know fundamental params for these oscillators: resonant freq w0=1/sqrt(LC1C2/(C1+C2)) and condition for oscillation (gmR' > C2/C1 with R' = R||r0)
hartley osc: 2L/1C
L on gate to ground and ground to output
C on gate to output

small sig model with inductances and caps
yields gmVgs+Vo/R'+Vo/sL1+VosC-Vgs*sC = 0 -> Vgs = sL2Vo/(sL2+1/sC)
end up with w0 = sqrt((L1+L2)C), gmR'=L1/L2

unfortunately, all these params move around based on temp, need to stabilize for environment
when measuring, will get a noisy sine wave because inductors are very noisy

crystal oscillator!
transistor with R, C1 from drain to source/ground, cap from source/ground to gate, crystal from gate to drain
like a colpitts with a crystal instead of the inductor
crystal hard sets f0

crystal can be looked at as a tank with a cap on one side (Cp) and L, Cs, and R on the other
freq of osc is w0 ~~ 1/sqrt(LCs)

wein bridge osc
inverting opamp amplifier config with tradition input grounded
non-inv input is hooked to Vo through a R and C in series (Zs)
non-inv input is also hooked to ground via R and C in parallel (Zp)
Va also off non-inv input
benefit: NO INDUCTORS (less noisy, easier to use in a IC)
feedback xfer f()
Va(s) = VoZp/(Zs+Zp)
B(s) = Zp/(Zs+Zp)
A(s) = 1+R2/R1
loop gain AB = Zp(1+R2/R1)/(Zp+Zs)
w0 = 1/CR

on page 1103
trying to build a transfer function in hardware
figure 12.16
general form for bandpass filter will be As/(ss+Bs+w0w0)
in reference to 13.9
B coeff can be rewritten as w0/q where q is related to 50% dropoff