Differential structures such as backplanes and cables are the primary means for transmitting high speed serial data signals. Signal integrity of these systems is determined by the characteristics of the media such as insertion loss, crosstalk, and differential to common mode conversion.
Complete measurement of the mixed mode s-parameters is often performed by transforming single-ended s-parameters and assuming that the system is linear. In some cases, linearity cannot be assumed such as where active components are used.
This presentation describes how to measure true differential s-parameters which can be measured even in the presence of non-linear elements.
1. True Differential Measurements
Characterization of Balanced Devices and Channels
Dr. Chris Scholz
Product Manager, Vector Network Analyzers Reflectometer 2
Christopher.scholz@rsa.rohde-schwarz.com Meas. Receiver
Ref. Receiver PORT 2
(817) 422 2512
Reflectometer 4
Meas. Receiver
Ref. Receiver PORT 4
Logical
Error PORT 2
corrected Reflectometer 1
Mag Phase Meas. Receiver Balanced
detection DUT
and control Ref. Receiver PORT 1
by software
Logical
PORT 1
Reflectometer 3
Meas. Receiver
Ref. Receiver PORT 3
2. Outline
Reflectometer 2
Meas. Receiver
Ref. Receiver PORT 2
Reflectometer 4
Meas. Receiver
Ref. Receiver
ı Introduction to Signal Integrity
PORT 4
Logical
Error PORT 2
corrected Reflectometer 1
Mag Phase Balanced
Timing detection Meas. Receiver
DUT
and control Ref. Receiver
Signal Quality
PORT 1
by software
Logical
ı Balanced Architectures Reflectometer 3
PORT 1
Meas. Receiver
The need for balanced architectures
Ref. Receiver PORT 3
Ideal vs. non-ideal devices
ı Measurement Techniques for Balanced Architectures
Single mode vs. Differential Mode
Mixed mode S-Parameters Trc18 Sdd21 dB Mag 0.5 dB / Ref -23 dB Ch1 Cal int
Trc21 Sdd21 dB Mag 0.5 dB / Ref -23 dB Ch2 Cal int
2 of 16 (Max)
TureDifferential vs. Virtual Differential
Sdd21
-20.0
TruDifferential Vector Network Analyzer -20.5
ı Experimental Examples
-21.0
-21.5
-22.0
-22.5
-23.0
-23.5
-24.0
Ch1 Start -25 dBm — Freq 1 GHz Stop 0 dBm
1/29/2013 Ch2 Start -28 dBm — 2
Freq 1 GHz Stop -3 dBm
3/8/2007, 1:10 PM
3. Introduction – Signal Integrity
ı What is Signal Integrity?
Signal integrity or SI is a set of measures of the quality of an electrical signal.
If the PCB or package already exists, the designer can also measure the
impairment presented by the connection using high speed instrumentation
such as a vector network analyzer. For example, IEEE P802.3ap Task Force
uses measured S-parameters as test cases[9] for proposed solutions to the
problem of 10 Gbit/s Ethernet over backplanes.
(Source: Wikipedia, last accessed 01/29/2013)
ı Two Key Aspects of SI:
Timing Signal Quality
1/29/2013 3
4. Introduction – Signal Integrity
ı Timing
Jitter
RJ, DJ, SJ, PJ, DDJ, DCD, ISI, etc.
interconnect flight time vs bit period
chip-to-chip vs on-chip
packaging
1/29/2013 4
5. Introduction - Signal Integrity
ı Signal Quality
Noise = (S+N)-S
Ringing
10
Cross talk 8
Distortion 6
Ground Bounce 4
amplitude
Ground Noise 2
Signal Loss 0
Power Supply Noise -2
-4
-6
time
1/29/2013 5
6. Introduction – Signal Integrity
ı Reflection Noise
Caused by impedance mismatch, vias, interconnect discontinuities
ı Crosstalk Noise
Caused by electromagnetic coupling between traces and vias
ı Power and Ground Noise
Caused switching noise of the power and ground delivery systems
ı EMC/EMI Susceptibility
1/29/2013 6
8. Differential Signaling
Unbalanced Device/Channel Balanced (differential) Device/Channel
c
a
2
1 1 2
b
d
• Signals referring to ground ı Signals with equal amplitude but 180° phase
shift
• Also supports a common-mode (in-phase)
