WAVEFORM SYNTHESIS VIA INVERSE WALSH TRANSFORM

The dominant-term concept in representing arbitrary functions using Walsh series is described. To verify the dominant-term concept, a Fast Walsh Transform/Inverse Fast Walsh Transform (FWT/IFWT) subroutine following Brown's algorithm and an Approximate IFWT (AIFWT) subroutine have been written in FORTRAN IV and applied to various functions. The results obtained are quite satisfactory. Based upon the dominant-term concept, an inexpensive, fully digital, programmable waveform synthesizer has been designed and implemented. The various waveforms obtained from the synthesizer coincide with the results obtained from computer simulation.