I14R10
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An opamp does not need a dual polarity supply if it only has an AC (audio?) output signal. You simply bias its very low input current non-inverting input at half the supply voltage with two fairly high value (100k) resistors and a filter capacitor. Then its input, output and feedback ground resistor need coupling capacitors.I need to power a op amp.
your circuit is AC coupled, so it will be hard to detect a DC level high to low transition (first = start signal, for your timing reference)Sometimes the station sends introduction bits as 00001001 and sometimes just as 1001).
It's completely unclear which signal of your "WS-2300" you want to process with the strange amplifier circuit. The specification I have seen is talking about a PC COM port interface, which would hardly have only 200 mV level.
I do not know if the weather station sends sinewaves or digital pulses.
Your transistors are biased completely wrong:
1) The first transistor does not have enough base current so it is cutoff most of the time.
2) The second transistor has no base bias current whatsoever so it is almost always cutoff.
3) The third transistor is probably not needed.
4) The input impedance of the second transistor severely loads down the output of the first transistor since its base-emitter is simply a diode.
Here are simulations showing a sinewave input:
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