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Digital Waveform Generation by Pete Symons

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7 Phase domain processing – DDS and the IDFT

In Chapter 4 we introduced the idea of phase domain processing and outlined the permissible arithmetic operations that may be applied in a DDS context. In this chapter we apply simple multiplicative scaling of a phase sequence to combine DDS frequency synthesis (i.e. phase accumulation) with waveform synthesis based upon the inverse discrete Fourier transform (IDFT). This, in turn, enables computationally feasible real-time execution of the IDFT at any fundamental frequency and represents a powerful waveform generation technique. Waveform synthesis using the IDFT is fundamentally a frequency domain or spectrum specification method requiring multiple harmonic amplitude and phase parameters to specify ...

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