Front-end electronics for silicon trackers

79
1 Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009 Front-end electronics for silicon trackers Valerio Re INFN Sezione di Pavia Università di Bergamo Dipartimento di Ingegneria Industriale

Transcript of Front-end electronics for silicon trackers

Page 1: Front-end electronics for silicon trackers

1Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Front-end electronics

for silicon trackers

Valerio ReINFN

Sezione di Pavia

Università di BergamoDipartimento di Ingegneria Industriale

Page 2: Front-end electronics for silicon trackers

2Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Outline

Discussion of fundamental design parameters of front-end electronics for silicon trackers: signal-to-noise ratio, speed, power dissipation, radiation hardness,…

Architecture of mixed-signal integrated circuits for the readout of silicon pixel and strip detectors for tracking and vertexing in high energy physics experiments

Processing of signals from semiconductor detectors: general concepts (amplification, shaping) and electronic noise

Page 3: Front-end electronics for silicon trackers

3Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

From a single semiconductor sensor…

Particle trackPosition-sensitive detector:

Information about the coordinatesof the interaction point in a segmented region (presence of a hit, amplitude measurement, timing)

(single-sided or double-sided strip detector, pixel sensors)

Ionization sensor converts the energy deposited by a particle to an electrical signal. In a fully-depleted semiconductor sensor, electron-hole pairs are swept to electrodes by an electric field, inducing an electrical current.

Page 4: Front-end electronics for silicon trackers

4Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

…… to a full silicon tracker

Kevlar/carbon-fiber support ribCarbon-fiber endpiece

Carbon-fibersupport cone

Upilex fanouts

350 mre- e+

Beam pipeHybrid/readout ICs

Cooling ring

30o

Si detectorsz=0

BaBar Silicon Vertex Tracker

40 cm30 cm

20 cm

Multiple layers of segmented detectors (pixel, strips) provide space points to reconstruct particle trajectories

BaBar Silicon Vertex Tracker at the Stanford Linear Accelerator Center, 1999-2008: CP violation in B meson decay

Page 5: Front-end electronics for silicon trackers

5Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Readout electronics• Silicon strip detectors need miniaturization of front-

end electronics• They were the driving force for the development of

integrated circuits for these applications

ThisThis isis a a mixedmixed--signalsignal chip, chip, withwith128128--channel channel analoganalog processing, A/D processing, A/D conversionconversion, data , data storagestorage and serial and serial

data data transmissiontransmission..

The The AToMAToM chip chip waswas fabricatedfabricated in in HoneywellHoneywell radrad--hardhard 0.8 0.8 μμm CMOS m CMOS

(300k (300k transistorstransistors) ) forfor the the readoutreadout of of the the BaBarBaBar SVT.SVT.

Page 6: Front-end electronics for silicon trackers

6Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Geoff Hall,TIPP09

TOBTOB

TIDTIDTIBTIB

TECTEC

PDPD

Current CMS Tracker system• Two main sub-systems: Silicon Strip Tracker and Pixels

– pixels quickly removable for beam-pipe bake-out or replacementMicrostrip tracker Pixels

~210 m2 of silicon, 9.3M channels

~1 m2 of silicon, 66M channels

73k APV25s, 38k optical links, 440 FEDs

16k ROCs, 2k olinks, 40 FEDs

27 module types 8 module types~34kW ~3.6kW (post-rad)

Page 7: Front-end electronics for silicon trackers

7Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Hybrid pixel sensors

Page 8: Front-end electronics for silicon trackers

8Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

FPIX2 Layout (Pixel readout chip)DebuggingOutputs

128x22Pixel array

End-of-ColumnLogic

Data OutputInterface

CommandInterface

Registersand DAC’s

LVDS Driversand I/O pads

Internal bondpads for Chip ID

TSMC CMOS 0.25 TSMC CMOS 0.25 μμmm

designeddesigned byby FermilabFermilab

((~ 90 mm~ 90 mm22))

Page 9: Front-end electronics for silicon trackers

9Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Pixel Cells (four 50 x 400 μm cells)12 µm bump pads

Preamp 2nd stage+disc

ADC Kill/inject

ADCencoder

Digital interface

Page 10: Front-end electronics for silicon trackers

10Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Pixel Unit Cell

Vff

Test

SensorInject

Vref

-+

VddaAmplifier

Vth0

Vth1

Vth2

Vth7

3 bit FADC

Hit

Binary Encoder& Register

CommandInterpreter4 pairs of lines,4 commands each:

Latch DataOutput DataIdleReset

Token& BusController

Pulse ht: [0:2]

Row #[0:7]

TokenIn

TokenOut

ColumnBus

Kill

Vfb2

Ifb

Bias voltages & currents are set by DAC’s.

Page 11: Front-end electronics for silicon trackers

11Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Analog front-end designfor detector charge measurements

Radiation detectorsA measure of the information appears in the form of an electriccharge, induced on a set of two electrodes, for which ultimatelyonly one parameter (capacitance) is important.

Front-end electronicsamplifying device

(charge-sensitive preamplifier)filtering, signal shaping

optimize the measurement of a desired quantity such assignal amplitude as a measure of the energy loss of the particle

Page 12: Front-end electronics for silicon trackers

12Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Effect of electronic noise on charge measurementsInherent to the conduction of current in an amplifying device is a random component, depending on the principle of operation of the device.

