Sphere decoding method applied to multi-input multi-output (mimo) channel

A sphere decoding method applied to a multi-input multi-output (MIMO) channel, comprising:

• enumerating a plurality of constellation points of an nth detection layer corresponding to the MIMO channel based on an enumeration rule, and defining at least one nth sub-set of the nth detection layer, wherein the MIMO channel matrix corresponds to the first detection layer to the Tth detection layer, the nth detection layer and Kn respectively correspond to at least one of the second detection layer to the (T−1)th detection layer and K2 to K(T−1), Kn being a positive integer;
• obtaining K constellation points from each of the at least one nth sub-set as preferred points and selecting Kn preferred points of the nth detection layer from all the K preferred points of the at least one nth sub-set, wherein K is a positive integer, and Kn is less than or equal to a positive integer of a total number of all the K preferred points of the at least one nth sub-set;
• transferring K1 preferred points to the second detection layer from the first detection layer, transferring K2 preferred points to the third detection layer from the second detection layer, . . . , transferring K(T−1) preferred points to the Tth detection layer from the (T−1)th detection layer;
• and
• determining an optimal solution according to the KT preferred points of the Tth detection layer, wherein at least one of K and K1 to KT is determined by the characteristic of the MIMO channel matrix.