I_0 = 0.4 \text{mA}

I_0 = 0.05 \text{mA}

I_0 = 15 \mu\text{A}

I_0 = 18 \mu\text{A}

I_0 = 10 \mu\text{A}

13.6 pF

123.7 nF

11.9 pF

15.6 pF

14.7 pF

\omega_{in} = 3.756 \times 10^7 rad/s

\omega_{in} = 4.156\times 10^7 rad/s

\omega_{in} = 2.416\times 10^7 rad/s

\omega_{in} = 9.196\times 10^8 rad/s

\omega_{in} = 12.036\times 10^7 rad/s

v_{out}(s) = - \frac{v_{in}(s)}{\frac{s}{\omega_0} + 1 + R_1C_1 s(\frac{s}{\omega_0}+(1+A_0))}

v_{out}(s) = - \frac{v_{in}(s)}{\frac{s}{\omega_0} + 1 + R_1 s(\frac{s}{\omega_0}+(1+A_0))}

v_{out}(s) = - \frac{v_{in}(s)}{\frac{s}{\omega_0} + 1 + R_1C_1 s(\frac{s}{\omega_0}+(1 - A_0))}

v_{out}(s) = - \frac{v_{in}(s) A_0}{\frac{s}{\omega_0} + 1 + R_1C_1 s(\frac{s}{\omega_0}+(1+A_0))}

v_{out}(s) = - \frac{v_{in}(s) A_0}{\frac{s}{\omega_0} + 1 + R_1C_1 s(\frac{s}{\omega_0}+(1-A_0))}

\omega_{pi} = \frac{1}{(R_C || r_{\pi})\times C_F(1 + g_m R_B)}

\omega_{pi} = \frac{RC}{(R_C || r_{\pi})\times C_F(1 + g_m R_B)}

\omega_{pi} = \frac{1}{(R_B || r_{\pi})\times C_F(1 + g_m R_C)}

\omega_{pi} = \frac{1}{(R_C + r_{\pi})\times C_F(1 + g_m R_B)}

\omega_{pi} = \frac{1}{(R_B + r_{\pi})\times C_F(1 + g_m R_C)}

\omega_{po} = \frac{g_mR_C}{R_C C_F(1- g_m R_C)}

\omega_{po} = \frac{g_mR_C}{R_C (1+g_m C_FR_C)}

\omega_{po} = \frac{g_m}{R_C C_F(1+g_m R_C)}

\omega_{po} = \frac{g_mR_C}{R_C C_F(1+g_m R_C)}

\omega_{po} = \frac{R_C}{R_C C_F(1+ R_C)}

Gain = g_m( R_C || (\frac{r_o g_m R_C}{g_mR_C - 1}) )\times(\frac{1}{R_B}) \times (R_C + r_{\pi} + \frac{r_o}{1-g_m R_B} + \frac{1}{g_m})

Gain = g_m( R_C || (\frac{r_o g_m R_C}{g_mR_C - 1}) )\times(\frac{1}{R_B}) \times (R_B + r_{\pi} || \frac{r_o}{1-g_m R_C} || \frac{1}{g_m})

Gain = g_m( R_C || (\frac{r_o g_m R_C}{g_mR_C - 1}) )\times(\frac{1}{R_B}) \times (R_B || r_{\pi} || \frac{r_o}{1-g_m R_C} || \frac{1}{g_m})

Gain = g_m( R_B || (\frac{r_o g_m R_C}{g_mR_C - 1}) )\times(\frac{1}{R_C}) \times (R_B || r_{\pi} || \frac{r_o}{1-g_m R_C} || \frac{1}{g_m})

Gain = g_m( R_C || (\frac{r_o g_m R_C}{g_mR_C - 1}) )\times(R_B || r_{\pi} || \frac{r_o}{1-g_m R_C} || \frac{1}{g_m})

Z_{in} (s)= \frac{1}{sC_{\pi}} + \frac{\beta}{g_m} + \frac{sC_{\text{CS}}}{sC_{\mu}(sC_{\text{CS}} +\beta)}

Z_{in} (s)= \frac{1}{sC_{\pi}} + \frac{\beta}{g_m} + \frac{sC_{\text{CS}}}{sC_{\mu}(sC_{\text{CS}} +g_m)}

Z_{in} (s)= \frac{1}{sC_{\pi}} | |  \frac{\beta}{g_m} | | \frac{sC_{\text{CS}}}{sC_{\mu}(sC_{\text{CS}} +g_m)}

Z_{in} (s)= \frac{\beta}{sC_{\pi}} | |  \frac{1}{g_m} | | \frac{sC_{\text{CS}}}{(sC_{\text{CS}} +g_m)}

Z_{in} (s)= \frac{1}{sC_{\pi}} | |  \frac{1}{g_m} | | \frac{sC_{\text{CS}}}{sC_{\mu}(sC_{\text{CS}} +\beta)}

R_{in} = -\frac{R_1R_4}{R_2}

R_{in} = \frac{R_2R_4}{R_1}

R_{in} = \frac{R_1R_2}{R_4}

R_{in} = \frac{R_1R_4}{R_2}

R_{in} = -\frac{R_2R_4}{R_1}

V_{out}(t) = H(\omega) A\text{sin}(\omega t + \theta(\omega) )+ H(2\omega) B \text{cos}(2\omega t + \theta(2\omega)) given that H(\omega)e^{j\theta(\omega)} = -\frac{GR_2\omega_0}{R_2(j\omega + (1+G)\omega_0) + R_1(j\omega + \omega_0 + j\omega C_1 R_2 (j \omega + (1+G)\omega_0))}

V_{out}(t) = H(\omega) A\text{sin}(\omega t + \theta(\omega) )+ H(\omega) B \text{cos}(2\omega t + \theta(\omega)) given that H(\omega)e^{j\theta(\omega)} = \frac{GR_2\omega_0}{R_2(j\omega + (1+G)\omega_0) + R_1(j\omega + \omega_0 + j\omega C_1 R_2 (j \omega + (1+G)\omega_0))}

V_{out}(t) = H(\omega) A\text{sin}(\omega t + \theta(\omega) )+ H(2\omega) B \text{cos}(2\omega t + \theta(2\omega)) given that H(\omega)e^{j\theta(\omega)} = -\frac{GR_1\omega_0}{R_2(j\omega + (1+G)\omega_0) + R_1(j\omega + \omega_0 + j\omega C_1 R_2 (j \omega + (1+G)\omega_0))}

V_{out}(t) = H(\omega) A\text{sin}(\omega t + \theta(\omega) )+ H(\omega) B \text{cos}(2\omega t + \theta(\omega)) given that H(\omega)e^{j\theta(\omega)} = \frac{GR_1\omega_0}{R_2(j\omega + (1+G)\omega_0) + R_1(j\omega + \omega_0 + j\omega C_1 R_2 (j \omega + (1+G)\omega_0))}

V_{out}(t) = H(\omega) A\text{sin}(\omega t + \theta(\omega) )+ H(2\omega) B \text{cos}(2\omega t + \theta(2\omega)) given that H(\omega)e^{j\theta(\omega)} = -\frac{GR_1R_2\omega_0}{R_2(j\omega + (1+G)\omega_0) + R_1(j\omega + \omega_0 + j\omega C_1 R_2 (j \omega + (1+G)\omega_0))}