This random component (noise) associated with amplification givesan uncertainty in the measurement of the charge delivered by the detector or of other parameters such as the position of particleincidence on the detector.

Compromises must be made in very large and complex detector systems such as modern silicon trackers.

Page 13: Front-end electronics for silicon trackers

13Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Statement of the problem of front-end electronics

Measurement of a charge delivered by a capacitive source with the best possible accuracy compatiblewith noise intrinsically present in the amplifyingsystem, and with the constraints set by the differentapplications.(noise - power - speed)

The discussion of design of front-end electronics willbe based on the nuclear electronics noise theory. (basic equations recalled for discussion purposes)

Page 14: Front-end electronics for silicon trackers

14Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Basic element of modern electronics: the MOSFET

Drain

Gate

Source

• Three-terminal device: an electrode controls the current flow between two electrodes at the end of a conductive channel.

• The transconductance gm = dID/dVGS is the ratio of change in the output (drain) current and of the change in the potential of the control (gate) electrode

N+ N+

GS D

P-well

STI STI

P-substrate

N channel

Lateral isolation oxide

Page 15: Front-end electronics for silicon trackers

15Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Typical operating point in low-power pixel sensor readout

1

10

100

10-6 10-5 10-4 10-3

g m/I D

[1/V

]

ID [A]

CMOS 90 nm

N-channel MOSFET (NMOS)

w/l = 40/0.2

Weak inversion law

Strong inversion law

MOSFET essential parameters: the transconductance gm

Under reasonable power dissipation constraints, devices in deep submicron CMOS operate in the weak inversion region

In weak inversion:

(n =1.2 in 100-nm scale CMOS)

TD

m nVIg =

Page 16: Front-end electronics for silicon trackers

16Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

MOSFET essential parameters: channel thermal noise

Thermal noise arises from random velocity fluctuation of charge carriers due to thermal excitation. The spectral density (noise power per unit frequency bandwidth) is white, i.e. frequency independent. In a resistor, this can be modelled in terms of a fluctuating voltage across the resistor, or of a fluctuating current through the resistor.

kTR4df

de2R =

R

RkT4

dfdi2

R =R

The channel of a MOSFET can be treated as a variable conductance. Thermal noise is generated by random fluctuations of charge carriers in the channel and can be expressed in terms of the transconductance gm.

Page 17: Front-end electronics for silicon trackers

17Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

MOSFET essential parameters: channel thermal noise

m2n gkT4

dfdi

Γ=m

2n

gkT4

dfde Γ

=

enin

Thermal noise in a MOSFET can be represented by a current generator in parallel to the device, or by a voltage generator in series with the gate (fluctuation of the drain current can be seen as due to fluctuations of the gate voltage).

k = Boltzmann’s constant, T = absolute temperature

Γ = coefficient (≅ 1) dependent on device operating region, short channel effects…

Page 18: Front-end electronics for silicon trackers

18Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Acquiring the signal from the sensor: the charge-sensitive preamplifier

• The detector signal is a current pulse i(t) of short duration• The physical quantity of interest is the deposited energy, so one

has to integrate the sensor signal

i(t) CD∫=÷ dttiQE SS )(

• The detector capacitance CD is dependent on geometry (e.g. strip length or pixel size), biasing conditions (full or partial depletion), aging (irradiation)

• Use an integrating preamplifier (charge-sensitive preamplifier), so that charge sensitivity (“gain”) is independent of sensorparameters

Page 19: Front-end electronics for silicon trackers

19Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

_

CF

CD

Circuit for chargerestoration on the

feedback capacitor

Q i(t)

Acquiring the signal from the sensor: the charge-sensitive preamplifier

Q/Cf0

ThisThis guaranteesguarantees a a returnreturn toto baselinebaselineofof the the preamplifierpreamplifier output, output, avoidingavoidingsaturationsaturation..

ItIt can can bebe achievedachieved withwith a a resistorresistor RRFFor, in or, in anan integratedintegrated circuitcircuit, , withwith a a CMOS CMOS circuitcircuit ((transconductortransconductor).).

Compensation of detector leakagecurrent can also be performed in the preamplifier feedback (dc coupling)

Page 20: Front-end electronics for silicon trackers

20Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Acquiring the signal from the sensor: the charge-sensitive preamplifier

_

CF

CDQ i(t)

RF tCR1

Fpre,u FFe

CQ)t(v

−⋅=

gmt

Cg

Fpre,u F

m

eCQ)t(v

−⋅=

Out

put v

olta

ge s

igna

l

Time

Page 21: Front-end electronics for silicon trackers

21Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Forward gain stage: CMOS version

VDD

Rvout

vin

G

S

D

gm vGS rDS R

( )Rrgvv

DSmin

out //−=

_

• The forward gain stage is an inverting amplifier which can bebased on the common source configuration

rDS ÷ (ID)-1

rDS ÷ L (device gate length)

Page 22: Front-end electronics for silicon trackers

22Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Forward gain stage: CMOS version• A higher forward gain can be achieved with a folded cascode

configuration. A smaller current in the cascode branch makes itpossible to achieve a high output impedance.

