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Time Domain Reflectometry (TDR) and S-parameters Advanced Measurements …not only Signal Integrity - July2009

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Page 1: 1 Time Domain Reflectometry and Sparameters

Time Domain Reflectometry (TDR)

and S-parameters

―Advanced Measurements …not only Signal Integrity ‖ - July2009

Page 2: 1 Time Domain Reflectometry and Sparameters

Agenda

Time Domain Reflectometry

TDR and TDT measurements

True Differential measurements

Deskew

Reference Plane Calibration (SL vs. OSL)

S-parameters

Concept and Definition

Return Loss and Insertion Loss

Cross-talk interference

NEXT and FEXT concepts

Introduction to mixed-mode S-parameters

TDR vs. VNA – S-parameter correlation

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 3: 1 Time Domain Reflectometry and Sparameters

Agenda

Time Domain Reflectometry

TDR and TDT measurements

True Differential measurements

Deskew

Reference Plane Calibration (SL vs. OSL)

S-parameters

Concept and Definition

Return Loss and Insertion Loss

Cross-talk interference

NEXT and FEXT concepts

Introduction to mixed-mode S-parameters

TDR vs. VNA – S-parameter correlation

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 4: 1 Time Domain Reflectometry and Sparameters

What is TDR ?

A pulse generator is used to provide an incident

step pulse ( stimulus )

Voltage Reflection from the Device Under Test

(DUT) is measured by the scope . TDR

mismatch

Shape of the measured Reflection helps

determine the type of discontinuity and its

location

TDR - Time Domain Reflectometry (TDR)

TDR measurements set-up

TDR measures Discontinuities that

cause reflections and their Distance

Time

I t is the measurements of the

reflection in the time domain

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 5: 1 Time Domain Reflectometry and Sparameters

lim ZLoad ∞

Device Under Test

Step

Generator

TDR Module

ZS = 50

+

-

Vmeas

Z0 = 50

Vincident Vreflected

Vincident

Vmeas

time

2 (Vincident)

Vmeasured = Vincident

Vmeasured = Vincident + Vreflected = 2 (Vincident)

Vincident edge

occurs

Vreflected edge occurs

TDR Display

Vreflected = Vincident(

ZLoad – Z0

)ZLoad + Z0

lim ZLoad ∞,

Solving for Vreflected:

Vreflected = Vincident

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Open Circuit (Zload ∞)

TDR example

Page 6: 1 Time Domain Reflectometry and Sparameters

Vmeasured = Vincident

Vmeasured = Vincident + Vreflected =

2(Vincident)

Vincident edge

occurs

Vreflected edge occurs

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Open in the air

TDR example

Page 7: 1 Time Domain Reflectometry and Sparameters

Device Under Test

Step

Generator

TDR Module

ZS = 50

+

-

Vmeas

Vincident Vreflected

lim ZLoad 0

Z0 = 50

time

2 (Vincident)

Vincident

VmeasTDR Display

Vincident edge

occurs

Vmeasured = Vincident

Vreflected edge occurs

Vmeasured = Vincident + Vreflected =

0

Vreflected = Vincident (ZLoad – Z0

)ZLoad + Z0

lim ZLoad �0,

Solving for Vreflected:

Vreflected = -Vincident

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Short Circuit (Zload =0)

TDR example

Page 8: 1 Time Domain Reflectometry and Sparameters

Vincident edge occurs

Vmeasured = Vincident

Vmeasured = Vincident + Vreflected = 0

Normalized trace

Raw trace

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Short terminated (Zload = 0)

TDR example

Page 9: 1 Time Domain Reflectometry and Sparameters

Device Under Test

Step

Generator

TDR Module

ZS = 50

+

-

Vmeas

Vincident Vreflected

ZLoad = 50

Z0 = 50

Vincident

Vmeas

time

TDR Display

Vincident edge

occurs

Vmeasured = Vincident

No reflection occurs

because impedance

is matched

Vreflected = Vincident (ZLoad – Z0

)ZLoad + Z0

ZLoad = Z0,

Solving for Vreflected:

Vreflected = 0

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Matched Impedance (Zload =50 Ohm)

TDR example

Page 10: 1 Time Domain Reflectometry and Sparameters

Vmeasured = Vincident

Vincident edge

occurs

No reflection occurs

because impedance

is matched

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Matched Impedance

TDR example

Page 11: 1 Time Domain Reflectometry and Sparameters

Vincident

Vmeas

time

TDR Display

Vincident edge

occurs

Vmeasured = Vincident Series L

Discontinuity

Vreflected

Device Under Test

ZLoad = 50

Z0 = 50

Z0 = 50

L

Device Under Test

ZLoad = 50

Z0 = 50 Z0 = 50

C

Vincident

Vmeas

time

TDR Display

Vincident edge

occurs

Vmeasured = Vincident

Shunt C

Discontinuity

Inductance (L) and Capacitance (C)

TDR example

Page 12: 1 Time Domain Reflectometry and Sparameters

timet=0

refe

ren

ce p

lan

eVincident

Vmeas

2(Vincident)

TDR step generator

produces incident edge

matched

impedanceVreflected = 0

short circuit

Vreflected = -Vincident

open circuitVreflected = +Vincident

inductive

distortion

capacitive

distortion

The TDR display reveals both the magnitude

and nature of an impedance mismatch.

