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Speckle noise is multiplicative because it arises from the coherent interference of scattered waves, such as in ultrasound or radar imaging. In these contexts, the intensity of the received signal is influenced by the product of the scattering amplitude and the random phase shifts of the waves. This results in a noise pattern that is proportional to the signal itself, leading to variations in brightness that are multiplicative rather than additive, thus characterizing it as multiplicative noise.

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