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A DDS clock generator uses an NCO (a phase accumulator) and takes someA saw tooth wave has a huge step like discontinuity in it which looks very ugly in the frequency domain with strong harmonics. Strong sharp features in time domain are broad in frequency space and vice versa.
number of MSBs, maps through a sine lookup table, drives a DAC and a
lowpass filter and finally a comparator. The DAC output gets pretty
ratty near Nyquist, and the filter smooths out and interpolates the
steps and reduces jitter.
But why do the sine lookup? Why not use the phase accumulator MSBs
directly and get a sawtooth, and filter that?
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