
In this paper, we propose granularity as a new index to characterize the non-specificity of a summative kernel. This index is intended to reflect the behavior of a kernel in the usual signal processing applications. We show, in different experiments, that two kernels having the same granularity have very similar behavior. This granularity-based adaptation is compared to other adaptation methods. These experiments highlight the ability of the granularity index to measure the spreading and collecting properties of a summative kernel.
Signal theory (characterization, reconstruction, filtering, etc.), Signal processing, Possibility, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, Probability theory, Foundations of probability theory, adaptation, maxitive kernels, granularity, possibility, Maxitive kernels, Fuzzy sets and logic (in connection with information, communication, or circuits theory), probability theory, summative, Special integral transforms (Legendre, Hilbert, etc.), Summative, Adaptation, signal processing, Theory of fuzzy sets, etc., Granularity, [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
Signal theory (characterization, reconstruction, filtering, etc.), Signal processing, Possibility, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, Probability theory, Foundations of probability theory, adaptation, maxitive kernels, granularity, possibility, Maxitive kernels, Fuzzy sets and logic (in connection with information, communication, or circuits theory), probability theory, summative, Special integral transforms (Legendre, Hilbert, etc.), Summative, Adaptation, signal processing, Theory of fuzzy sets, etc., Granularity, [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing
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