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Receiver guru Rob Sherwood provides some very useful historical background on his web site:
http://www.sherweng.com/documents/TermsExplainedSherwoodTableofReceiverPerformance-RevF.pdf
Phase Noise: Old radios (Collins, Drake, Hammarlund, National) used a VFO or PTO and crystal oscillators to tune the bands. Any noise in the local oscillator (LO) chain was minimal. When synthesized radios came along in the 70s, the LO had noise on it. It is caused by phase jitter in the circuit, and puts significant noise sidebands on the LO. This can mix with a strong signal outside the passband of the radio and put noise on top of the weak signal you are trying to copy. This is a significant problem in some cases: You have a neighboring ham close by, during Field Day when there are multiple transmitters at the same site, and certainly in a multi-multi contest station. You would like the number to be better that 130 dBc / Hz at 10 kHz. A non-synthesized radio, such as a Drake or Collins, has so little local oscillator noise the measurements were made closer-in between 2 and 5 kHz.
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Experimental Methods in RF Design (EMRFD) has this to say about phase noise:
"The local oscillator is a critical part of any communications system. Modern transceiver performance is often compromised by LO systems that suffer from excess phase noise, effectively limiting the receiver dynamic range. While quiet oscillators, those with low phase noise, can be built using traditional methods, these circuits often lack the thermal stability of a synthesizer.... Frequency synthesis is not, however, the answer to all the LO problems presented to the experimenter. Some PLL synthesizers are burdened by excessive phase noise. Those using DDS, while quieter, emit spurious outputs, often in profusion. Both use an excess of digital circuitry that can often corrupt a receiver environment." page 4.1
"At first glance, phase noise sounds like an esoteric detail that probably has little impact on practical communications. This is generally true." page 4.12
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Hans Summers G0UPL analyzed and measured the phase noise of the Si5351a chip:
http://qrp-labs.com/qcxp/phasenoise.html
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DC4KU appears to be using the crystal filter method used by Hans:
https://dc4ku.darc.de/Transmitter-Sideband-Noise_DC4KU.pdf
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Martien PA3AKE has done a lot of great work on this topic. See:
https://martein.home.xs4all.nl/pa3ake/hmode/dds_pmnoise_intro.html
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Dean KK4DAS commented on the phase noise video of the IMSAI guy:
Watching the video I was reminded of Segal's law roughly paraphrased as follows.:
A man with one spectrum analyzer knows his phase noise. A man with two is unsure.