• An output source follower can be used to reduce capacitive loadingon the high impedance node and increase the frequency bandwidth(high gain in a large frequency span)

VDD

I1

vout

vin

I2

vout

I3

Higher current to get a larger gm for higher gain and lower noise

Smaller current to get a larger rDS for higher gain

Page 23: Front-end electronics for silicon trackers

23Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

CMOS feedback network

• Single feedback MOSFET

Reset switch

( )TGSOXNON VVC

1WLR

−μ=

Control signal

_CF

CDQ . δ

Linear resistorReference voltage

_CF

CDQ . δ

Can be used when you can resetthe preamp at fixed times

Page 24: Front-end electronics for silicon trackers

24Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

CMOS feedback network• A large feedback resistor is needed for low noise, since

• It is difficult to fabricate a large physical resistor in monolithicform, or to effectively control the resistance of a MOSFET biasdin the linear region

• A large resistor can be simulated by a CMOS circuit, such as a transconductor, which can be considered to be equivalent to a resistor R = 1/Gm

M1M2 VOUT

iF

+ VDD

RkT4

dfdi2R =

I/2

I

iF = (gm/2)vOUT = Gm vOUT

_

CF

CDQ i(t)

gm

VOUT

VREF

Page 25: Front-end electronics for silicon trackers

25Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Compensation of detector leakage current• Irradiated, dc-coupled pixel sensors may have a considerable

leakage current, which may saturate the feedback transconductoror, flowing in the feedback resistor, considerably affect the dcvoltage at the preamplifier output.

• A CMOS circuit can be designed to accomodate for this leakagecurrent. A popular solution is the following:

_CF

CDIsignal + Ileakage

Ib

The feedback capacitor isdischarged linearly by a constantcurrent. The output signal lendsitself to an amplitude-to-timeconversion (time-over thresholdmeasurement).

-Ib/CFvout

Vth

Page 26: Front-end electronics for silicon trackers

26Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Processing the signal from the sensor: the shaper/filter

• Signal shaping: the voltage step at the preamplifier output has tobe constrained to a finite duration to avoid pileup of successive signals

Shaper outputPreamplifier output

Out

put v

olta

ge s

igna

l

TimeSh

aper

Out

put V

olta

geTime

Page 27: Front-end electronics for silicon trackers

27Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Processing the signal from the sensor: the shaper/filter

• A unipolar “semigaussian” shaper can be built with 1 differentiator(high pass) and n integrators (low-pass).

• This is a compact (n=1) implementation:

τ−

τ=

t

Fu et

CQAtv )(

_

C2

C1

R2

Feedback resistor implemented with a CMOS device or circuit

From the preamplifier

Q/Cf0

Bandwidth-limited gain stage

For correct values of the time constants associated to the feedback network and to the gain stage, the transfer function has two coincident poles

Differentiating capacitance

Page 28: Front-end electronics for silicon trackers

28Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Processing the signal from the sensor: the shaper/filter

• A unipolar “semigaussian” shaper can be built with 1 differentiator(high pass) and n integrators (low-pass).

• This is a compact (n=1) implementation:

τ−

τ=

t

Fu et

CQAtv )(

_

C2

C1

R2

Feedback resistor implemented with a CMOS device or circuit

From the preamplifier

Q/Cf0

Bandwidth-limited gain stage

( )2s1ssT

τ+

τ÷)(

Differentiating capacitance

Page 29: Front-end electronics for silicon trackers

29Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Processing the signal from the sensor: the shaper/filter

• In the AToM (BaBar) and FSSR2 (BTeV) chips (microstrip trackers), a second order (n=2) shaper was implemented with anadditional integrator before the shaper.

• For an nth-order unipolar shaper (higher n: more symmetricalpulse, higher signal rates for the same peaking time):

( )ns1ssT

τ+

τ÷)(

τ−

⎟⎠⎞

⎜⎝⎛

τ=

tn

Fu et

CQAtv )(

Shap

er O

utpu

t Vol

tage

Time

Time domain

Frequency

Gai

n

Frequency domain

Increasing nIncreasing n

Page 30: Front-end electronics for silicon trackers

30Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

“Shaperless” analog channel

-0.02

0

0.02

0.04

0.06

0.08

0.1

0.12

0 5 10 15 20 25 30

iF=3 nA

iF=5 nA

iF=10 nA

iF=15 nA

Prea

mpl

ifier

out

put

[V]

t [μs]

Preamplifier response to an 800 e- pulse

22T14T

iF

CF Vt

Discriminator

Preamplifier

-G(s)

• In future experiments, very small pixels will be needed (< 20x20 μm2

for ILC VTX) with no room in the pixel for a shaper• Under these constraints, a viable solution consists in artificially

reducing the preamplifier bandwidth

Page 31: Front-end electronics for silicon trackers

31Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Charge measuring system and the effect of noise

Noise arises from two uncorrelated sources at the input (series and parallel noise):

CDQ .δ

CF

eN Filter T(s) Shaper

tP

Vmax ÷ Q

CiiN

( ) WI BSN

Charge collection isvery fast in semiconductor detectors

Ionization detectorscan be modeled ascapacitive signalsources

Filter minimizes the measurement error withrespect to noise and the effect of pulse overlap(finite duration)

