Evaluation of channel capacity of very noisy channels (VNCs) using the weighted generalization of shannon entropy and exponential entropy

Very noisy channels (VNCs) are discrete memory less channels whose capacity is very small (almost zero). Many real life channels specially functioning at low S/N ratios have properties identical to very noisy channels (VNCs). In the present work, we have established some new results on channel capacity of VNCs which may be useful in building mathematical models for such channels and in the other contexts as well.