method. This reduces the algorithm's complexity from quadratic to linear. The method is applied to speech segments; in this context it is faster than morphological filtering and Hurst analysis, and has comparable performance. The new algorithm is also suitable to be parallelized. It is applied to calculation of the dimension of fricative phonemes and automatic segmentation of speech into periodicoiselike segments. This dimension value may be used instead of zero crossing rate in some applications.
机译:给出了盒计数算法对连续信号样本的适应性。迭代方案与对连续性的利用相结合以产生一种快速方法。这将算法的复杂度从二次降低为线性。该方法适用于语音段。在这种情况下,它比形态过滤和Hurst分析要快,并且具有可比的性能。新算法也适合于并行化。它适用于摩擦音素尺寸的计算以及将语音自动分割为周期性/类似噪音的片段。在某些应用中,可以使用此尺寸值代替零交叉率。

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