Maximizing data rate for a frequency span: 1Gb ethernet PAM5 baseband vs radio frequency IQ modulation

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Is it better to have max power emitted spectral density everywhere and be flat, or have the same integrated energy but space out channels in the frequency span available? I think this is only a real question in the context of human laws on emission power rather than some information theory idea. It seems obvious that you want to fill in and use the entire frequency span to the absolute limit so it'd be even.

You can do that kind of thing with IQ based sampling and signal processing because it is designed for shifting information in frequency. But with something like 1gb ethernet (PAM5) that doesn't use a carrier and just changes the voltage level of a baseband pulse, one of 5 states -2, -1, 0, 1, 2, there's no way it's evenly filling the available frequency span, is it? In the frequency domain the very fast pulses are are the superposition of a bunch of very high frequency components. But does the PAM5 pulse shape result in an even and full filling of the available spectrum? I doubt it. It's probably a lot of power at the higher freqs and not much in the lower. It's a waste and it creates frequency requirements for the transmission line that are not proportional to actual summed frequency span used.

Over the same frequency span the, admittedly much more complex, RF-based solution gets much closer to the information theoretic capacity of the transmission line all things held the same. We could have 50 gigabit ethernet on the same transmission line tolerances that baseband modulated PAM5 ethernet requires for 1 gb. The transceivers would cost a lot more though. Ethernet is conceptually simple in ignoring the frequency domain. But that is just pushing more and more complexity into the magnetics of the transceivers and the quality of the transmission line.

Maybe it's time for RF ethernet again? It worked for Docsis. 70 ohm twisted pair isn't bad for RF over quite a range.

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electrically small antenna (like magloops) will always be terrible but it's okay because radio is amazing

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Pick any two: size, bandwidth, efficiency.

I see a lot of people comparing the mag-loops to full size dipoles as if they were equal options. Electrical small mag-loops are a compromise antenna. Just by normal physical considerations it is obvious that a mag-loop is a much less sensitive antenna than a full sized half wave resonant dipole. Before even talking about the trade-offs in size vs impedance bandwidth vs efficiency and chu-wheeler-etc, there's effective aperture to consider. At HF frequencies (1-30MHz) the near field of some tiny LC oscillator (like a 1m mag-loop) is pretty damn large. But it is not as large as the size of a 1/2 wave dipole. So from the start a full size antenna is just intercepting *more* energy. Efficiency or radiating (and so reception because they're reciprocal) scales proportional to the physical path in space the currents travel over relative to wavelength. If the effective aperture doesn't subtend a decent fraction of a wavelength you just don't get, or emit, effectively. Electrically small mag-loops will always start ~20 dB down from the performance of a loop, or a dipole, that is a good fraction of a wavelength in effective aperture. And even just to get that realtively okay performance the impedance bandwidth is proportionally tiny.

You can, of course, get back a lot with LNA for reception. That's the beauty of radio, the absolutely boggling scale of power magnitudes over which it can work and still pull out the information. It's why you can stick your cell phone in a microwave but still get calls. A 30dB attentuation is a normal situation for a radio link and information can still be recovered. But the power... you lose most of the power in the first 6 dB loss. And that's why wireless power transfer will never work and microwave oven doors and electrically small mag-loops do.

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