signal
• Virtual ground
9. Balanced devices - Why balanced design?
ı Advantages:
ı High noise immunity
Minimizes Power and
ground plane noise
Minimizes EMI
susceptibility
Minimizes Cross talk
Components with
balanced design: ı Low radiated noise
ı High integration density
• Amplifiers ı Lower power
• Mixers
consumption
• Filters (e.g. SAW filters)
• PCB layout in mobile phones
• LAN adapters, converters, filters
• PC components (HDD control, etc)
• Almost all signals high-speed serial data signals
10. Ideal Balanced Device Characteristics
Gain = 1
Differential-mode signal
Fully balanced
Common-mode signal
(EMI or ground noise)
Gain = 1
Differential-mode signal Balanced to
single ended
Common-mode signal
(EMI or ground noise)
Ideally, balanced devices transmit differential and reject common-mode signals
1/29/2013 10
11. Non-Ideal Balanced Device Characteristics
Differential to common-
ı Non-ideal balanced devices convert modes mode conversion
+
Generates EMI
Susceptible to EMI
Common-mode to
differential conversion
1/29/2013 11
14. Parameters to Test for a Balanced Device
ı Performance in pure differential mode
ı Performance in pure common mode
ı Conversion from differential mode to common mode (in both directions)
ı Conversion from common mode to differential mode (in both directions)
1/29/2013 14
15. Balanced Devices Characteristics
ı Real Devices
Propagation of both common mode and differential mode signals
Mode conversion due to non-symmetric design
Susceptability of noise (mainly common mode)
Detailed insight of differential/common mode response required
ı Description of balanced devices via special type of S-Parameters:
Mixed-Mode S-Parameters
1/29/2013 15
16. Challenge when measuring balanced devices
ı Network analyzers are unbalanced
ı Classic Network Analyzers are 2-port instruments
ı No balanced calibration standards
ı No standard reference impedance (Z0) for balanced device
ı Characterization of common and differential transmission model
1/29/2013 16
17. Measurement with Physical BalUns
Measurement with differential mode
signals at a balanced device
Unbalanced
network analyzer
DUT
Balun
1/29/2013 17
18. Measurement with Physical Transformers
Measurement with common
Unbalanced mode signals at a balanced
network analyzer device
DUT
1/29/2013 18
19. Balanced Device Characteristics
Balun setup for Mixed-Mode-Characterization
bal DUT bal
unbal unbal
Each 2-port combination between balanced and unbalanced ports is
necessary for complete mixed mode characterization.
20. Balanced Device Characteristics
Physical BalUns: Disadvantages
ı Calibration plane different from desired measurement plane
ı Degradation of measurement accuracy due to poor RF performance
ı Different configurations for different modes necessary (e.g. differential to
common-mode conversion)
ı Limited in frequency range
ı Solution:
Us ideal (virtual) transformer to characterize mixed mode S-parameters of the
DUT using virtual, ideal transformers
Modal Decomposition Method
Use True Differential Method
1/29/2013 20
21. Basic Architecture: Definition of Differential
Measuremets
Measurement Principle
ı VirDi = Virtual differential Mode
Characterization of balanced DUT as single ended DUT with mathematical
calculation of mixed-mode S-Parameters form single ended S-Parameters
ı TruDi = True differential Mode
Stimulation of DUT with true differential and common mode signals with
calculation of mixed-mode S-Parameters from error corrected mixed mode
wave quantities
1/29/2013 21
22. Virtual Differential Measurement
ı Subsequent single ended measurements with post processing using linear
superposition
