Design of a Walsh Function Generator

To develop a sequency-division multiplex system for telemetry at the Beijing Institute of Aeronautics and Astronautics, it was necessary to design a Walsh function generator that produces ¿almost pure¿ Walsh functions, just as a generator for almost pure sinusoidal functions is needed for frequency-division multiplex system. In this paper, a symbol function s(n, t) is discussed, and the dyadic increment d(k, t) of the Gray code is defined. The relation between s(n, t) and d(h, t) is deduced. A method for the design of a Walsh function generator based on the symbol function s(n, t) is presented. This method has been used to design a Walsh function generator with order number up to n = 64.