An Information Entropy Filter and Random Noise Attenuation Method for Seismic Data
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[0053] see figure 1 , the present invention defines a new filter called information entropy filter, which can simultaneously attenuate impulse noise (also called salt and pepper noise in image processing) and Gaussian white noise two types of random noise.
[0054] The information entropy filter of the present invention is specifically, according to information statistics theory, Shannon entropy is the most commonly used information entropy, suppose X is the collection of random variable x, s 0 is a random variable in the random variable x, then X Shannon entropy H(X) is expressed as follows:
[0055]
[0056] Among them, N is the number of random variables x, and P(x) is the probability density function.
[0057] Define W(x) as the weight of the random variable x in the set X, which is calculated by the following formula:
[0058] W(x)=-P(x)log 2 [P(x)]-(1-P(x)) log 2 [1-P(x)] (2)
[0059] Then, after normalizing the weight W(x) of the random variable x, the weight co...
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