ı Applicable for all passive devices and active devices operating in their linear
region
ı Large deviations compared to TruDi in large signal operation, especially in
terms of compression curve characteristics
Nonlinear behavior of the DUT forbids linear superposition
1/29/2013 22
23. True Differential Measurement
ı The DUT is stimulated using a real differential mode or real common mode
signal
ı Better accuracy in small signal operation
ı Accurately measure compression under large signal operation
1/29/2013 23
24. ZVA – True Differential Mode
ı Coherent sources
Generation of true differential and common mode stimulus signals
At least one signal output can be adjusted in amplitude and phase with
respect to the other
ı Simultaneous measurement of two reference signals (a waves) and two
measurement signals (b waves)
ı Four-port calibration in the reference plane
Vector-corrected measurement of a single ended waves or voltages (a and b
waves)
ı Calculation of true differential S-Parameters from vector corrected wave
quantities
1/29/2013 24
25. A True Differential Network Analyzer
Reflectometer 2
Meas. Receiver
Ref. Receiver PORT 2
Reflectometer 4
Meas. Receiver
Ref. Receiver PORT 4
Logical
PORT 2
Error
corrected
Reflectometer 1
Mag Phase Balanced
Meas. Receiver
detection DUT
and control Ref. Receiver
PORT 1
by software
Logical
PORT 1
Reflectometer 3
Meas. Receiver
Ref. Receiver PORT 3
1/29/2013 25
27. Sweep modes (R&S®ZVA-K6)
differential mode 180° common mode 0°
Coherent signals of arbitrary phase and amplitude imbalance are possible
Sweep Modes:
Frequency
Phase (Phase of the stimulating signal can be swept from 0° to 180° )
Magnitude (Variation of the relative magnitude of the differential signals)
“Classical” calibration techniques sufficient (full two port)
Investigation of the DUT under real conditions
1/29/2013 27
28. Typical measurements quality parameters
ı Differential and common mode insertion loss
ı Differential and common mode return loss
ı NEXT-Measurements (Near End Crosstalk)
ı FEXT-Measurements (Far End Crosstalk)
ı Amplitude-Imbalance
ı Phase-Imbalance
ı Common-Mode Rejection Ratio (CMRR)
1/29/2013 28
30. Modal Decomposition Method Principle
4-port device with Description of virtual
16 measured ideal transformers
unbalanced S-
parameter
Calculated mixed mode
S-parameters
ı Calculation of the mixed mode S-parameters using unbalaced S-Parameters
and virtual transformers
1/29/2013 30
31. Modal Decomposition Method
test fixture
a Port 1 Port 3 a
DUT
DUT
b b
Port 2 Port 4
a 1 S 11 S 12 S 13 S 14
b 4
a 2 S 2 1 S 22 S 23 S 24
b 3
a S S S S b
3 31 32 33 34
2
a 4 S 4 1
S 42 S 43 S 44
b 1
ı Measure the balanced 2-port device as unbalanced 4-port device with
unbalanced VNA
1/29/2013 31
32. Solution: Modal Decomposition Method
[Z]
[P], [Q]
[Zm]
ı Calculate the mixed mode Zm-parameters of the combination of DUT with
transformers.
1/29/2013 32
33. Port Configurations Mixed Mode DUT
ı Physical single ending ports logical balanced ports
Port 3 Port 1 Port 4 Port 2 physical ports
DUT logical ports
Port 1 Port 2
ı Different impedances for common-mode and differential-mode
differential-mode (ideally matched) 100 ( =2*Z0 )
common-mode (ideally matched) 25 ( = 1/2*Z0 )
1/29/2013 33
34. Modal Decomposition Method
Mixed Mode S-Parameter Matrix
DU Differential-Mode
stimulus
Common-Mode
stimulus
T Port 1 Port 2 Port 1 Port 2
Logical Port 1 Logical Port 2
Differential- Port 1 S dd11 S d d1 2 S dc11 S dc12
mode
Port 2
S S dd 22 S dc 21 S d c 22
Response
dd 21
Common- Port 1 S cd11 S cd12 S cc1 1 S cc12
mode
Port 2
Response
S cd 21
S cd 22 S cc 21 S cc 22
Naming Convention: S mode res., mode stim., port res., port stim.