( )f

AAS f

WeN+=ω

Page 32: Front-end electronics for silicon trackers

32Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Parallel noise sourcesCurrent generators at the

preamplifier inputSeries noise sourcesVoltage generators at the

preamplifier input

Noise sources

AW = 4kTΓgm

White series noiseWhite noise in the main current(drain, collector) of the input deviceother components in the input stagestray resistances in series withthe input

BW = 2qIdet + 2qIG(B) +4kTR

1/f series noise

White parallel noise

Shot noise in detector leakagecurrentshot noise in input device gate (base) currentthermal noise in feedback resistor

A1/ f =Af

f1/f component in the drain current

Page 33: Front-end electronics for silicon trackers

33Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Shot noise

Shot noise is associated to device currents whencharge carriers have to cross a potential barrier (P-N junctions in diodes and bipolar transistor)

( ) qI2SI =ω

In irradiated silicon detectors, leakage current and the associated shot noise may strongly increase

Page 34: Front-end electronics for silicon trackers

34Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

1/f noisegate

drainsource

substrate

oxide

Interaction between charge carriers in the MOSFET channel and traps close to the Si-SiO2 interface leads tofluctuations in the drain current.This can be modeled with a noise voltage generator in series with the device gate, with a 1/f spectral density.

Page 35: Front-end electronics for silicon trackers

35Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Q Vu

σV

Ideally indefinitely narrowdistribution of detector charge

(neglecting statistics in energy depositionand charge creation)

Broadening of pulse amplitude distributionat the shaper output due to electronic noise

Effect of electronic noise on chargemeasurements

Because of electronic noise, the signal amplitude at the shaperoutput has a Gaussian probability density function

Page 36: Front-end electronics for silicon trackers

36Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Effect of electronic noise on charge measurements

Vu

σV

Q

σQ

referred to the input(dividing by the analog channel

charge sensitivity)

The signal amplitude at the outputof the linear analog channel ischaracterized by a Gaussian probabilitydensity function

S / N =VuσV

=Q

σQ=

QENC

= ηQ

Equivalent Noise Charge = standard deviation in the charge measurement

charge injected at the input producing at the output of the linear processor a signal whose amplitude equalsthe root mean square output noise

Page 37: Front-end electronics for silicon trackers

37Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Equivalent Noise Charge (ENC)

CDQ .δ

CF

eN Filter T(s) Shaper

tP

Vmax ÷ Q

CiiN

The mean square value of the noise voltage at the shaperoutput can be calculated as follows:

( ) ( )

( ) ( ) ( ) =⎥⎥⎦

⎢⎢⎣

⎡⋅++

++⋅=

⎥⎦⎤

⎢⎣⎡ ⋅+⋅==

∫∫∞

∞∞

0 W2F

22f

W2F

2FiD2

0 NI2

NINe2

Ne0 u2

N,u

dfB C1jT )

fA

A(C

CCC jT

df)( SjT )( SjT)df(Sv

ωωω

ωωωωω

Page 38: Front-end electronics for silicon trackers

38Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Equivalent Noise Charge (ENC)

( ) ( )

( ) ( ) ( )∫∫

∫∞∞

+++

+

+++

=

0 2

2

2F

W0

2

2F

2FiD

f

0

22F

2FiD

W

djT

21

C1Bd

jT

CCCCA

djT21

CCCCA

ωω

ωπ

ωωω

ωωπ

( )

( )

( )P30 2

2

20

2P

10

2

tAdjT

21

AdjT

tAdjT

21

=

=

=

ωω

ωπ

ωωω

ωωπ

tP = peaking time of the signal at the shaper output

A1, A2, A3 = filter-dependentcoefficients

Page 39: Front-end electronics for silicon trackers

39Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Equivalent Noise Charge (ENC)

( ) ( ) P3W22

FiDfP12

FiDW2F

2N,u

2 tABACCCAtA

CCCACvENC ++++++=⋅=

ysensitiviteargCh

vENC

2N,u

=

CT = CD + Ci + CF= total capacitance at the preamplifier input

In a well designed preamplifier, the noise is determinedby the input device.

Page 40: Front-end electronics for silicon trackers

40Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Equivalent Noise Charge (ENC)

P3W22Tf

P

12TW

2 tABACAtA

CAENC ++=

mW gkT4A Γ

=

White series noise:White series noise:

Neglecting noise in parasitic resistors:Neglecting noise in parasitic resistors:

ΓΓ = 0.5 (BJT)= 0.5 (BJT)

ΓΓ = 2/3 (Long = 2/3 (Long channelchannel FETsFETs))

ΓΓ ≈≈ 1 (1 (ShortShort--channelchannel FETsFETs))

White parallel noise:White parallel noise:qI2BW =

I = II = IBB (BJT)(BJT)

I = II = IGG (gate tunneling current (gate tunneling current in in nanoscalenanoscale CMOS)CMOS)

I = I = IIleakleak Detector Detector leakageleakage currentcurrent

Page 41: Front-end electronics for silicon trackers

41Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Equivalent Noise Charge (ENC)

Series Series 1/f1/f noise (MOSFET):noise (MOSFET):

The ENC contribution from 1/f noise is independent of the The ENC contribution from 1/f noise is independent of the peaking time of the signal at the shaper output; it is peaking time of the signal at the shaper output; it is weaklyweaklydependentdependent on the on the shapeshape of the transfer of the transfer functionfunction of the of the shapershaper..

