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On 12/29/2015 8:17 PM, Jeff Liebermann wrote:
On Tue, 29 Dec 2015 22:14:45 -0000, "gareth" wrote: What is interesting is the simplicity of the approach (ignoring the hidden cost of the ubiquitous PC), but it ignores the multiple harmonics that come out of DDS chips. One of the nice things about DDS is the lack of harmonics and distortion. Given sufficient bits, you won't see much in the way of harmonics. If there are are any harmonics, it's treated as "distortion" which in this case means unwanted junk signals. See the section on "dynamic performance". http://www.embedded.com/design/configurable-systems/4025078/Understanding-analog-to-digital-converter-specifications SNR(dB) = (6.02*N) + 1.76 where N = number of bits So, if you have a 8 bit DDS, all the junk will be down: (6.02*8)+1.76 = 50 dB I think that's sufficient for most VNA applications. Of course, you can introduce other forms of distorition (jitter, non-linearity, clipping, symmetry, etc) errors in stages after the DDS. The issue with noise from a DDS is that all noise is not the same. A DDS is used to produce a sine wave, preferably of a single frequency. A typical DDS has a phase accumulator word of some number of bits which establishes the accuracy of the frequency being produced. Then some or all of those bits are used to produce digital samples of the sine wave. The quantization noise of the sample produces noise which is fairly evenly spread across the spectrum, but related more to the clock rate than the carrier frequency. The quantization noise from the phase word produces noise which has significant content very close to the carrier. This noise can not be easily filtered and so is of great concern. The fewer phase word bits used (called phase truncation) to produce the sine values the greater the close in noise. For the most part you seem to be describing noise created by an ADC or DAC which is dependent on the number of bits in the sine wave sample. -- Rick |
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