The Finite Transmission Feedback Information (FTFI) capacity is characterized for any class of channel conditional distributions { PBi|Bi−1,Ai : i= 0,1, . . . ,n } and { PBi|Bi−1 i−M ,Ai : i= 0,1, . . . ,n } , where M is the memory of the channel, Bn 4 = {B j : j = 0,1, . . . ,n} are the channel outputs and An 4 = {A j : j = 0,1, . . . ,n} are the channel inputs. The characterizations of FTFI c...