From 4fb7daebca63df0e1c4c127a618ed4c21e3c6b1f Mon Sep 17 00:00:00 2001
From: Kelvin Ly <kelvin.ly1618@gmail.com>
Date: Sun, 14 Apr 2019 02:59:21 -0400
Subject: [PATCH] Match mixer LO input and RF output to 50 ohms

---
 sim/.gitignore             |   2 +
 sim/README.md              |   2 +
 sim/bfu520_mixer.sch       | 163 ++++++++++++++++++++++++++++
 sim/mixer_large_signal.sch | 215 +++++++++++++++++++++++++++++++++++++
 sim/mixer_match.sch        | 196 +++++++++++++++++++++++++++++++++
 sim/mixer_matching.ipynb   | 206 +++++++++++++++++++++++++++++++++++
 sim/qucs/qucsdata.py       |   6 +-
 7 files changed, 788 insertions(+), 2 deletions(-)
 create mode 100644 sim/README.md
 create mode 100644 sim/bfu520_mixer.sch
 create mode 100644 sim/mixer_large_signal.sch
 create mode 100644 sim/mixer_match.sch
 create mode 100644 sim/mixer_matching.ipynb

diff --git a/sim/.gitignore b/sim/.gitignore
index 9d13b70..be962b0 100644
--- a/sim/.gitignore
+++ b/sim/.gitignore
@@ -1,3 +1,5 @@
 .ipynb_checkpoints
 *.dat
 *.dpl
+__pycache__/
+*.pyc
diff --git a/sim/README.md b/sim/README.md
new file mode 100644
index 0000000..53a4785
--- /dev/null
+++ b/sim/README.md
@@ -0,0 +1,2 @@
+Basically a lot of simulations used for designing different stages of the discrete transceiver.
+It's an agglomeration of Qucs simulations with Jupyter notebooks, so you'll want those two programs to examine this stuff
diff --git a/sim/bfu520_mixer.sch b/sim/bfu520_mixer.sch
new file mode 100644
index 0000000..839e15b
--- /dev/null
+++ b/sim/bfu520_mixer.sch
@@ -0,0 +1,163 @@
+<Qucs Schematic 0.0.19>
+<Properties>
+  <View=0,-203,1784,940,1,40,316>
+  <Grid=10,10,1>
+  <DataSet=bfu520_mixer.dat>
+  <DataDisplay=bfu520_mixer.dpl>
+  <OpenDisplay=1>
+  <Script=bfu520_mixer.m>
+  <RunScript=0>
+  <showFrame=0>
+  <FrameText0=Title>
+  <FrameText1=Drawn By:>
+  <FrameText2=Date:>
+  <FrameText3=Revision:>
+</Properties>
+<Symbol>
+</Symbol>
+<Components>
+  <Pac P1 1 50 450 18 -26 0 1 "1" 1 "50 Ohm" 1 "0 dBm" 0 "915 MHz" 0 "26.85" 0>
+  <.DC DC1 1 400 720 0 38 0 0 "26.85" 0 "0.001" 0 "1 pA" 0 "1 uV" 0 "no" 0 "150" 0 "no" 0 "none" 0 "CroutLU" 0>
+  <.SP SP1 1 130 710 0 61 0 0 "lin" 1 "100 MHz" 1 "2 GHz" 1 "50" 1 "no" 0 "1" 0 "2" 0 "no" 0 "no" 0>
+  <Eqn Eqn1 1 940 720 -31 15 0 0 "ileft=5e-3+I1" 1 "yes" 0>
+  <Eqn Eqn2 1 940 810 -31 15 0 0 "iright=5e-3-I1" 1 "yes" 0>
+  <.SW SW1 1 650 730 0 61 0 0 "SP1" 1 "lin" 1 "I1" 1 "-5 mA" 1 "5 mA" 1 "11" 1>
+  <SPICE X2 1 390 200 -26 -89 1 2 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X1 1 550 200 -26 -89 0 0 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X3 1 930 200 -26 -89 0 0 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X4 1 800 200 -26 -89 1 2 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <GND * 1 390 290 0 0 0 0>
+  <GND * 1 550 290 0 0 0 0>
+  <GND * 1 620 300 0 0 0 0>
+  <GND * 1 730 300 0 0 0 0>
+  <GND * 1 800 290 0 0 0 0>
+  <GND * 1 930 290 0 0 0 0>
+  <GND * 1 990 290 0 0 0 0>
+  <GND * 1 320 300 0 0 0 0>
+  <L L1 1 530 -20 -26 10 0 0 "100 nH" 1 "" 0>
+  <L L2 1 790 -20 -26 10 0 0 "100 nH" 1 "" 0>
+  <Idc I1 1 470 340 -69 -26 0 3 "ileft" 1>
+  <Idc I2 1 860 330 -69 -26 0 3 "iright" 1>
+  <GND * 1 470 400 0 0 0 0>
+  <GND * 1 860 390 0 0 0 0>
+  <Vdc V1 1 240 -120 18 -26 0 1 "5 V" 1>
+  <GND * 1 240 -60 0 0 0 0>
