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

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itest XIN RB (C) 1999- Timo Rahkonen, University of Oulu, Oulu, Finland 1 1 1 1 4 1 1 4 XOUT (C) 1999- Timo Rahkonen, University of Oulu, Oulu, Finland Exc. 3: Measuring Zin In pierce.i, a CMOS Pierce oscillator is characterized by driving it by a 1-tone test current source and measuring the voltage that developes across port XOUT-XIN. Oscillation criteria is that Zamp(Amp) = -Zresonator(f), so Find • excact oscillation amplitude if Re(Zreson) = 18 ohm. • find Im(Zamp) at that point and note that it will pull the resonance frequency. Note that due to large RB the circuit settles slowly, and similar amplitude sweep using transient analysis would be very slow. Exc. 4: Measuring IIP3 In mtanhiip3.i, both conventional and multi-tanh differential pair are measured using a 2-tone input signal. The figures are in Chapter 6, when driven from 50 differential source. • Run the same simulations when driven from 500 ohms 3 4
Maple .net rules Matlab .mws function calls netlist nli_main +sweeps calculation of kernels (C) 1999- Timo Rahkonen, University of Oulu, Oulu, Finland voltrules.txt for Maple: restart; with(linalg); # initialisation Maple Matlab # nonlin 2nd order current of 1-dim. conductance # v1,v2 are 1st order voltages at w1, w2 # KV is a vector containing K1,K2,K3 gH2 := proc(v1,v2,KV) ; KV[2]*v1*v2; end; # nonlin 3rd order current of 1-dim. conductance # v1,v2,v3 are 1st order voltages at w1, w2, w3 # v12, v13,... are 2nd order voltages at w1+w2, # w1+w3, ... gH3 := proc(v1,v2,v3,v12,v13,v23,KV) local t1,t2; t1 := KV[3]*v1*v2*v3; t2 := 2/3*KV[2]*(v1*v23 + v2*v13 + v3*v12); evalm(t1+t2); # matrix addition end; (C) 1999- Timo Rahkonen, University of Oulu, Oulu, Finland VOLTERRA TOOLS Volterra kernels can be analyzed symbolically using Maple and numerically using Matlab. In both cases, the following needs to be done: • describe circuit topology with MNA matrix • show the location of inputs • list the control and output nodes of nonlinear components Calculation proceeds so that using linear response, controlling voltages are calculated (in general they are differential, e.g. v1[3]-v1[4] is voltage between nodes 3 and 4 at frequency w1), and usign them, 2nd order currents in nonlinear components are calculated (gH2() and cH2() in Maple). These currents are now the 2nd order input vector for the circuit, and their voltage response is calculated using linear model t frequency w1+w2. Then, using 1st and 2nd order controlling voltages, 3rd order distortion currents are calculated, injected to the circuit and voltage responses are calculated. # nonlin 2nd order current of a 1-dim cap. # cH2 := proc(v1,v2,KV,w1,w2) ; I*(w1+w2)*KV[2]*v1*v2; end; # nonlin 3rd order current of a 1-dim cap. # cH3 := proc(v1,v2,v3,v12,v13,v23,KV,w1,w2,w3) local t1,t2; t1 := K3*v1*v2*v3; t2 := 2/3*K2*(v1*v23 + v2*v13 + v3*v12); I*(w1+w2+w3)*(t1+t2); end; 5 6
Page 1: RF LO + IF 90 - 90 signal image RF
Page 5: I in (C) 1999- Timo Rahkonen, Unive

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

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