Computer Simulation Project $(100$pts$)$

$1.$ Consider designing a broadband Butterworth bandpass filter with a lower corner$($cut$-$off$)$ frequency of $500$ Hz and an upper corner frequency of $4500$ Hz $.$ The passband gain of the filter is $20$ dB $.$ The gain should be down at least $20$ dB at $200$ Hz and $11\mathrm{.}25$ kHz $.$ Use $15$ nF capacitors in the high$-$pass circuit, and $\backslash (10\backslash$mathrm$\{$k$\}\backslash$Omega $\backslash )$ resistors in the low$-$pass circuit.

$($a$)$ Design a low$-$pass circuit and high$-$pass circuit separately. $(20$pts$)$

$($b$)$ After designing the circuit, show the bode plot of the transfer function of the bandpass filter using Matlab. And construct a circuit using Multi$-$Sim and then check the bode plot thru. AC analysis. $(30$pts$)$