Patent ID: 8582604

Claim:
A data encoding method, executed by one or more processors, for synchronous Code Division Multiple Access (CDMA) communication in overloaded systems, comprising: calculating, by one or more processors, recursive process for K=1 to a predetermined integer value to define a k th generation m k ×n k signature matrix sequence S k : S k = [ + α k … + α k + α k + α k … + α k + β k … + β k 0 - β k … - β k 0 S ^ k - 1 0 0 ⋮ 0 0 S ^ k - 1 0 ] ( 1 ) S 1 is an (m 1 ×n 1 ) signature matrix, and where m k =2 k−1 m 1 , n k =2 k−1 (n 1 +1)−1, Ŝ k−1 is derived by eliminating the first row of S k−1 and α k and β k are two arbitrary numbers; using the S k encoder to encode data transmission over a communication channel; and transmitting the encoded date over said communication channel.