P3W22Tf

P

12TW

2 tABACAtA

CAENC ++=

WLC

KA

OX

ff =

Oxide capacitance per unit gate area

Transistor geometry (gate Width and Length)

1/f noise parameter;depends on the gate oxide

quality

Page 42: Front-end electronics for silicon trackers

42Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

10

100

1000

0.01 0.1 1 10 100 1000

ENC

[e rm

s]

tP [μs]

parallel noise

1/f series noise

white series noise

total ENC

• In trackers for high luminosity colliders, event rate is very high, and the peaking time has to be short (< 100 ns).

• White series noise is usually dominant here, except withirradiated sensors, where leakage current (and the associatedshot noise) may increase to a very large extent.

Page 43: Front-end electronics for silicon trackers

43Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

ENC: BJT vs MOSFET

100

1000

104

1 10 100 1000

ENC

[e rm

s]

tP [ns]

BJT

MOS

I = 200 μAC

T = 15 pF

• Bipolar transistors have a larger gm/I ratio with respect toMOSFET, which means a lower series white noise for a same current

• BiCMOS (SiGe) technology are an appealing alternative for fast readout systems; since they are less dense than CMOS, their use islimited to strip front-end chips

Page 44: Front-end electronics for silicon trackers

44Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Gate leakage current shot-noise in nanoscale CMOS

GIG 2qI(f)S =

90 nm CMOS process:

• Current density = 1 A/cm2

• W = 1000 μm• L = 0.1 μm

⇒ IG= 1μA⇒ SIG=2qIG=0.56 pA/√Hz

Non negligible noise contribution

Page 45: Front-end electronics for silicon trackers

45Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Rad-hard, low-noise charge preamplifier design:

short strip readout with 90 nm electronics, NMOS input

1/f noise

P3G2T2

OX

fP1

W2 tAqI2CA

WLC

KtAAENC ⋅⋅+

⎟⎟⎟

⎜⎜⎜

⎛+=

White noise Parallel noise

CMOS looks not too different from bipolar transistors

Weak inversion region:

(n =1.2 in 100-nm scale CMOS, n=1 in bipolar transistors)

⇒ Expect ~ 20% higher ENC contribution from white seriesnoise for the same device current

TD

m nVIg =

Series white noise is dominant at tP < 100 ns

DT2

mW IVkT2n

gkT2nA ==

Page 46: Front-end electronics for silicon trackers

46Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

0

500

1000

1500

2000

2500

3000

60 80 100 120 140

FSSR2 chip,input device: NMOS, W/L = 1500/0.45

CD = 57 pFCD = 43 pFCD = 32 pFCD = 20 pFCD = 10 pFCD = 0

ENC

[e

rms]

Peaking time [ns]

0

500

1000

1500

2000

0 10 20 30 40

NMOS, W/L = 1500/0.45EN

C [

e rm

s]

CD [pF]

tP = 125 ns

tP = 85 ns

tP = 60 ns

Noise and detector capacitance

2T2

OX

fP1

W2 CA

WLC

KtAAENC

⎟⎟⎟

⎜⎜⎜

⎛+=

White and 1/f series noise terms (dominant in CMOS) give a contribution to ENC linearly increasing with the detector capacitance (CT =CD + CIN + CF).

Page 47: Front-end electronics for silicon trackers

47Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Capacitive matching

It is possible to minimize ENC by a correct choice of the dimensions of the preamplifier input device (gate width W and length L)

Conditions for optimum matching between the preamplifier input capacitance (CIN = COXWL) and the detector capacitance CD depend on the input device operating region (most often, weak or moderate inversion) and on which series noise contribution is dominant (white or 1/f)

This optimization has to comply with constraints on the power dissipation, which limit the drain current in the input device (in weak inversion, AW ÷ 1/gm ÷ 1/ID)

Page 48: Front-end electronics for silicon trackers

48Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

At At ttPP = 10 = 10 -- 100 ns 100 ns CCININ ≈ 0.1 C≈ 0.1 CDD gives gives

minimum minimum ENCENC

0

0.2

0.4

0.6

0.8

1

10 100 1000 104 105

PMOSNMOS

(CIN

/CD) op

t

tp [ns]

L = 0.35 µmC

D = 10 pF

ID

= 250 µA

White noise White noise dominantdominant

1/f noise dominant1/f noise dominant

0.18 µm technology

Capacitive matching in a deep submicron technology

Page 49: Front-end electronics for silicon trackers

49Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Capacitive matching in a deep submicron technology

Optimum ENC and input NMOS gate width in the CDregion of pixel detectors

Page 50: Front-end electronics for silicon trackers

50Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Extracting a hit information from the sensor signal: the discriminator

• Binary readout: hit/no hit information from a discriminator• This can also be associated to an ADC system, providing an

information about the charge delivered by the detector

CF

Q . δ CD

PREAMPLIFIER

SHAPER

Vth

Vth

DISCRIMINATOR

• In a multichannel readout chip, channel-to-channel thresholdvariations due to device mismatch may degrade detection efficiency and spurious hit rate

Page 51: Front-end electronics for silicon trackers

51Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Cou

nt ra

te

Detector charge

Discriminator threshold

• An excessive threshold dispersion can lead to channels with high noise hit rate or reduced efficiency in signal detection.

