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Applications of ambiguity function-based kernels in time-frequency representations

机译:模糊函数基核在时频表示中的应用

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Time-Frequency Representations (TFRs) are useful tools for the analysis of non-stationary signals. However, a single TFR can not be considered optimum for all kinds of signals. This fact has motivated the development of a general optimization procedure to obtain a kernel specially matched to the signal under analysis. The procedure has two shortcomings: its computational complexity and its dependence on a parameter that is difficult to choose. In order to avoid this heavy procedure, this work proposes the use of TFR kernels based on the absolute value of the ambiguity function to obtain attributes related to the physical processes that generate the signals. The concept is applied to noise reduction in monocomponent signals combinations, determination of layer depth in reflection seismology, pitch contour extraction from speech signals and location of evoked potentials in brain signals. Experiments were performed using simulated and real signals. In each case, the selected kernel preserves the relevant information with minimum loss of resolution, and minimizes the cross-terms and other impurities that may affect the signal, thus demonstrating the effectiveness of the proposed method.
机译:时频表示(TFRS)是分析非静止信号的有用工具。但是,单个TFR不能为各种信号视为最佳。这一事实有动力开发一般优化程序,以获得与分析下的信号相匹配的内核。该程序具有两个缺点:其计算复杂性及其对难以选择的参数的依赖性。为了避免这种繁重的程序,这项工作提出了基于歧义函数的绝对值来使用TFR内核,以获得与生成信号的物理过程相关的属性。该概念应用于单一组分信号组合的降噪,测定反射地震学中的层深度,音调轮廓从语音信号提取和脑信号中诱发电位的位置。使用模拟和实际信号进行实验。在每种情况下,所选内核保留了最小分辨率的相关信息,并最大限度地减少可能影响信号的横向术语和其他杂质,从而证明了所提出的方法的有效性。

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