+  <R R2 1 320 220 -93 -26 1 1 "3 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R1 1 320 120 -93 -26 1 1 "2 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R4 1 620 120 -93 -26 1 1 "2 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R5 1 730 120 -93 -26 1 1 "2 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R3 1 620 250 -93 -26 1 1 "3k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R6 1 730 250 16 -26 0 1 "3k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R8 1 990 220 15 -26 0 1 "3k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R7 1 990 110 15 -26 0 1 "2k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <Pac P2 1 910 -140 18 -26 0 1 "2" 1 "50 Ohm" 1 "0 dBm" 0 "915 MHz" 0 "26.85" 0>
+  <C C6 1 810 -110 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <C C5 1 710 -170 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <R R9 1 630 -110 -26 16 1 2 "330 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <C C3 1 360 530 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <C C4 1 370 610 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <C C2 1 190 270 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <C C1 1 230 350 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <R R10 1 110 270 -26 15 0 0 "33 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R11 1 120 350 -26 15 0 0 "33 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R12 1 140 530 -26 15 0 0 "33 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R13 1 150 610 -26 15 0 0 "33 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+</Components>
+<Wires>
+  <420 40 420 170 "" 0 0 0 "">
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+  <50 270 80 270 "" 0 0 0 "">
+</Wires>
+<Diagrams>
+</Diagrams>
+<Paintings>
+</Paintings>
diff --git a/sim/mixer_large_signal.sch b/sim/mixer_large_signal.sch
new file mode 100644
index 0000000..b9d7ed5
--- /dev/null
+++ b/sim/mixer_large_signal.sch
@@ -0,0 +1,215 @@
+<Qucs Schematic 0.0.19>
+<Properties>
+  <View=-141,-450,1854,941,0.751316,180,0>
+  <Grid=10,10,1>
+  <DataSet=mixer_large_signal.dat>
+  <DataDisplay=mixer_large_signal.dpl>
+  <OpenDisplay=1>
+  <Script=mixer_large_signal.m>
+  <RunScript=0>
+  <showFrame=0>
+  <FrameText0=Title>
+  <FrameText1=Drawn By:>
+  <FrameText2=Date:>
+  <FrameText3=Revision:>
+</Properties>
+<Symbol>
+</Symbol>
+<Components>
+  <.DC DC1 1 400 720 0 38 0 0 "26.85" 0 "0.001" 0 "1 pA" 0 "1 uV" 0 "no" 0 "150" 0 "no" 0 "none" 0 "CroutLU" 0>
+  <.SP SP1 0 130 710 0 61 0 0 "lin" 1 "100 MHz" 1 "2 GHz" 1 "50" 1 "no" 0 "1" 0 "2" 0 "no" 0 "no" 0>
+  <Eqn Eqn1 1 940 720 -31 15 0 0 "ileft=10e-3+I1" 1 "yes" 0>
+  <Eqn Eqn2 1 940 810 -31 15 0 0 "iright=10e-3-I1" 1 "yes" 0>
+  <.SW SW1 0 650 730 0 61 0 0 "SP1" 1 "lin" 1 "I1" 1 "-5 mA" 1 "5 mA" 1 "11" 1>
+  <SPICE X2 1 680 210 -26 -89 1 2 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X1 1 840 210 -26 -89 0 0 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X3 1 1220 210 -26 -89 0 0 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X4 1 1090 210 -26 -89 1 2 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <GND * 1 680 300 0 0 0 0>
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+  <GND * 1 1280 300 0 0 0 0>
+  <GND * 1 610 310 0 0 0 0>
+  <L L1 1 820 -10 -26 10 0 0 "100 nH" 1 "" 0>
+  <L L2 1 1080 -10 -26 10 0 0 "100 nH" 1 "" 0>
