Suprathreshold Stochastic Resonance for Gamma Noise with Watermarking Application

EasyChair Preprint 957

Abstract

Noise plays a constructive role in a lot of non-linear applications. Many non-linear systems perform better when some
calculated external noise is added. This phenomenon is called stochastic resonance (SR). When a parallel array of SR is used,
it is termed as Suprathreshold Stochastic Resonance (SSR). Many of the systems and models where SR is effectively observed are
non-linear systems with a single threshold value.

In this paper, the effect of SSR using Gamma noise has been reported, and the expression for cross-correlation has been derived. Furthermore, the same concept has been used in a watermarking application, where Gamma noise is added as the signature in the cover image. Gamma noise is later added externally to the watermarked image which maximizes the crosscorrelation at a particular value of the variance of the SR noise. The obtained results suggest that the maximum value of crosscorrelation
is attained for a certain amount of added noise.

Keyphrases: Gamma noise, cross-correlation, image processing, stochastic resonance, suprathreshold stochastic resonance, watermark

@booklet{EasyChair:957,
  author    = {Sumit Kumar and Nancy Chauhan and Rajib Kumar Jha},
  title     = {Suprathreshold Stochastic Resonance for Gamma Noise with Watermarking Application},
  howpublished = {EasyChair Preprint 957},
  year      = {EasyChair, 2019}}