1/29/2013 34
35. Mixed Mode S-Matrix: DD Quadrant
input reflection reverse transmission
S dd 11 S dd 12 S dc 11 S dc 12
S dd 21 S dd 22 S dc 21 S dc 22
S cd 11 S cd 12 S cc 11 S cc 12
S cd 21 S cd 22 S cc 21 S cc 22
forward transmission output reflection
ı Describes fundamental performance in pure differential-mode operation
1/29/2013 35
36. Mixed Mode S-Matrix: CC Quadrant
input reflection reverse transmission
S dd 11 S dd 12 S dc 11 S dc 12
S dd 21 S dd 22 S dc 21 S dc 22
S cd 11 S cd 12 S cc 11 S cc 12
S cd
21 S cd 22 S cc 21 S cc 22
forward transmission output reflection
ı Describes fundamental performance in pure common-mode operation
1/29/2013 36
37. Mixed Mode S-Matrix: DC Quadrant
input reflection reverse transmission
S dd 11 S dd 12 S dc 11 S dc 12
S dd 21 S dd 22 S dc 21 S dc 22
S cd 11 S cd 12 S cc 11 S cc 12
S cd
21 S cd 22 S cc 21 S cc 22
forward transmission output reflection
ı Describes conversion of a common-mode stimulus to a differential-mode
response
ı Terms are ideally equal to zero with perfect symmetry
ı Related to the generation to EMI
1/29/2013 37
38. Mixed Mode S-Matrix: CD Quadrant
input reflection reverse transmission
S dd 11 S dd 12 S dc 11 S dc 12
S dd 21 S dd 22 S dc 21 S dc 22
S cd 11 S cd 12 S cc 11 S cc 12
S cd
21 S cd 22 S cc 21 S cc 22
forward transmission output reflection
ı Describes conversion of a differential-mode stimulus to a common-mode
response
ı Terms are ideally equal to zero with perfect symmetry
ı Related to the susceptibility of EMI
1/29/2013 38
39. 3-Port device
single ended common / differential-mode
Single-ended differential-mode
common-mode
Port 1 Port 2
(unbalanced) DUT (balanced)
Single Diff.- Com.-
Ended mode mode
Stim. Stim. Stim.
Port 1 Port 2 Port 2
Single-ended
Response
Port 1 Sss11 Ssd12 Ssc12
S Sdc22
ds21 Sdd22
Differential -
Port 2
Mode Response
common-mode Port 2 Scs 21 Scd 22
Scc22
Response
1/29/2013 39
41. Instrument Control of TruDi
1. Apply full n-port calibration,
e.g. with CalUnit
2. Configure balanced
Measurement
3. Switch to True differential
Mode
1/29/2013 41
42. Special Features of TruDi
ı Simultaneous display of VirDi
and TruDi S-Parameters
ı Same “calibration” for VirDi and
TruDi
ı Measurement of error corrected
S-Parameters and wave
quantities
(measure diff/comm power
with diff/comm stimulation)
ı Phase imbalance sweep
P, f : fixed
(max) = -180° to +180°
ı Magnitude imbalance sweep
f : fixed
P(max) = -10 dB to + 10 dBm
(max)
43. ZVA Coherent Sources
ı Coherence Mode
allows to set an arbitrary phase
and amplitude between the
R&S®ZVA’s signals sources
ı R&S®ZVA-K6 True Differential
Option
ı Applications:
Modulators
Antenna beam forming
ı Realtime measurement
ı In R&S®ZVA67 four individual
phase shifts
44. Example 1: Tunable Active Filter
Trc18 Sdd21 dB Mag 0.5 dB / Ref -23 dB Ch1 Cal int 2 of 16 (Max)
