The relation between the singularity detection and the wavelet transform modulus maxima line’s theory is on research in this thesis.
通过研究信号奇异性检测与小波变换模极大值原理之间的关系。
参考来源 - 小波变换在瞬态信号波至点检测中的应用研究·2,447,543篇论文数据，部分数据来源于NoteExpress
为解决海空复杂背景下红外弱点目标的检测，提出了基于小波变换模极大的检测算法。
The new algorithm based on wavelet transform modulus maxima was presented to resolve the problem of weak infrared point targets detection under the complicated background of sea and sky.
通过对信号与噪声奇异性的分析，得出信号与噪声的小波变换模极大值在各个尺度上的表现截然相反的结论。
The singularities of signals and noises are investigated. A conclusion is drawn that the wavelet modulus maxima of signals have contrary behaviors from that of noises.
探讨了分形测度小波变换极大值线的拓扑分岔情况，并提出了一种基于小波变换模极大值的多重分形谱估算方法。
Topologic bifurcation situation of maxima lines is also discussed. In the end, an estimation for multifractal spectrum is proposed in terms of wavelet module maxima lines.
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