In the present paper we consider the case of fading channels with bandwidth limitation and noise coloring. We propose for the analysis an equivalent additive noise process that preserve the effect of the fading channel gain at the fading channel output in its first and second moment. We proceed with the bandwidth limitation case first and quantify the channel SNR limitation for the proposed equivalent setting, and then extend the SNR limitation result to the coloring of the channel additive noise case. We treat both cases, fading channel bandwidth limitation and channel additive noise coloring, in a regulation setting (that is with zero reference). In future research we plan to extend the scenarios studied here to account for the effect of reference and disturbance processes, either at the plant input or plant output, depending on the fading channel model location (either over the direct or feedback paths).