1. LFR first PFM calibration results
LFR sweep F0 F1 F2 SWF (9 config, 2 imp.)
LFR LF sweep F1 F2 F3 CWF (3 config, 2 imp.)
LFR background SWF, CWF, ASM (13 config, 3 imp.)
LFR internal cal
+ 5 thermal steps ...
Thomas Chust and the LFR team

2. LFR 11 analogue inputs

3. LFR Decimation and Processing Strategy
:256 :6
(20 bits ?)
8 ADCs @ Hz
decimation
down to ß Hz
( F0 )
(14 bits ideally)
:16 :6
(18 bits ?)
(15 bits) Hz
4 096 Hz
256 Hz
16 Hz
shaping :6
(16 bits) :4
( F1 )
( F2 )
( F3 )
( F0 )
2  E
3  B
1  V
2  E
3  B
2  E
3  B
1  V
2  E
3  B
2  E
3  B
1  V
2  E
3  B
1  V
2  E
(3  B)
FFT
FFT
FFT
(15 bits)
Spectral matrices
(ASM)
Waveforms
(WF)
Spectral matrices
(ASM)
Waveforms
(WF)
Spectral matrices
(ASM)
Waveforms
(WF)
Waveforms
(WF)
Basic parameters
(BP)
Basic parameters
(BP)
Basic parameters
(BP)

4. BIAS 5 analog inputs and the R-parameters
DC V
(G=1/15)
DC dV ~ E (G=1)
AC dV ~ E (G=5 or 100, cutoff~8Hz) R2

5. BIAS CALIBRATION M+50_P+20_S-50_H+20
sweep @F0, F1, F2 (SWF)

6. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF1_F0_F1_F2_1M_
(SE : V1_DC, V2_DC, V3_DC ; Gain = 1/17)
[ BIAS_1, BIAS_2, BIAS_3 ]

7. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF1_F0_F1_F2_1M_
(SE : V1_DC, V2_DC, V3_DC ; Gain = 1/17)
[ BIAS_1, BIAS_2, BIAS_3 ]

8. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF1_F0_F1_F2_1M_
(SE : V1_DC, V2_DC, V3_DC ; Gain = 1/17)
[ BIAS_1, BIAS_2, BIAS_3 ]

9. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF1_F0_F1_F2_1M_
(SE : V1_DC, V2_DC, V3_DC ; Gain = 1/17)
[ BIAS_1, BIAS_2, BIAS_3 ]

10. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF1_F0_F1_F2_100K_
(SE : V1_DC, V2_DC, V3_DC ; Gain = 1/17)
[ BIAS_1, BIAS_2, BIAS_3 ]

11. PFM_CAL_LFR_SWEEP_CONF3_F0_F1_F2_1M_2016-11-22
(DIFF : V13_DC, V23_DC ; Gain = 1)
[BIAS_2, BIAS_3 ]

12. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF3_F0_F1_F2_1M_
(DIFF : V13_DC, V23_DC ; Gain = 1)
[BIAS_2, BIAS_3 ]

13. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF3_F0_F1_F2_1M_
(DIFF : V13_DC, V23_DC ; Gain = 1)
[BIAS_2, BIAS_3 ]

14. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF3_F0_F1_F2_1M_
(DIFF : V13_DC, V23_DC ; Gain = 1)
[BIAS_2, BIAS_3 ]

15. PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M
(DIFF : V13_AC, V23_AC ; Gain = 5)
[BIAS_4, BIAS_5 ]

16. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M
(DIFF : V13_AC, V23_AC ; Gain = 5)
[BIAS_4, BIAS_5 ]

17. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M
(DIFF : V13_AC, V23_AC ; Gain = 5)
[BIAS_4, BIAS_5 ]

18. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M
(DIFF : V13_AC, V23_AC ; Gain = 5)
[BIAS_4, BIAS_5 ]
PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M
(DIFF : V13_AC, V23_AC ; Gain = 5)
[BIAS_4, BIAS_5 ]

19. PFM_CAL_LFR_SWEEP_CONF6_F0_F1_F2_1M_2016-11-23
(DIFF : V12_AC, V23_AC ; Gain = 100)
[BIAS_4, BIAS_5 ]

20. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF6_F0_F1_F2_1M_
(DIFF : V12_AC, V23_AC ; Gain = 100)
[BIAS_4, BIAS_5 ]

21. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF6_F0_F1_F2_1M_
(DIFF : V12_AC, V23_AC ; Gain = 100)
[BIAS_4, BIAS_5 ]

22. M+50_P+20_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF6_F0_F1_F2_1M_
(DIFF : V12_AC, V23_AC ; Gain = 100)
[BIAS_4, BIAS_5 ]

