Specifications to be matched:
Input Resistance(Rin) = 18 KΩ,
Current gain = 33 dB,
3 dB Bandwidth = 425 KHz
We are allowed to vary R2,R3( refer 2nd figure below) and Capacitor values to meet the specifications.
My attempt: I started with Rin and to match it, I varied R2 values using LTSPICE and got it to be 31.73K Now the problem is when I try to meet ideal current gain or 3dB bandwidth specifications by fixing this R2=(31.73K) and by varying R3 or the capacitors, my Rin is bound to deviate from given specification I just matched, so I'm not really sure as to how to go forward and match other specification after the first one.
Fresh attempt: I took a different approach and only varied R2 and kept R3 fixed. I varied R2 values to match current gain of 33dB and got 46.22Kohm. and when I tried to match Rin, I got 29.19Kohm but then I realized on changing the C2 value to say 706n the gap between the two R2 values gets bridged and I get 35.209Kohm for matching current gain and 32.92Kohm for matching Rin and 3dB bandwidth isn't affected much and is nearly 416kHz but I do not have a concrete way to vary C2 ( except randomly changing it) whereby I can simultaneously check which two R2 values gives required current gain and Rin and actually bridge the gap between the two.