I have the following Operational Transconductance Amplifier that I need to implement in LTSpice. I need to choose a value for \$R_2\$ and \$C_{inf}\$ in order to have a (theoretical)gain value \$A_v=1500\$.
What I found is that:
\$I_{C5}=I_{C6}=I_{C7}=I_{C8}=(V_{cc} - V_{be})/R_2\$;
\$I_{C1}=I_{C2} = (I_{C7} / 2 ) \cdot (\beta /(\beta+1))\$; \$I_{C4}=I_{C2}-I_{C5}\$;
\$I_{C3}=I_{C1}-I_{C3}-I_{C4}\$;
β in my case it's ~180 because I'm using an BC847A transistor. \$A=V_o/V_g = g_{m_{_{Q2}}} \cdot \beta_{q5} \cdot R_1\$ \$g_{m_{_{Q2}}}=I_{C2} / V_t\$ that it's aprox \$40\cdot I_{C2}\$.
I need to implement the following circuit in LTSpice but I don't know if my schematic is ok and what values \$C_{inf}\$ and \$R_2\$ should be.
The following constraints are imposed:
- \$V_{CC}=10V\$
- \$V_{CM} = 1.5V\$
- \$R_1= 15k\Omega\$
- \$Vg\$ is a sine wave with a frequency of 1 kHz, whose amplitude will be chosen so as to ensure minimal distortion of the output signal (i.e. \$v_0\$ should also be a sine wave);
The first picture is the schematic and the second one the LTSpice implementation.