23. PFM_CAL_LFR_SWEEP_CONF6_F0_F1_F2_100K_2016-11-23
(DIFF : V12_AC, V23_AC ; Gain = 100)
[BIAS_4, BIAS_5 ]

24. SCM CALIBRATION
M+20_P+50_S-50_H+20
sweep @F0, F1, F2 (SWF)

25. M+20_P+50_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M_

26. M+20_P+50_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M_

27. M+20_P+50_S-50_H+20
PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M_

28. PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M_2016-11-26

29. TEMPERATURE EFFECTS ? M+50_P+20_S-50_H+20 M+20_P+50_S-50_H+20
sweep @F0, F1, F2 (SWF)

30. PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M
(DIFF : V13_AC, V23_AC ; Gain = 5)
[BIAS_4, BIAS_5 ]

31. PFM_CAL_LFR_SWEEP_CONF5_F0_F1_F2_1M
(DIFF : V13_AC, V23_AC ; Gain = 5)
[BIAS_4, BIAS_5 ]

32. PFM_CAL_LFR_SWEEP_CONF2_F0_F1_F2_1M_2016-11-15

33. PFM_CAL_LFR_SWEEP_CONF3_F0_F1_F2_1M_2016-11-25

34. PFM_CAL_LFR_SWEEP_CONF2_F0_F1_F2_1M_2016-11-15

35. Preliminary PFM calibration conclusion
BIAS TF : ~OK on the amplitudes (could be improved for f > 1 kHz ?)
SCM TF: not OK on the amplitudes (up to ~35% discrepancy at ~1 kHz)
Analyses done with F0, F1, F2 sweep (still not with LF F3)
Still no analysis done with the phases
Still no analysis done on background levels
Temperature effects on LFR appears negligible
( LFR-SCM : ≤ ~1% variation from -20°C to +50°C
LFR-BIAS : < 1% variation from +20°C to +50°C )

36. Additional slides

37. RPW Instrument Overview
Will allow the characterization of the electric and magnetic fields associated
to the dynamics of the near-Sun heliosphere from near DC up to 20 MHz
Main Electronic Box (MEB)
Electric Antennas (ANT)
3xV V LF
Bias Unit V Sp W 1
1HF
Floating volt
age dr
iver V
5xV
BIAS
2HF V
3HF
3xV HF
TNR-HFR V
Auto & cr
oss-spectr a Sp W
1LF
1xB
(4kHz-20MHz) V HF
2LF V V V 2
3LF 3
3xV
Nom. SpW HF
TDS
to/from S/C
1xB HF
Wavefor
500kS/s Sp W
3xV
BIAS
+ LFR Redundancy
RPW-DPU
Search Coil Magnetometer
3xB LF
(SCM)
Red. SpW
to/from S/C B
1LF
5xV
LFR
BIAS
Waveform up
to 25kS/s
3xV Sp W B HF
2LF +
Auto &
cross-
spectr a
3xB LF + k-
vector
(~DC-10kHz) B
3LF
3.3V 2. 5V 5V +/ -1 2V B
3HF
28 V
LVPS-PDU
from S/C
Low Frequency Receiver

38. Current set of Basic Parameters
“Instantaneous” 5 x 5 spectral matrix
(256 FFT points)
Time Averaged Spectral Matrix (ASM)
𝐀𝐒𝐌 ω 𝑗 𝑚 = 1 𝑁 𝑆𝑀 𝑚 𝑘=1 𝑁 𝑆𝑀 𝑚 𝐒𝐌 𝑘 ω 𝑗 𝑚 = 𝐒𝐌 𝑡𝑖𝑚𝑒
𝐒𝐌 ω 𝑗 𝑚 = 𝐵 1 𝐵 1 ∗ 𝐵 1 𝐵 2 ∗ 𝐵 1 𝐵 3 ∗ 𝐵 1 𝐸 1 ∗ 𝐵 1 𝐸 2 ∗ 𝑐𝑐 𝐵 2 𝐵 2 ∗ 𝐵 2 𝐵 3 ∗ 𝐵 2 𝐸 1 ∗ 𝐵 2 𝐸 2 ∗ 𝑐𝑐 𝑐𝑐 𝐵 3 𝐵 3 ∗ 𝐵 3 𝐸 1 ∗ 𝐵 3 𝐸 2 ∗ 𝑐𝑐 𝑐𝑐 𝑐𝑐 𝐸 1 𝐸 1 ∗ 𝐸 1 𝐸 2 ∗ 𝑐𝑐 𝑐𝑐 𝑐𝑐 𝑐𝑐 𝐸 2 𝐸 2 ∗
Frequency average ...
𝐒 ω 𝑗 𝑚 = 𝐀𝐒𝐌 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦
... before computations of the BPs
(i.e. wave parameters)
BP1 set 1: Power spectrum of the magnetic field (B)
BP1 set 2: Power spectrum of the electric field (E)
BP1 set 3: Wave normal vector (from B)
BP1 set 4: Wave ellipticity estimator (from B)
BP1 set 5: Wave planarity estimator (from B)
BP1 set 6: XSO(radial)-component of the Poynting vector
BP1 set 7: Phase velocity estimator
BP2 set 1: Autocorrelations
BP2 set 2: Normalized cross correlations
Mono-k
assumption :
(Means, JGR, 1972)
(Samson & Olson, GJRA, 1980)
𝐧×𝐄 = ω 𝑘 𝐁
𝑆 𝑖𝑗 𝑆 𝑖𝑖 𝑆 𝑗𝑗

