Has anyone designed a lab-quality lock-in amplifier?
I've got an application where a very compact (eg. size of a cig pack) unit would be useful (the 19" rack type is not going to fly in this application, due to size, power consumption and weight). Carrier frequency will be low (tens of Hz).
Any suggestions? I'm trying to measure a voltage in the 10mV range with 1ppm or so stability. Best regards, Spehro Pefhany
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Sounds pretty simple: a good opamp and an analog switch to flip the gain from +1 to -1, then a lowpass filter. At 10s of Hz, charge injection shouldn't be a big deal. The resistors will need to be very good to hold 1 ppm gain. VERY good.
1 ppm of 10 mV is of course 10 nV, so I hope you can amplify ahead of the synchronous detector stage.
Sinusoidal excitation is not a problem as you could a phase sensitive demodulator to recover your signal. As I see it your biggest problem is building a very low noise narrow bandwidth stable preamplifier to get your signal up to a respectful level for use with your phase sensitive demodulator.
If it's not a total secret, what exactly do you want to achieve with this? Maybe there are other options.
I had that once at a client. Insurmountable noise issue, just couldn't get low enough. Then I asked whether we can modulate that and work it off in an RF band that's rarely used. Long silence. Then "Dang! That's it!".
Spehro will have to, or modulate the signal onto something right there. Handling 10nV over anything lengthy won't work, except maybe in the arctic sea with no thunderstorms within a 1000 mile radius. I just had such a pleasure and we had to shield the dickens out of it.
Firstly, your input (preamp, wideband amp...) has to be nondistorting at the low frequency (which will cause thermal fluctuations that generally CANNOT be ignored). A transconductance amp (output is a current source into pseudo-ground) is preferable here, as the output bias currents of a voltage-output op amp can be troublesome.
For a uA741 op amp, chip temperature is a bigger noise source than input offset voltage at about 4 kOhm input resistance... the change in temperature modulates the input currents that much, for low frequency signals.
Secondly, you have to use a mixer for your filter, and for the kind of accuracy you want, the dynamic range of an ADC is not enough. Mix down before converting to digital data, then use digital signal processing to deal with rejecting out-of-band signal. Transconductance type mixers should work out well, even an MC1496 can do this.
Your reference sinewave has to be as accurate as possible, of course. I'm not sure how one makes a high-purity 10 Hz sinewave, but triangle and square wave generators are easy enough. The feedback scheme on a Wien bridge oscillator gets tricky at low frequency (maybe you can use sample/hold for determining the amplitude, but it takes a good phase determination to pick the gate closing time).
Like, with an iPod? Should work, if the subsonic range isn't filtered. I really like having test-CD tracks transferred to a little MP3 player; it doesn't have as many knobs as a wave generator, but it's accurate and convenient.
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