Decoding for generalized orthogonal design for space-time codes for wireless communication

A transmitter comprising:

• a module for developing a block of symbols c1,c2, . . . cn, and for developing therefrom a matrix of codes bij, where
• a) subscript i designates the row of code bij in said matrix and subscript j designates the column of code bij in said matrix,
• b) said matrix has at least two columns,
• c) one column of said matrix contains said block of symbols with at least one of the codes corresponding to one of said symbols multiplied by −1,
• d) other columns of said matrix contain permutations of said codes multiplied by p, where p is selected to be +1 or −1 to yield 0 = ∑ i = 0 N ⁢ ⁢ b ij ⁢ b ik
• where j≠k, and
• a plurality of transmitting units, equal in number to number of said columns of said matrix, each of which outputs a signal corresponding to codes of a given column in said matrix of codes.

A transmitter comprising:

• a module for developing a block of symbols c1,c2, . . . cn, and for developing therefrom a matrix of codes bij, where
• a) subscript i designates the row of code bij in said matrix and subscript j designates the column of code bij in said matrix,
• b) said matrix has at least two rows,
• c) one row of said matrix contains said block of symbols with at least one of the codes corresponding to one of said symbols multiplied by −1,
• d) other rows of said matrix contain permutations of said codes multiplied by p, where p is selected to be +1 or −1 to yield 0 = ∑ i = 0 N ⁢ ⁢ b ij ⁢ b kj
• where i≠k, and
• a plurality of transmitting units, equal in number to number of columns of said matrix, each of which outputs a signal corresponding to codes of a given column in said matrix of codes.