+  <Idc I1 1 760 350 -69 -26 0 3 "ileft" 1>
+  <Idc I2 1 1150 340 -69 -26 0 3 "iright" 1>
+  <GND * 1 760 410 0 0 0 0>
+  <GND * 1 1150 400 0 0 0 0>
+  <Vdc V1 1 530 -110 18 -26 0 1 "5 V" 1>
+  <GND * 1 530 -50 0 0 0 0>
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+  <R R1 1 610 130 -93 -26 1 1 "2 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R4 1 910 130 -93 -26 1 1 "2 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
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+  <R R3 1 910 260 -93 -26 1 1 "3k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
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+  <R R7 1 1280 120 15 -26 0 1 "2k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R9 1 920 -100 -26 16 1 2 "330 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <C C3 1 750 540 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
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+  <L L6 1 350 560 -26 10 0 0 "27 nH" 1 "" 0>
+  <C C7 1 270 500 17 -26 0 1 "1.2 pF" 1 "" 0 "neutral" 0>
+  <L L7 1 920 -170 -26 10 0 0 "12 nH" 1 "" 0>
+  <R R11 1 1140 -240 16 -26 1 3 "1k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <Eqn Eqn3 1 1070 680 -31 15 0 0 "I1=8e-3" 1 "yes" 0>
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+  <GND * 1 1200 -180 0 0 0 0>
+  <.TR TR1 1 -40 720 0 61 0 0 "lin" 1 "0" 1 "50 ns" 1 "1000" 0 "Gear" 0 "2" 0 "1 ns" 0 "1e-16" 0 "150" 0 "0.001" 0 "1 pA" 0 "1 uV" 0 "26.85" 0 "1e-3" 0 "1e-6" 0 "1" 0 "CroutLU" 0 "no" 0 "yes" 0 "0" 0>
+  <C C1 1 560 360 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <C C2 1 550 180 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
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+  <Pac P1 1 80 490 18 -26 0 1 "1" 1 "50 Ohm" 1 "-2 dBm" 0 "915 MHz" 0 "26.85" 0>
+  <GND * 1 60 600 0 0 0 0>
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+  <C C8 1 -20 420 -26 17 0 0 "1.2 pF" 1 "" 0 "neutral" 0>
+  <C C9 1 -20 560 -26 17 0 0 "1.2 pF" 1 "" 0 "neutral" 0>
+  <R R21 1 790 -90 -26 15 0 0 "10k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "US" 0>
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+  <C C5 1 1050 -280 -26 17 0 0 "3.8 pF" 1 "" 0 "neutral" 0>
+  <C C6 1 1050 -210 -26 17 0 0 "3.8 pF" 1 "" 0 "neutral" 0>
+</Components>
+<Wires>
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diff --git a/sim/mixer_match.sch b/sim/mixer_match.sch
new file mode 100644
index 0000000..6a2bf1c
--- /dev/null
+++ b/sim/mixer_match.sch
@@ -0,0 +1,196 @@
+<Qucs Schematic 0.0.19>
+<Properties>
+  <View=-91,-433,1854,946,0.826447,300,0>
+  <Grid=10,10,1>
+  <DataSet=mixer_match.dat>
+  <DataDisplay=mixer_match.dpl>
+  <OpenDisplay=1>
+  <Script=mixer_match.m>
+  <RunScript=0>
+  <showFrame=0>
+  <FrameText0=Title>
+  <FrameText1=Drawn By:>
+  <FrameText2=Date:>
+  <FrameText3=Revision:>
+</Properties>
+<Symbol>
+</Symbol>
+<Components>
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+  <.SP SP1 1 130 710 0 61 0 0 "lin" 1 "100 MHz" 1 "2 GHz" 1 "50" 1 "no" 0 "1" 0 "2" 0 "no" 0 "no" 0>
+  <Eqn Eqn1 1 940 720 -31 15 0 0 "ileft=5e-3+I1" 1 "yes" 0>
+  <Eqn Eqn2 1 940 810 -31 15 0 0 "iright=5e-3-I1" 1 "yes" 0>
+  <.SW SW1 1 650 730 0 61 0 0 "SP1" 1 "lin" 1 "I1" 1 "-5 mA" 1 "5 mA" 1 "11" 1>
