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Will a DDS generate harmonics?

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I built few versions of "Huff and Puff" frequency stabilizers. All of them have very poor phase noise performances. Even worst than a standard PLL. Cannot compare to a DDS, which is unbeatable from this point of view. And now are a lot of approaches that minimize the spurious generated by DDS.
 
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The publication clears my doubts how a "FLL" can reduce phase noise instead of generating it.

To "clean up phase noise" you'll require a kind of analog frequency discriminator, completely different from the frequency counter supposed in the post #1 link.
 

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