What\s a good way to minimize 1/f noise while amplifying low-level DC signals?
For a high signal-to-noise ratio, the circuit must be well-engineered. This includes choosing the best amplifier for (a) the bandwidth of interest, and (b) the impedance level of the input signals. Choosing a low voltage noise amplifier will not be helpful if the input source has rather high impedance, and the amplifier has high current noise. An amplifier with extremely low 1/f noise can be made using the LM394 transistor pair (as described in LB-52), better than most integrated op amps.
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