Trc21 Sdd21 dB Mag 0.5 dB / Ref -23 dB Ch2 Cal int
Sdd21
-20.0
-20.5
-21.0
Gain compression
-21.5 true differential
-22.0
-22.5
-23.0
virtual differential
-23.5
-24.0
Ch1 Start -25 dBm — Freq 1 GHz Stop 0 dBm
Ch2 Start -28 dBm — Freq 1 GHz Stop -3 dBm
3/8/2007, 1:10 PM
True differential power axis has been shifted by -3 dB to equalize voltage amplitudes
1/29/2013 44
45. Tunable Active Filter
Trc18 Sdd21 dB Mag 2 dB / Ref -10 dB Ch1 Cal 2 of 16 (Max)
Trc21 Sdd21 dB Mag 2 dB / Ref -10 dB Ch2 Cal int
Sdd21
-2
-4 Trc18 Sdd21 dB Mag 2 dB / Ref -10 dB Ch1 Cal 2 of 16 (Max)
Trc21 Sdd21 dB Mag 2 dB / Ref -10 dB Ch2 Cal int
-6
Sdd21
-8 -2
-10 -4
-12 -6
-14 -8
-16 -10
-18 -12
-14
Ch1 Start 10 MHz — Pwr -20 dBm Stop 2 GHz
Ch2 Start 10 MHz — Pwr -23 dBm Stop -16
2 GHz
3/8/2007, 1:20 PM
-18
Ch1 Start 10 MHz — Pwr -10 dBm Stop 2 GHz
Ch2 Start 10 MHz — Pwr -13 dBm Stop 2 GHz
3/8/2007, 1:19 PM
• No difference between modes at low power (left),
• Higher gain for true mode at high power (right)
1/29/2013 45
46. S-Parameters vs. Input Power
Trc18 Sdd21 dB Mag 5 dB / Ref 0 dB Ca? 1 Trc19 Sdd21 dB Mag 5 dB / Ref 0 dB Cal int 2
Mkr 2
Sdd21
20 Mkr 1 6.96 dBm -4.893 dB Mkr Sdd21
2
20 Mkr 1 6.96 dBm -0.571 dB
Mkr 2 -29.76 dBm 16.145 dB Mkr 2 -29.76 dBm 16.577 dB
10 10
Mkr 1
0 Mkr 1 0
-10 -10
-20 -20
Ch3 Start -30 dBm Freq 1 GHz Stop 11 dBm Ch4 Start -30 dBm Freq 1 GHz Stop 11 dBm
Trc20 Scd21 dB Mag 5 dB / Ref -5 dB Ca? 3 Trc21 Scd21 dB Mag 5 dB / Ref -5 dB Cal int 4
Mkr Scd21
215 •Mkr 1 6.96 dBm -16.735 dB Mkr Scd21
215 Mkr 1 6.96 dBm -12.183 dB
Mkr 2 -29.76 dBm 6.742 dB Mkr 2 -29.76 dBm 7.575 dB
5 5
-5 -5 Mkr 1
Mkr 1
-15 -15
-25 -25
Ch3 Start -30 dBm Freq 1 GHz Stop 11 dBm Ch4 Start -30 dBm Freq 1 GHz Stop 11 dBm
Trc22 Scc21 dB Mag 1 dB / Ref -9 dB Ca? 5 Trc23 Scc21 dB Mag 1 dB / Ref -9 dB Cal int 6
Scc21
-5 Mkr 1 6.96 dBm -6.733 dB Scc21
-5 Mkr 1 6.96 dBm -8.351 dB
Mkr 1
Mkr 2 -29.76 dBm -9.186 dB Mkr 2 -29.76 dBm -8.244 dB
-7 Mkr 2 -7 Mkr 1
Mkr 2
-9 -9
-11 -11
-13 -13
Ch3 Start -30 dBm Freq 1 GHz Stop 11 dBm Ch4 Start -30 dBm Freq 1 GHz Stop 11 dBm
virtual differential mode true differential mode
1/29/2013 46
47. Phase Imbalance Sweep
Trc11 Sdd21 dB Mag 1 dB / Ref -5 dB Cal int 5 of 3 (Max)
Trc12 ac1 dB Mag 10 dB / Ref 0 dBm Cal int
Trc13 ad1 dB Mag 10 dB / Ref 0 dBm Cal int
ad1 Mkr 1 0.000000 ° -2.339 dB
Mkr 1 0.000000 ° -57.751 dBm
10
0 Mkr 1
-10
-20
-30
-40
-50
Mkr 1
-60
-70
Ch7 Phas Imb Start -180° Freq 1 GHz Pwr 0 dBm Stop 180°
1/29/2013 47
48. Phase & Magnitude Imbalance Sweep
Trc1 Sdd21 dB Mag 1 dB / Ref 10 dB Ch1 Cal int 1 of 1 (Max)
Trc2 Sdd21 dB Mag 1 dB / Ref 10 dB Ch2 Cal int
Trc3 bd2 dB Mag 0.5 dB / Ref 3 dBm Ch1 Cal int
Sdd21
15
14
13
12
11
10
9
8
7
Ch1 Ampl Imb Start -10 dB — —Freq 1 GHz Pwr -10 dBm Stop 10 dB