39. LFR Spectral Frequencies
Depending on the frequency channel, selection of 96, 104 or 88 consecutive frequency bins among 128 (NFFT = 256) of the time averaged spectral matrices.
Then, the ASMs are averaged over packets of Nfreq (8 or 4) consecutive bins :
Δ 𝑓 𝑚 = 𝑓 𝑚 𝑁 𝐹𝐹𝑇 × 𝑁 𝑓𝑟𝑒𝑞
𝑁 𝑓𝑟𝑒𝑞 = 8
f3 = 16 Hz => waveform [DC, 8Hz] f3 / 2.5 = 6.4 Hz
f2 = 256 Hz => 12 frequencies [6.5Hz, 102.5Hz] Δ f (2) = 8 Hz f2 / 2.5 = Hz
f1 = 4096 Hz => 13 frequencies [88Hz, 1752Hz] Δ f (1) = 128 Hz f1 / 2.5 = Hz
f0 = Hz => 11 frequencies [1584Hz, 10032Hz] Δ f (0) = 768 Hz f0 / 2.5 = Hz
10-1
100
101
102
103
104 Hz
6.4Hz
continuous waveform
6.5Hz
102.5Hz
96 bins
88Hz
1752Hz
104 bins
1584Hz
10032Hz
𝐒= 𝐀𝐒𝐌 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦
88 bins

40. LFR Normal Mode (1) Basic Parameters sampling frequency ...
BP: bps
WF: bps
ASM: bps
TM: bps
Basic Parameters
sampling frequency
BP1
&
BP2
BP1
&
BP2
BP1
BP1
BP1
ASM
BP1
4 SMs
64 SMs
384 SMs
4 SMs
64 SMs
384 SMs
4 SMs
64 SMs
384 SMs
4 SMs
64 SMs
384 SMs
4 SMs
64 SMs
384 SMs
4 SMs
64 SMs
384 SMs
4 SMs
64 SMs
384 SMs
f0 = Hz
...
TBP1_0= 4 s
...
f1 = 4096 Hz
...
TBP1_1= 4 s
...
f2 = 256 Hz
...
TBP1_2= 4 s
...
...
4 s
continuous WF
...
f3 = 16 Hz
20 s
time

41. WaveForms & Averaged Spectral Matrices
LFR Normal Mode (2)
WaveForms & Averaged Spectral Matrices
TASM= 3600 s
sampling frequency
TWF= 300 s WF
BP1
ASM
BP1 WF
384 SMs
384 SMs
384 SMs
f0 = Hz
1/12 s
...
...
...
64 SMs
64 SMs
64 SMs
f1 = 4096 Hz
1/2 s
...
...
...
4 SMs
4 SMs
4 SMs
f2 = 256 Hz
8 s
...
...
...
2048 pts
...
4 s
...
continuous WF
...
f3 = 16 Hz
time

42. LFR Selected Burst Mode 1
BP: bps
WF: bps
ASM: bps
TM: bps
sampling frequency
BP1
&
BP2
BP1
&
BP2
BP1
BP1
BP1
BP1
BP1
24 SMs
24 SMs
24 SMs
24 SMs
24 SMs
24 SMs
24 SMs
f0 = Hz
...
TBP1_0= 0,25 s
...
0,25 s
f1 = 4096 Hz
...
continuous WF
...
1 s
time

43. LFR Selected Burst Mode 2
BP: bps
WF: bps
ASM: bps
TM: bps
sampling frequency
BP1
&
BP2
BP1
&
BP2
BP1
BP1
BP1
BP1
BP1
96 SMs
96 SMs
96 SMs
96 SMs
96 SMs
96 SMs
96 SMs
f0 = Hz
...
TBP1_0= 1 s
...
16 SMs
16 SMs
16 SMs
16 SMs
16 SMs
16 SMs
16 SMs
f1 = 4096 Hz
...
TBP1_1= 1 s
...
f2 = 256 Hz
...
1 s
continuous WF
...
5 s
time

44. LFR block diagram

45. BIAS configuration

46. LFR B1 B2 B3 Transfer Fonctions

47. LFR BIAS Transfer Fonctions