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Beyond the first Nyquist zone

Thread Summary

The user asked about operating AD DDS chips in higher Nyquist zones, despite recommendations to stay within the first zone. The final answer confirmed that operation in any Nyquist zone is possible with awareness of clock harmonics and aliases. AN-939 provides relevant information, noting that even harmonics coinciding with the fundamental frequency can cause phase ripple, which may be undesirable in some applications.
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All AD DDS chips recommend operating the DDS chips in the first Nyquist zone (up to 0.4 times the clock frequency). However, in some cases (for example figure 27 of the AD9852 datasheet) show DDS output frequencies falling in the third Nyquist zone. There is not much other discussion about operation in these other Nyquist zones.

This causes confusion among my managers and colleagues. They point to the first Nyquist zone recommendations and say I have to operate there. I say I can operate in any Nyquist zone I choose as long as I am cognizant of clock harmonics and aliases.

Once and for all, can you explain any and all other pitfalls associated with DDS operation in the higher Nyquist zones and the ultimate Nyquist zone limits (besides power level), if there is one? (Currently, I am evaluating an AD9858 in the second Nyquist zone it it appears for my purposes it is very clean.)