Messages utilized by these decoders are quantized to certain levels based on the number of bits allowed for {HEAD ~ representation} in {TAIL ~ hardware} 
in
Messages utilized by these decoders are quantized to certain levels based on the number of bits allowed for { HEAD ~ representation } in { TAIL ~ hardware }
OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH HEAD HEAD HEAD HEAD HEAD REL TAIL TAIL TAIL TAIL TAIL