Discrete Walsh transform technology, applications to control systems

This study was motivated by the Department of the Army's desire to increase the efficiency and speed of response of the autopilot system in interceptors by allowing error correction signals to be transmitted and received in the Walsh domain.

The purpose of this study was to obtain a method for designing and implementing a discrete Walsh transform controller in a linear feedback system and to develop the fast Walsh transform algorithm. In particular, it was desired to obtain a value for the output from a physical system that was equal to the input to the autopilot system as time increased.

The method for analyzing this problem was to simulate, on a digital computer, a second-order linear system within the desired Walsh transform controlled feedback system. The Continuous System Modeling Program (CSMP, version III) and FORTRAN were to be used to perform the simulation.

In conclusion, the desired discrete controller was obtained using an integrator as the controller. A workable algorithm was developed. Several runs of the computer program were made and the results achieved were positive. The output from the physical system approached the value of the input function as time increased.