It was mentioned in [15] that one of the major problems of K-SOMs, in general, is in selecting and tuning annealing schemes, i.e. changing of learning rates, both for winner neurons and their neighbours. This must be done empirically in the absence of a firm theoretical basis. With respect to the previously proposed hardware implementations of K-SOM quantizers, an integer arithmetic has mainly been chosen for system realization in order to keep the utilization of the internal hardware resources to a minimum. As a result, the annealing schemes were inevitably limited to rely on a linearly decaying function. A codebook consisting of a group of neural cells which is an intermediate result from K-SOM quantizers was also represented by an integer basis. This could significantly affect the quality of the final image since the processes of rounding and truncating have been accumulated iteratively. Unfortunately, this problem has not been experimentally studied in depth. In addition, if it is evident that the data representation of a codebook has an impact on the compressed image quality, an alternative suitable data representation of a codebook is worth pursuing.