Create a random matrix with small gradient

I'd like to create a special random matrix with a small gradient. That is to say, this matrix contains elements from 0 to 1 and follows a specific distribution (unfortunately my math is bad, and I don't know what distribution it is) so that the difference among an element and its surrouding elements is smaller than a given number (for example 0.1). Could anyone give some hints regarding this problem?

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You can't have the elements drawn independently from a distribution and at the same time have difference less than a given number. These two requirements contradict each other.

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R2021a

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2022-3-22

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