+  <SPICE X2 1 680 210 -26 -89 1 2 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X1 1 840 210 -26 -89 0 0 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X3 1 1220 210 -26 -89 0 0 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <SPICE X4 1 1090 210 -26 -89 1 2 "/home/kelvin/repos/ism-915mhz-transceiver/sim/models/BFU520XR_SPICE_GP.PRM" 1 "_net1,_net2,_net3" 0 "yes" 0 "none" 0>
+  <GND * 1 680 300 0 0 0 0>
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+  <GND * 1 1220 300 0 0 0 0>
+  <GND * 1 1280 300 0 0 0 0>
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+  <L L1 1 820 -10 -26 10 0 0 "100 nH" 1 "" 0>
+  <L L2 1 1080 -10 -26 10 0 0 "100 nH" 1 "" 0>
+  <Idc I1 1 760 350 -69 -26 0 3 "ileft" 1>
+  <Idc I2 1 1150 340 -69 -26 0 3 "iright" 1>
+  <GND * 1 760 410 0 0 0 0>
+  <GND * 1 1150 400 0 0 0 0>
+  <Vdc V1 1 530 -110 18 -26 0 1 "5 V" 1>
+  <GND * 1 530 -50 0 0 0 0>
+  <C C2 1 490 280 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <C C1 1 490 360 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <R R2 1 610 230 -93 -26 1 1 "3 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R1 1 610 130 -93 -26 1 1 "2 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R4 1 910 130 -93 -26 1 1 "2 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R5 1 1020 130 -93 -26 1 1 "2 kOhm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R3 1 910 260 -93 -26 1 1 "3k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R6 1 1020 260 16 -26 0 1 "3k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R8 1 1280 230 15 -26 0 1 "3k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R7 1 1280 120 15 -26 0 1 "2k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <R R9 1 920 -100 -26 16 1 2 "330 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <L L3 1 190 420 -26 10 0 0 "12 nH" 1 "" 0>
+  <L L4 1 190 560 -26 10 0 0 "12 nH" 1 "" 0>
+  <L L5 1 350 420 -26 10 0 0 "27 nH" 1 "" 0>
+  <L L6 1 350 560 -26 10 0 0 "27 nH" 1 "" 0>
+  <C C7 1 270 500 17 -26 0 1 "1.2 pF" 1 "" 0 "neutral" 0>
+  <Pac P1 1 80 490 18 -26 0 1 "1" 1 "50 Ohm" 1 "0 dBm" 0 "915 MHz" 0 "26.85" 0>
+  <R R10 1 -60 490 15 -26 0 1 "1k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <C C8 1 30 420 -26 17 0 0 "1.2 pF" 1 "" 0 "neutral" 0>
+  <C C9 1 30 560 -26 17 0 0 "1.2 pF" 1 "" 0 "neutral" 0>
+  <R R11 1 1140 -240 16 -26 1 3 "1k Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "european" 0>
+  <Pac P2 1 1250 -240 18 -26 0 1 "2" 1 "50 Ohm" 1 "0 dBm" 0 "915 MHz" 0 "26.85" 0>
+  <C C3 1 890 540 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <C C4 1 890 620 -26 17 0 0 "100 pF" 1 "" 0 "neutral" 0>
+  <R R14 1 780 540 -26 15 0 0 "33 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "US" 0>
+  <R R15 1 790 620 -26 15 0 0 "33 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "US" 0>
+  <R R12 1 400 280 -26 15 0 0 "33 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "US" 0>
+  <R R13 1 410 360 -26 15 0 0 "33 Ohm" 1 "26.85" 0 "0.0" 0 "0.0" 0 "26.85" 0 "US" 0>
+  <C C11 1 1050 -210 -26 17 0 0 "3.8 pF" 1 "" 0 "neutral" 0>
+  <C C10 1 1050 -280 -26 17 0 0 "3.8 pF" 1 "" 0 "neutral" 0>
+  <L L7 1 920 -210 -26 10 0 0 "12 nH" 1 "" 0>
+</Components>
+<Wires>
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+</Wires>
+<Diagrams>
+</Diagrams>
+<Paintings>
+</Paintings>
diff --git a/sim/mixer_matching.ipynb b/sim/mixer_matching.ipynb
new file mode 100644
index 0000000..4a6292c
--- /dev/null
+++ b/sim/mixer_matching.ipynb