Landau distributionof detector charge fora M.I.P.

Noisegaussiandistribution

(σ = ENC)

Most probable valuedepends on:

detector thickness(80 e-h pairs/μm)

charge collectionefficiency(degraded in irradiated silicon)

Efficiency and noise occupancy

Page 52: Front-end electronics for silicon trackers

52Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

• Discriminator threshold dispersion is given by statisticalvariations of the threshold voltage of MOSFETs in the differential pairs used in the discriminator input stage:

M1

I

M2vin

vth

+ VDD

vOUT

M4M3

( )WLA

V2vth

th2 =Δσ

Large area transistors help reduce the effect of threshold mismatch

Threshold dispersion

Page 53: Front-end electronics for silicon trackers

53Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

2

2th

ENC2Q

Pn e

t3f

π=

( )qthsigth ENC4Q σ+>

• As for the noise, the discriminator threshold and its dispersion(divided by the analog channel charge sensitivity) can be treatedin term of input-referred charges, Qth and σqth respectively.

• For a second-order semigaussian shaper, and series white noise asthe dominant contribution to ENC, the frequency of noise hits can be calculated as:

• In practical conditions, the number of noise hits can be kept at acceptably low values by satisfying this condition:

• To maintain an adequate efficiency, a channel-by-channelthreshold adjustment may be necessary (threshold DAC in the pixel cell)

Page 54: Front-end electronics for silicon trackers

54Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Analog-to-digital conversion

Flash, ramp, SAR,……

A

D

clock

ToT

Cst

RS

CF

Q . δ CD

PREAMPLIFIER

SHAPER

Vth

Vth

COMPARATORcounter

Latchedbinaryoutput

Time-Over-Thresholdbinary code

Amplitudeinformation (binary code)

Page 55: Front-end electronics for silicon trackers

55Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

-1.5

-1

-0.5

0

0.5

-1 0 1 2 3 4

Time

Shaper Out

out

Comparator Out

0

2

4

6

8

10

0 10 20 30 40 50 60 70

ToT

/t p

Qin

/Qth

1

1.5

2

2.5

3

0 500 1000 1500 2000

Vou

t [V

]

t [ns]

0

200

400

600

800

1000

1200

0 500 1000 1500

TOT

[ns]

Vout [mV]

Time-Over-Threshold (ToT) analog-to-digital conversion

Compression type characteristic Pseudo-linear characteristic

The ADC conversion of ToT is straightforward, avoiding circuit complexityin a chip with a very high functional density.

Page 56: Front-end electronics for silicon trackers

56Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Readout architecture

Digital information of hit signals is further processed by circuitry associated to each pixel (strip) and at the chip periphery. Position (pixel or strip address), timing (time stamp) and possibly pulseamplitude (from ADC) information must be provided.

All architectures perform data sparsification, processing only data from channels where the signal exceeds the discriminator threshold

Often, a trigger system selects only a fraction of the events for readout, reducing the data volume sent to the DAQ. In this case,information for all hits must be buffered for some time, waiting for a trigger signal (delay of a few μs).

Triggerless (data push architectures) are also available. All hits are read out immediately (as long as the rate is not too high). This allows the tracker information to be used for Level 1 Trigger (BTeV, SLHC)

Page 57: Front-end electronics for silicon trackers

57Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

CF

Q . δ CDPREAMPLIFIER

SHAPER

Vth

COMPARATOR

SRAM BUFFER

0

100

1 11 0

000 00111100 000 0

1111

0

0

TOT COUNTER

CASCADED BUFFERS

HIT INFORMATION BUILDING-UP

SPARSIFICATIONDATA

FORMATTING

DATA TRANSMITTED

Block diagram of the front-end chip AToMfor signal processing in the BaBar Silicon Vertex Tracker

Page 58: Front-end electronics for silicon trackers

58Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

AToM digital section

-10123456

-1 0 1 2 3 4 5Time [µs]

Analogsection

Time StampCounter

TOT Counter

193 RAM cells

15 MHz

60 MHz

Channeladdress

Trigger L1

Serial output

1 start bit4 chip address1 read event/register5 trigger tag5 trigger time

7 channel number5 time stamp4 ToT

Output buffer

Page 59: Front-end electronics for silicon trackers

59Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Time stamp readout in pixel readout chips

A time stamp counter generates a time reference.

The time stamp code:

1) can be distributed to all pixels

The content of an in-pixel time stamp register is frozen when the pixel detects a hit and is then transmitted to the periphery.

2) can stay in the chip periphery or in the “end-of-column” control logic block.

When a pixel is hit, the end-of-column or periphery logic isinformed that one or more hits have occurred and storesthe relevant time stamp in a register.