Ch2 Phas Imb Start -180° — Freq 1 GHz Pwr -10 dBm Stop 180°
1/23/2007, 4:54 PM
1/29/2013 48
49. Theoretical Verification
ı Approach:
A model based analysis
Analytical calculations using
MATLAB
Experimental Verification
Measurements
ı DUT
The most simple bipolar
differential amplifier
50. Modeling the DUT
ı The two inputs / outputs can be regarded as common / differential inputs and
outputs
Gain of the individual amplifier
Compression and 3rd
order intermodulation
Sdd 21
ı a1 & afb determine the CMRR CMRR
ratio between differential mode and common mode voltage gain Scc 21
1/29/2013 50
52. Modeling the DUT
ı Does not include a shared feed back (CMRR 0)
ı A system of two independent, ideally identical single-ended amplifiers
ı VirDi leads to underestimation!
Input referred 1-dB compression point
1/29/2013 52
53. TruDi « VirDi
ideal differential pair
I current sourced differential pair (CMRR ®∞)
I VirDi leads to overestimation!
1/29/2013 53
62. Summary: TruDi vs. VirDi
ı Passive Devices/Linear operation
TruDi and VirDi give exactly the same results
ı Active Devices/Non-linear operation
Significant difference between TruDi and VirDi
TruDi represents the real operating conditions of a device
ı TruDi Measurements
Requires two (or more) phase coherent sources
Ability to scan amplitude and phase independently
Relative phase stability of VNA sources is crucial for reproducible results
1/29/2013 62
63. Thank you for your Attention
More information
Rohde & Schwarz boot # 701
http://www.rohde-schwarz.com
Chris Scholz
Christopher.scholz@rsa.rohde-schwarz.com
(817) 422 2512
65. (De)Embedding - Matching Networks
ı Challenges of Fixtures
Mask true device behavior
No well characterized
ı Disadvantages of Physical Matching Networks:
Poor reproducibility
Narrow band
Restricted to low frequencies
Inflexible (one network for one frequency range)
ı Use of theoretically Embedded Matching Networks:
Both Embedding and Deembedding
Highest degree of flexibility to integrate networks
No frequency restriction
Possible disadvantages just with active devices
1/29/2013 65
66. Introduction: Embedding
DUT
DUT
+ Test Fixture
+ Matching Networks
Matching Networks
not present as hardware
but represented by calculation
Available Networks: network analyzer
1 DUT
• Import of arbitrary S-parameter files
Port 2
Port 1
• Use of predefined matching networks
DUT
DUT
+ Test Fixture
67. Introduction: Deembedding
Response of networks network analyzer
not corrected by calibration
corrected by calculation
w/o calibration or deembedding
w/o calibration or deembedding
Reference plane at POR T 1
Reference plane at POR T 2
DUT
Response of test
fixture, strip lines etc.
• Import of S-parameter files
(gained e.g. using a SW design tool)
• Use of predefined networks
Shift of reference plane
by Deembedding
(or alternatively via calibration)