Lucy Liang added As_stated_in_the_methods__1.tex  over 8 years ago

Commit id: e206e908f66cba05b4ff4ce11339ec606c2b7aaf

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As stated in the methods section, our settings for the Noise Fundamentals devices were as follows: we used the trans-impedance amplifier with a resistance of $10 k \Omega$, a Gain ($G1$) of $\times100$ through the preamp, we used a bandwidth of $100$ KHz which has an equivalent noise bandwidth of $115.303$ KHz, and we varied the voltage across the photo-diode from $0$ to $-120 \textrm{ mV}$.   To avoid saturating the values of Vsq (read from the multimeter attached after the signal ($V_{sq}$) went through the filter, the gain, and the multiplier) we had to vary the gain ($G2$) from $\times5000$, to $\times4000$, and finally to $\times3000$. Our multiplier had a setting of AxA because we needed to square the signal. We recorded the Vsq values in Volts and we recorded the V across the photo-diode in mV. $V_{sq}$ is the signal that has been filtered.  When we recorded the data, we needed to find the noise in the instruments in order to find the systematic error and eliminate it from our recorded values of both multi-meters: $V_{sq}$ and the voltage across the photo-diode. The systematic error arises from mean noise voltage due to the amplifier, gain, and multiplier. In order to do this, every time we changed our gain, we had to drop the voltage across the photo-diode to $0$V and record the systematic error in both multi-meters.