Page 60: Front-end electronics for silicon trackers

60Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

7.5 mm x 5 mm, input pads with 50 μm pitch

Data outputInterface

ProgrammingInterface

Core Logic

Front-End

FSSR2 chip (triggerless strip detector readout)

Page 61: Front-end electronics for silicon trackers

61Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

FSSR2 block diagram

• FSSR2 Core– 128 analog channels– 16 sets of logic, each

handling 8 channels– Core logic with BCO

counter (time stamp)• Programming Interface

(slow control)– Programmable registers– DACs

• Data Output Interface– Communicates with core

logic– Formats data output

128 channe ls of ana log c ircuits

16 se ts of logic eachhandling 8 ana log channe ls

Core Logic

To s ilicon s trip de tectors

P rogramming Inte rface

DACs P rogrammableRegiste rs

Stee ring LogicWord Seria lize r

ClockControlLogic

NextBlockWord

Cor

eD

ata

Out

putI

nter

face

BCO clock I/O Readoutclock

High S peedOutput

BCO ctr

1 16

Page 62: Front-end electronics for silicon trackers

62Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

X=1 X=16

Y=1

Y=2

Y=16

X=2Time Stamp

Buffer 1

Time Stamp

Buffer 2

Time Stamp

Buffer 16

Cell (1,1) Cell (1,2) Cell (1,16)

Cell (2,1) Cell (2,2) Cell (2,16)

Cell (16,1) Cell (16,2) Cell (16,16)

5 5 5

5554 4 4

4

4

4

445 MUX

Last token out

First token in

XYT

Tkin Tkout

1 1 1

Tkout Tkin

Tkin Tkout Tkin Tkout

Tkout Tkin Tkout Tkin

Tkout Tkin Tkout Tkin Tkout Tkin

TS TS TS

1

1

1

Serial data output

gXb

gYb

TS TS TS

TS TS TS

Readout CK

gXb

gYb

gXb

gYb

gXb

gYb

gXb

gYb

gXb

gYb

gXb

gYb

gXb

gYb

gXb

gYb

Cell CK

gXb=get_X_bus

gYb=get_Y_bus

TS=Time_Stamp

Tkin=token_in

Tkout=Token_out

The number of elements may be increased without changing the pixel logic (just larger X- and Y-registers and serializerwill be required)

ILC VTX pixel ILC VTX pixel readoutreadout architecturearchitecture

Hit pixel

Readout phase:

• token is sent

• token scans the matrix and

• gets caught by the first hit pixel

• sends off the timestamp register content

• data are serialized andtoken scans ahead

• the pixel points to theX and Y registers atthe periphery and

FNAL idea, implemented by INFN in a 130nm CMOS MAPS

Page 63: Front-end electronics for silicon trackers

63Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

CMOS and LHC upgrades: from deep submicron to ultra-deep submicron

130 nm and 90 nm CMOS technologies have the potential of a high degree of radiation tolerance because of the thin gate oxide, but peculiar effects may pose threat (thick isolation oxides, gate tunneling current)

For analog front-end circuits, noise performance under irradiation is critical, since thin and/or heavily irradiated silicon detectors will deliver a considerably smaller signal than standard, 300 μm-thick sensors

New generation of mixed-signal integrated circuits for the readout of pixel and strip detectors for HEP and imaging experiments arebeing designed in CMOS technologies in the 100 nm range

In future collider experiments, pixel sensors and front-end electronics will be very close to the beam interaction region, and radiation tolerance will be an essential requirement

Page 64: Front-end electronics for silicon trackers

64Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Ionizing radiation levels for front-end electronics in SLHC

Pixel layers : 100 Mrad – 350 Mrad

(several years lifetime, not including safety factors)

Short strips (CD = 5 pF): 10 – 15 Mrad

Long strips (CD = 15 pF): 4 – 5 Mrad

Page 65: Front-end electronics for silicon trackers

65Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

N+ N+

Ionizing radiation effects in MOSFETs

Thin gate oxide for core devices, radiation-induced positive charge is removed by tunneling, when thickness ~ 2 nm, as in CMOS technologies in the 100 nm regime

Thick Shallow Trench Isolation Oxide (~ 300 nm); radiation-induced charge-buildup may turn on noisy

lateral parasitic transistors

GS D

P-well

STI STI

P-substrate

Doping profile along STIsidewall is

critical; doping increases with CMOS scaling, decreases in I/O devices Increasing sidewall doping makes a device less sensitive to

radiation (more difficult to form parasitic leakage paths)

Page 66: Front-end electronics for silicon trackers

66Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Industry Scaling Roadmap

• New generation every ~2 years with α = √2• Lg (1970) 8 μm (2007) 18 nm

HEP

Page 67: Front-end electronics for silicon trackers

67Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

CMOS generations: beyond 100 nm, towards 65 nm

Industrial CMOS scaling is entirely driven by commercial digitalelectronics. Front-end electronics may benefit from scaling in terms of functional density (small pitch pixels) and digital performance. Analog design is a challenge (reduced supply voltage and dynamic range, statistical doping effects, ………)

CMOS scaling is going towards sub-100 nm processes. 65 nm CMOS is today a well-established industrial process. Gate material is changing (SiON), VDD = 1.2 V as in 130 nm CMOS. Preliminary data show a comparable noise performance as less scaled technologies; what about radiation hardness (and, obviously, cost)?

Page 68: Front-end electronics for silicon trackers

68Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Page 69: Front-end electronics for silicon trackers

69Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

A different approach: vertical integration• A “3D” chip is generally referred to as a

chip comprised of 2 or more layers of active semiconductor devices that have been thinned, bonded and interconnected to form a “monolithic” circuit.

• Often the layers (sometimes called tiers) are fabricated in different processes.

