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Fuzzy convolution as a nonlinear digital filter

机译:模糊卷积作为非线性数字滤波器

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摘要

Convolution is a representative operation in linear filters. Convolution carries out its operations by linear combination. The paper discusses a method to extend convolution so that it has nonlinearlity in the platform of convolution operation. It introduces an extension method which uses fuzzy operations instead of linear combination for convolution. It also describes several types of fuzzy convolutions which play a role in nonlinear filters. In addition some properties of fuzzy convolutions are investigated.
机译:卷积是线性过滤器的代表性操作。卷积通过线性组合执行其操作。本文讨论了一种延长卷积的方法,使其在卷积操作平台中具有非线性。它介绍了一种使用模糊操作而不是线性组合进行卷积的扩展方法。它还描述了几种类型的模糊卷曲,其在非线性滤波器中起作用。此外,调查了一些模糊卷积的属性。

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