@@ -0,0 +1,206 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 55,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(array([0.8645785 -0.09823784j, 0.85954376-0.10151559j,\n",
+       "        0.85534282-0.10389085j, 0.85223139-0.10548823j,\n",
+       "        0.85032448-0.10640486j, 0.84968251-0.10670324j,\n",
+       "        0.85032448-0.10640486j, 0.85223139-0.10548823j,\n",
+       "        0.85534282-0.10389085j, 0.85954376-0.10151559j,\n",
+       "        0.8645785 -0.09823784j]),\n",
+       " array([0.58060059-0.38299298j, 0.5812387 -0.39895514j,\n",
+       "        0.58112332-0.41153593j, 0.58070618-0.42059005j,\n",
+       "        0.58031978-0.42604352j, 0.58016811-0.42786419j,\n",
+       "        0.58031978-0.42604352j, 0.58070618-0.42059005j,\n",
+       "        0.58112332-0.41153593j, 0.5812387 -0.39895514j,\n",
+       "        0.58060059-0.38299298j]))"
+      ]
+     },
+     "execution_count": 55,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# matching the mixer LO input and RF output to 50 ohms using the S11/S22 parameters\n",
+    "# calculated using Qucs\n",
+    "\n",
+    "import qucs.qucsdata as qd\n",
+    "data = qd.QucsData('bfu520_mixer.dat').data\n",
+    "\n",
+    "\n",
+    "import numpy as np\n",
+    "# find the index closest to 915 MHz\n",
+    "freqs = data['frequency']\n",
+    "idx = np.abs(freqs - 915e+6).argmin()\n",
+    "\n",
+    "s11s = data['S[1,1]']\n",
+    "s22s = data['S[2,2]']\n",
+    "\n",
+    "s11s[idx,:], s22s[idx,:]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 61,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(407.8826087843155-328.42259033407754j)\n",
+      "834.9901269321724j\n",
+      "(672.324866234869+0j)\n",
+      "1.452380394909119e-07\n",
+      "407.8826087843155 152.45788592627554 133.76894422554054\n",
+      "5.712576904340215e-08 1.3003005258265486e-12 2.651849853388749e-08\n"
+     ]
+    }
+   ],
+   "source": [
+    "s11 = np.mean(s11s, axis=1)\n",
+    "s22 = np.mean(s22s, axis=1)\n",
+    "#print(s11)\n",
+    "\n",
+    "import skrf.network as net\n",
+    "\n",
+    "# conjugate match the source\n",
+    "z_s = net.s2z(np.array([[[s11[idx]]]]))[0, 0, 0]\n",
+    "print(z_s)\n",
+    "\n",
+    "# so it looks like it'll need a large series inductor to compensate the imaginary part, followed by a standard \n",
+    "# L match to 50 ohms\n",
+    "l_series_s = -np.imag(z_s)/(2*np.pi*915e+6)\n",
+    "\n",
+    "# how hard would it be to remove the imaginary part using a shunt element?\n",
+    "print(1j/np.imag(1/z_s))\n",
+    "print(1/(1/z_s + 1/(1j/np.imag(1/z_s))))\n",
+    "print(1/(np.imag(1/z_s)*2*np.pi*915e+6))\n",
+    "\n",
+    "# okay, 130 nH is pretty big so I'm going to go with the smaller series option\n",
+    "\n",
+    "r_s = np.real(z_s)\n",
+    "q_s = np.sqrt((r_s - 50.)/50.)\n",
+    "\n",
+    "x_1_s = r_s/q_s\n",
+    "x_2_s = q_s * 50.\n",
+    "print(r_s, x_1_s, x_2_s)\n",
+    "\n",
+    "# let's go with a shunt capacitor followed by an inductor\n",
+    "l_series_s2 = x_1_s/(2*np.pi*915e+6)\n",
+    "c_shunt_s = 1/(2*np.pi*915e+6*x_2_s)\n",
+    "print(l_series_s, c_shunt_s, l_series_s2)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 62,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(407.8826087843155+0j) (39.61039510850523-120.77834197894384j) (39.61039510850523+31.679543947331695j)\n"
