I'm having trouble getting the right transfer function for this using the OC and SC method for the time constants and getting the poles.

Am I doing this right ...
Open circuit
1/s1 = (R1+R2)*C1
1/s2 = C2*R2
1/s3 = (R2+R3+R4)*C3
1/s4 = C4*R4

Short circuit
1/s5 = R1*C1
1/s6 = (R1||R2 +R3)*C2
1/s7 = R3*C3
1/s8 = R3||R4 *C4

Where do I go after this?

 

Is this in terms of jw or s?

 

Is this in terms of jw or s?

's'... i think. sorry, been a long time

s = jw?

Did I calculate the poles?

When I run it through multisim with the given values I get a pole at 500 rads/s. In my calcs I'm getting two SC poles at 1000 rads/sec and one OC at 333 rads/s. Is the combining effect giving me a corner frequency at 500 or am I just making things up?

 

Replace the capacitors with their impedance [Zc=1/(sC)=1/(jwC)]. Then use node voltage or mesh current method to get Vout in terms of Vin, so you will have Vout=(something)*Vin. Then carry Vin to the left side of the equal sign so you will have:
Vout/Vin=(something)=Transfer Function=H(s)=H(jw)

Done!

 

Are you trying to do an analysis based on a dominant-pole assumption?

 

^Yes

Indeed approximating the poles and cutoff frequency. So the dominant pole is the smallest for high pass and the opposite for low pass?