Design of Logic Network for Generating Sequency Ordered Hadamard Matrix H

A logic network to produce the sequency ordered Hadamard matrix H based on the property of gray code and orthogonal group codes is developed. The network uses a counter to generate Rademacher function such that the output of H will be in sequency. A general purpose shift register with output logic is used to establish a sequence of period P corresponding to a given value of order m of the Hadamard matrix. A logic network to generate sequency Hadamard matrix of order ۲۳ was designed to illustrate the effectiveness of the procedure.