Exc. 1: Hartley mixer Hartley mixer cancells the image ... - Oulu

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(C) 1999- Timo Rahkonen, University of Oulu, Oulu, Finland
gmramp.net
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g mA
## INV AMP: gm loaded by another gm and cap
#
# IV: input position, gmXv: K1, K2, K3 of cond. X
#
Iv := vector([ 1, 0]); #linear input signal
gmAv := vector([ gmA, gmA*K2, gmA*K3]);
gmBv := vector([ gmB, gmB*K2, gmB*K3]);
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g mB
# H1 calcs v vector for given current vector input Iin
H1 := proc(w,Iin) local Y;
# MNA admittance matrix
Y := matrix( [
[1, 0 ], # node 1
[gmA , (gmB + I*w*C)] ]); # node 2
evalm( inverse(Y) &* Iin);
end;
H2 := proc(w1,w2)
local v1,v2,inA,inB,H2A,H2B;
v1 := H1(w1,Iv); # 1st order voltage at w1
v2 := H1(w2,Iv); # 1st order voltage at w2
(C) 1999- Timo Rahkonen, University of Oulu, Oulu, Finland
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Exc. 5: Finding Volterra transfer function for amp
In gmramp.net, the amplifier on left is described. Current
equations in nodes 1 and 2 are
1 ⋅ v1 = Iin jωC ⋅ v2 = – gmA ⋅ v1 + gmB ⋅ ( – v2) which in matrix form is
1 0 v1 ⋅
gmA ( gmB + jωC ) v2 Next, in voltrules.txt basic rules for Volterra kernels in
Maple are shown, and next, in gmramp.net, the circuit
and positions of distortion current sources are shown.
Do:
• derive 2nd order Volterra response
• modify gmramp.net such that the control and output
polarity of g mB are changed. It does not affect linear
transfer function but does affect distortion.
# distortion currents and voltages caused by them
inA := gH2(v1[1],v2[1],gmAv); # calc current
H2A := H1(w1+w2,vector([0,-inA]));# inject it
inB := gH2(-v1[2],-v2[2],gmBv);
H2B := H1(w1+w2,vector([0,+inB]));
evalm(H2A + H2B);
end;
H3 := proc(w1,w2,w3)
local v1,v2,v3, v23,v13,v12,inA,inB,H2A,H2B;
v1 := H1(w1,Iv); v2 := H1(w2,Iv); # 1st order
v3 := H1(w3,Iv); v12 := H2(w1,w2);
v13 := H2(w1,w3); v23 := H2(w2,w3); # 2nd ord
# distortion currents and voltages caused by GA,GB
inA :=
gH3(v1[1],v2[1],v3[1],v12[1],v13[1],v23[1],gmAv);
H2A := H1(w1+w2+w3,vector([0,-inA]));
inB := gH3(-v1[2],-v2[2],-v3[2],-v12[2],-v13[2],v23[2],gmBv);
H2B := H1(w1+w2+w3,vector([0,+inB]));
evalm(H2A + H2B);
end;
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