Maximum number of binary data transmitted in a 1Hz wave

[KulasBadulas]

Hi, I just wanted to ask your help. I am not so particular about this subject.
What's the maximum or optimum number of binary data that could be transmitted using a 1hz wave signal. Thanks!

 

[IRstuff]

Going to be much less than 1 bit/s, obviously.

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[VEBill]

If the 1 Hz (note the correct capitalization) isn't modulated, then essentially zero bits.

Perhaps 1 bit, 'Transmitter is still working'.

Here's the deeper background.

https://en.wikipedia.org/wiki/Shannon–Hartley_theorem

PS. Note that student coursework posting is not permitted.

 

[MikeHalloran]

1 bit/s, unless you are allowed to modulate the amplitude of the wave, or move one of the edges a little in time, or both.
Both techniques are used in, e.g., telephone modems to get 56k bits/sec over a channel that's nominally capable of only 2.4k bits/sec.
So the answer could be, potentially, 24-ish bit/s, maybe a little more, depending on how much effort you are willing to expend on the transmitter and the receiver.






Mike Halloran
Pembroke Pines, FL, USA

 

[VEBill]

For bonus points:

Modulate your voice onto an Upper Sideband (USB) signal. Let's start with a suppressed carrier, at whatever frequency you like.

Such signals can of course easily be hetrodyned up or down the spectrum to any new carrier frequency you want. Adjust the dial to 1 Hz.

In the frequency domain, the spectrum will look exactly like your baseband voice, except shifted up by 1 Hz.

(NOTE: This technique is actually used to eliminate feedback squeal in PA systems, more like 5 or 10 Hz shift I think. It was done before the development of DSP, using the sort of RF technique roughly as described. So no complaints about it being impractical. )

One could reinsert a bit of carrier (it'll be at 1 Hz) if one wished, to make the point here even clearer. Not too much as it adds little value.

Being audio in this example, there's no point connecting it to an antenna. A speaker would be better.

Obviously this concept can be extended from voice to as many bps as you like.

All seemingly modulated onto a 1 Hz carrier.

Shannon really doesn't care about your carrier frequency. Only your bandwidth, and signal to noise ratio.