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Digital Waveform Generation by Pete Symons

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2 The foundations of digital waveform generation

We begin this chapter by reviewing some important mathematical principles that underpin digital waveform generation. We then proceed to introduce and develop a concept which is central to this book – sampling a tabulated signal – and an associated concept – the wavetable. After introducing the wavetable as a fundamental building block, we consider several methods for specifying an arbitrary waveform function that is tabulated within it.

Section 2.4 introduces phase accumulation frequency synthesis and phase–amplitude mapping based upon wavetable lookup as the foundations of what we call generalised direct digital synthesis (DDS). This section also outlines some important error mechanisms that are ...

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