Understanding TDR display

Page 13: 1 Time Domain Reflectometry and Sparameters

Vincident

Vmeas

time

TDR Display

Transit time, T

D = 0.5*(T)*(vp)

Physical distance to fault location can be

determined by:

D = physical distance to fault location

T = transit time from monitoring point to mismatch

and back (round trip delay)

vp = velocity of propagation (material property)

Device Under Test

ZLoad = 50

Z0 = 50 Z0 = 50 L

Distance, D

Device Under Test

ZLoad = 50

Z0 = 50 Z0 = 50 L

Distance, DDistance, D

Inductive

Discontinuity

Determining Fault Location

TDR example

Page 14: 1 Time Domain Reflectometry and Sparameters

This example shows the actual TDR response of a

transmission line consisting of three impedance

sections in series: 100 ohms, 62 ohms and 100 ohms

Multi Stage Impedance

TDR example

Page 15: 1 Time Domain Reflectometry and Sparameters

What is TDT?

A pulse generator is used to provide an incident step pulse ( stimulus)

Voltage Transmission from the Device

Under Test (DUT) is measured by the

scope

TDT Insertion (Transmission) Loss

Requires two TDR modules – one to generate the step and other to sample

TDT measurements set-up

DUTTwo TDRmodules

TDT - Time Domain Transmission (TDT)

Time

Scope

transmission transmission

It is the measurements of the transmission in the time domain

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 16: 1 Time Domain Reflectometry and Sparameters

True Differential TDR / TDT

High Speed digital systems are mainly differential

DUT

Differential TDR measurements set-up

Scope

Steps Generators

TDR requires two ST-20 modules to

provide the differential signal (

stimulus), step pulses, positive and

negative ( automatically changes

polarity when selecting differential )

De-skew control aligns the two pulses

from each of the two ST-20 modules.

HW deskew (±50 ps)

Requires four TDR modules – two

to generate the differential signal

and other two to receive the

differential signal

Differential TDT measurements set-up

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 17: 1 Time Domain Reflectometry and Sparameters

Reference Plane Calibration

After calibration – effects

of test fixture and

connectors are removed

from response

Before calibration – effects

of test fixture and connectors

are included in the response

Calibration Methods :

Short Load (SL)Uses Two known

standards ( Short & Load)

Open Short Load (OSL)Uses Three known

standards

(Open , Short & Load )

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 18: 1 Time Domain Reflectometry and Sparameters

Agenda

Time Domain Reflectometry

TDR and TDT measurements

True Differential measurements

Deskew

Reference Plane Calibration (SL vs. OSL)

S-parameters

Concept and Definition

Return Loss and Insertion Loss

Cross-talk interference

NEXT and FEXT concepts

Introduction to mixed-mode S-parameters

TDR vs. VNA – S-parameter correlation

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 19: 1 Time Domain Reflectometry and Sparameters

Introduction to S-Parameters

S-parameters (Scattering matrix) are the way we electrically accurately

describe how RF energy propagates through a multi-port DUT.

DUT even if incredibly complicated is considered as simple ―black box‖

The S-parameter matrix for an N-port DUT contains N2

S-parameters

S-parameters are complex numbers ( magnitude and phase )

Frequency

S11 – Magnitude Reflection

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 20: 1 Time Domain Reflectometry and Sparameters

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

What are S-Parameters ?

S-parameters are a measure of reflection and transmission properties of power in a DUT

‗S‘ stands for ―Scattering‖

DUT could be for example: a coax cable, passive antenna, active

amplifier, microwave filter, etc. S-parameters have magnitude (dB) and phase (degrees)

Naming Scheme : S<output port><input port>o Example S21 = transmission from port 1 to port 2

Vector Network Analyzer (VNA) and TDR ( Time Domain Reflectometer) are typically used to measure S-parameters.

2-port DUTZS

ZL

Port

1

Port

2

a1, Incident Power

b1, Reflected Power

b2, Transmitted Power

Page 21: 1 Time Domain Reflectometry and Sparameters

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

2-Port S-Parameter Definitions

S11= b1/a1a2=0 Input reflection coefficient with the output

port terminated by a matched load

S21= b2/a1a2=0 Forward transmission gain with the output

port terminated by a matched load

S22= b2/a2a1=0 Output reflection coefficient with the input

port terminated by a matched load

S12= b1/a2a1=0 Reverse transmission gain with the output

port terminated by a matched load

b1=S11a1+S12a2b2=S21a1+S22a2

a1

b1

b2

2-port DUT

ZS ZL

Port

1

Port

2

a2

Page 22: 1 Time Domain Reflectometry and Sparameters

S21

calculation for a 24’’ backplane

Example of S-parameter plot

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 23: 1 Time Domain Reflectometry and Sparameters

