One-side Energy costs of the RBO receiver

Let n = 2 be the length of the broadcast cycle of the RBO broadcast scheduling protocol (see [1], [2]). Let lb and ub be the variables of the RBO receiver as defined in [2]. We show that the number of changes of lb (the left-side energy) is not greater than k+1. We also show that the number of changes of rb (the right-side energy) is not greater than k + 2. Thus the extra energy (defined in [2]) is bounded by 2k + 3. This updates the previous bound from [2]