+     ]
+    }
+   ],
+   "source": [
+    "# double check\n",
+    "\n",
+    "z_1 = z_s + 2j*np.pi*l_series_s*915e+6\n",
+    "z_2 = 1/(1/z_1 + 1/(1/(2j*np.pi*915e+6*c_shunt_s)))\n",
+    "z_3 = z_2 + 2j*np.pi*915e+6*l_series_s2\n",
+    "\n",
+    "print(z_1, z_2, z_3)\n",
+    "\n",
+    "# TODO maybe simulate it using scikit-rf network stuff"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 71,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(89.46617486489218-105.51717177278026j)\n",
+      "1.83536387636225e-08 3.154815993634542e-08\n",
+      "(213.91402966297977+0j)\n",
+      "213.91402966297977 118.14523420131724 90.53011368129937\n",
+      "1.244415883537231e-08 3.842695462154556e-12\n"
+     ]
+    }
+   ],
+   "source": [
+    "# time to conjugate match the output\n",
+    "#z_l = net.s2z(np.array([[[s22[idx]]]]))[0, 0, 0]\n",
+    "z_l = net.s2z(np.array([[[0.544 - 0.345j]]]))[0, 0, 0]\n",
+    "\n",
+    "print(z_l)\n",
+    "\n",
+    "# series inductor or shunt inductor to cancel out the imaginary impedance? let's compare values like before\n",
+    "z_series_l = -np.imag(z_l)/(2*np.pi*915e+6)\n",
+    "z_shunt_l = 1/(np.imag(1/z_l))/(2*np.pi*915e+6)\n",
+    "\n",
+    "print(z_series_l, z_shunt_l)\n",
+    "print(1/(1/z_l + 1/(2j*np.pi*915e+6*z_shunt_l)))\n",
+    "\n",
+    "# so either a pair of 15 nH series inductors or a 47 nH shunt; let's see how to the L section looks \n",
+    "# before deciding here\n",
+    "\n",
+    "#r_l = np.real(z_l)\n",
+    "r_l = np.real(1/(1/z_l + 1/(2j*np.pi*915e+6*z_shunt_l)))\n",
+    "q_l = np.sqrt((r_l - 50.)/50.)\n",
+    "\n",
+    "x_1_l = r_l/q_l\n",
+    "x_2_l = q_l * 50.\n",
+    "print(r_l, x_1_l, x_2_l)\n",
+    "\n",
+    "# let's give the smaller impedance to the capacitor, so it'll be a shunt inductor\n",
+    "l_shunt_l = x_1_l/(2*np.pi*915e+6)\n",
+    "c_series_l = 1/(2*np.pi*915e+6*x_2_l)\n",
+    "l_shunt_total_l = 1/(1/l_shunt_l + 1/z_shunt_l)\n",
+    "\n",
+    "print(l_shunt_total_l, 2*c_series_l)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/sim/qucs/qucsdata.py b/sim/qucs/qucsdata.py
index 8628884..13d969c 100644
--- a/sim/qucs/qucsdata.py
+++ b/sim/qucs/qucsdata.py
@@ -53,7 +53,8 @@ class QucsData:
 
                 if '<indep' in line:
                     # independent variables
-                    r = re.match(r'(\S+) (\S+) (\d+)', line.translate(None,"<>"))
+                    stripbrackets = str.maketrans(dict.fromkeys("<>"))
+                    r = re.match(r'(\S+) (\S+) (\d+)', line.translate(stripbrackets))
                     kind, identifier, size =  r.groups()
                     # collect identifiers
                     self.names.append(identifier)
@@ -63,7 +64,8 @@ class QucsData:
                 if '<dep' in line:
                     # dependent variables
                     # one or more independent, y=f(v,w,...)
-                    r = re.findall('(\S+)', line.translate(None,"<>"))
+                    stripbrackets = str.maketrans(dict.fromkeys("<>"))
+                    r = re.findall('(\S+)', line.translate(stripbrackets))
                     identifier = r[1]
                     self.dependent[identifier]= r[2:]
                     self.names.append(identifier)