Port Numbering Problem Answer

5.8324.134

325.9344.1

6.135932

331329

= Trace Impedance Match/Mismatch

= Strong Port-Port Coupling

1 3

2 4

differential

transmission line

Ports 1 and 3 are strongly coupled

Ports 2 and 4 are strongly coupled

Page 24: 1 Time Domain Reflectometry and Sparameters

Agenda

Time Domain Reflectometry

TDR and TDT measurements

True Differential measurements

Deskew

Reference Plane Calibration (SL vs. OSL)

S-parameters

Concept and Definition

Return Loss and Insertion Loss

Cross-talk interference

NEXT and FEXT concepts

Introduction to mixed-mode S-parameters

TDR vs. VNA – S-parameter correlation

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 25: 1 Time Domain Reflectometry and Sparameters

Stimulus Transmission

Reflection

Reflection / Transmission

( Frequency Domain )

Reflection: Return Loss (dB)

o ratio in dB of the reflected signal power relative to the incident signal power

Transmission : Insertion Loss (dB)

o ratio in dB of the transmitted signal power relative to the incident signal power

S21 backplane

Frequency

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 26: 1 Time Domain Reflectometry and Sparameters

Agenda

Time Domain Reflectometry

TDR and TDT measurements

True Differential measurements

Deskew

Reference Plane Calibration (SL vs. OSL)

S-parameters

Concept and Definition

Return Loss and Insertion Loss

Cross-talk interference

NEXT and FEXT concepts

Introduction to mixed-mode S-parameters

TDR vs. VNA – S-parameter correlation

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 27: 1 Time Domain Reflectometry and Sparameters

NEXT/FEXT on adjiacent trasmission lines

Near-End Cross Talk ( NEXT ) is the ratio between the voltage

measured on the near end on the quiet line and the stimulus.

Far-End Cross Talk ( FEXT) is the ratio between the voltage

measured on the far end on the quiet line and the stimulus.

NEXT-FEXT Cross-talk measured the coupling between two

adjacent transmission lines

Active or Aggressor Line

Quiet or Victim Line

Stimulus / TDR Response

NEXT

TDT Response

FEXT

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 28: 1 Time Domain Reflectometry and Sparameters

NEXT – Quiet Line @ 50Ω

Line Length

Round Trip Time

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 29: 1 Time Domain Reflectometry and Sparameters

NEXT – Quiet Line Open Terminated

Line Length

Round Trip Time

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 30: 1 Time Domain Reflectometry and Sparameters

NEXT – Quiet Line Open Terminated

readout

NEXT

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 31: 1 Time Domain Reflectometry and Sparameters

Agenda

Time Domain Reflectometry

TDR and TDT measurements

True Differential measurements

Deskew

Reference Plane Calibration (SL vs. OSL)

S-parameters

Concept and Definition

Return Loss and Insertion Loss

Cross-talk interference

NEXT and FEXT concepts

Introduction to mixed-mode S-parameters

TDR vs. VNA – S-parameter correlation

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 32: 1 Time Domain Reflectometry and Sparameters

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

General 4 port Measurement Setup

4-port DUT can be modeled as single-ended or differential

Single ended S-parameter measurements for a 4-port network are

straightforward—just like 2-port case, only more S-parameters

A 4-port DUT can also be modeled as 2-port differential DUT and in this

case represented using ―Mixed-Mode‖ S-Parameters

4-port DUT

Port

1

Port

2

50Ω 50Ω

Port

3

Port

4

50Ω 50Ω

44434241

24333231

24212221

14131211

SSSS

SSSS

SSSS

SSSS

Page 33: 1 Time Domain Reflectometry and Sparameters

Mixed Mode S-Parameters

s 11

s 21

s 31

s 41

s 12

s 22

s 32

s 42

s 13

s 23

s 33

s 43

s 14

s 24

s 34

s 44

a1

a2

a3

a4

b1

b2

b3

b4

2

1

2

1

2

1

2

1

22212221

12111211

22212221

12111211

cb

cb

db

db

ca

ca

da

da

SccSccScdScd

SccSccScdScd

SdcSdcSddSdd

SdcSdcSddSdd

Differential

Mode Terms

Common Mode

Terms

Mixed Mode

S-parameters1

D D

C C

2

Single-ended

S-parameters

1 3

2 4

Page 34: 1 Time Domain Reflectometry and Sparameters

Agenda

Time Domain Reflectometry

TDR and TDT measurements

True Differential measurements

Deskew

Reference Plane Calibration (SL vs. OSL)

S-parameters

Concept and Definition

Return Loss and Insertion Loss

Cross-talk interference

NEXT and FEXT concepts

Introduction to mixed-mode S-parameters

TDR vs. VNA – S-parameter correlation

"Advanced Measurements ....not only Signal Integrity" - TDR and S-parameters

Page 35: 1 Time Domain Reflectometry and Sparameters

TDR/TDT and VNA – S-parameter

TDR/TDT and S-parameter are describing reflection / transmission respectively

in the time domain and in the frequency domain .

TDR/TDT S-Parameter

TDR/ TDT measurements may be

converted into the frequency domain

for S-parameter analysis.

S-parameter measurements may

be converted into the time domain

for TDR/TDT measurements

Reflection – Correlation on S11

VNA S-parameter measurement

compared to WaveExpert extracted S-

parameter from TDR measurement