The discrete alphabet and memoryless relay channel with side information (SI) and its extension to the continuous alphabet Gaussian version with uncorrelated noises, all have been studied by Zaidi et al. Zhang et al have studied Gaussian relay channel with correlated noises and uninformed relay. Aggarwal et al have analyzed a coverage region for relay channel without any SI and with uncorrelated noises.In this paper, we have investigated the impact of SI on the coverage region, as an important wireless performance factor for wireless relay channel, and also derived the capacity upper and l ower bounds for such channel with SI and correlated noises. The results of this research includes previous studies as its special cases, and that under special circumstances, noise correlation can tighten the upper bound, and furthermore, SI enlarges the coverage region as expected intuitively. Mathematical derivations and numerical results are obtained to support the claims.

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