A Digital Waveform Synthesizer Using Walsh Functions
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Abstract
<p>This thesis describes the design of a digital waveform synthesizer
based on signal representation by the Walsh series. The evolution of the
machine design is given, along with a short error analysis. The instrument
was constructed and preliminary measurements indicate output waveforms
well within the bounds given by error analysis. </p>
Description
This thesis describes the design of a digital waveform synthesizer based on the Walsh series representation of a signal. By designing the unit to operate serially, simplicity and economy have been achieved. Although basically meant to be used as a speech synthesizer to be interfaced to a computer, the unit can operate independently as a low frequency function generator capable of producing essentially any finite waveform having a frequency from zero to 200Hz. The mathematics behind the Walsh Series is developed and parameters are adjusted to suit speech synthesis by a short investigation ot the properties of speech. Evolution of the hardware design, including detailed analysis of the final circuitry, is also given. Sources of error are investigated and compared to error measurements made from basic waveforms generated by the synthesizer. Finally, a discussion of potential uses of the synthesizer is included.