Abstract: Methods are provided for generating at least one translation table for a modem having a frame having a plurality of slots. DIL sequence information from another modem is used to generate ordered table of levels, and distances between adjacent levels of the ordered table for found for each slot. The distances are used to distinguish between slots subject to robbed bit signaling (RBS) and slots not subject to RBS, and the ordered tables are used to make a determination as to whether the DIL sequence information is A-law or &mgr;-law information. Scaling factors are generated from the A-law/&mgr;-law determination as well as from a PAD estimation, and the scaling factors are utilized in generating translation tables. A PAD estimation function is utilized in finding the PAD estimation.