• Industry is moving toward Vertical Integration to improve circuit performance. – Reduce R, L, C for higher speed– Reduce chip I/O pads– Provide increased functionality– Reduce interconnect power and

crosstalk• This is a major direction for the

semiconductor industry.

Opto Electronicsand/or Voltage Regulation

Digital Layer

Analog Layer

Sensor Layer

Physicist’s Dream

50 um

Power In

Optical In Optical Out

Diode

Analog readoutcircuitry

Diode

Analog readoutcircuitry

Diode

Analog readoutcircuitry

Diode

Analog readoutcircuitry

Pixel control, CDS,A/D conversion

Conventional MAPS 4 Pixel Layout 3D 4 Pixel Layout

Sensor

Analog

Digital

3D Consortium (FNAL, IN2P3, INFN) 3dic.fnal.gov

VIPIX INFN project: eil.unipv.it/vipix

Page 70: Front-end electronics for silicon trackers

70Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Conclusions

New industrial technologies (nanoscale CMOS, vertical integration, …) will be exploited to achieve increasingly demanding specifications

Front-end electronics for silicon trackers in future experiments is an exciting challenge for integrated circuit designers

Classical analog problems (signal amplification and shaping, noise, threshold dispersion) will require clever solutions

Page 71: Front-end electronics for silicon trackers

71Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

References

E. Gatti, P.F. Manfredi: “Processing the signals from solid-state detectors in elementary-particle physics”, La Rivista del NuovoCimento, 1986

V. Radeka: “Low-noise techniques in detectors”, Ann. Rev. Nucl. Part. Sci., 1988

G. Lutz: “Semiconductor radiation detectors”

L. Rossi, P. Fischer, T. Rohe, N. Wermes: “Pixel Detectors. From Fundamentals to Applications”

H. Spieler: “Semiconductor detector systems”

Page 72: Front-end electronics for silicon trackers

72Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Spare slides

Page 73: Front-end electronics for silicon trackers

73Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Pixel detectors in future HEP experiments

• Physics goals set severe requirements:

– High granularity ⇒ small pixel pitch

– Low material budget ⇒ low mass cooling, thin silicon wafers, smallamount of material for support and interconnections

– Small distance to interaction point ⇒ large background

radiation hardness(deep submicron CMOS intrinsically rad-hard)

High data rate, Level 1 trigger

Data sparsification

Mixed-signal chipsFull CMOS

In MAPS, loss ofefficiency due to in-pixel PMOS Digital-to-analog

interferences

Page 74: Front-end electronics for silicon trackers

74Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Rad-hard, low-noise charge preamplifier design: strip readout with 90 nm electronics, NMOS input

At 10 Mrad, at the low current density dictated by power dissipation constraints, the 1/f noise increase affects ENC also in 25 – 50 ns peaking time region.

ENC estimates based on measured noise parameters show that ENC increases by about 20% at tp = 25 ns (430 e → 520 e) and by about 30 % at tp = 50 ns(325 e → 430 e) (the noise contribution from the gate leakage current can be neglected in this range)

102

103

10 100

before irradiation@ 10 Mrad TID

ENC

[e rm

s]Peaking Time [ns]

90 nm processC

D=5 pF

NMOS W/L=380/0.20@ Pd=100 μW

The device width W is optimized as a function of the detector capacitance for the peaking time region around 50 ns under typical power dissipation constraints.

The parallel noise contribution from the detector leakage current is neglected here.

Page 75: Front-end electronics for silicon trackers

75Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Ionizing radiation effects on signal-to-noise ratio: pixel readout with 130 nm electronics

101

102

103

10-9 10-8 10-7 10-6 10-5

before irradiation@ 10 Mrad TID

ENC

[e- rm

s]

Peaking Time [s]

STM 130 nm process

CD=0.5 pF

NMOS W/L=59/0.20@ Pd=12 μW

OPEN LAYOUT

Even at 10 Mrad, in open layout devices the white and 1/f noise degradation increase ENC by 80% - 100% in the 25 – 50 ns peaking time region.

101

102

103

10-9 10-8 10-7 10-6 10-5

before irradiation@ 100 Mrad TID

ENC

[e rm

s]

Peaking Time [s]

2nd 130 nm vendorC

D=0.5 pF

NMOS W/L=46/0.20@ Pd=12 μW

ENCLOSED LAYOUT

In enclosed NMOSFETs, since there are no lateral parasitic devices turning on and contributing to noise, on the basis of irradiation tests we can predict that ENC is not affected by the absorption of high ionizing radiation doses (100 Mrad).

Page 76: Front-end electronics for silicon trackers

76Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Effect of noise on discriminator firing efficiency

Qth Q0

1

Qth Q

Noiseless system

Q Qth

Q

σQ

Qth

Effect of noise

P Qth( )=1

2πσQexp −

q − Q( )2

2σQ2

⎣ ⎢ ⎢

⎦ ⎥ ⎥

Qth

+∞

∫ dq =12

1 + Erf Q − Qth2σ

⎛ ⎝ ⎜ ⎞

⎠ ⎟

⎡ ⎣ ⎢

⎤ ⎦ ⎥

Page 77: Front-end electronics for silicon trackers

77Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Analog channels (FSSR2 chip)

+

CD

Cf

GfShaper

Preamplifier

Bias

BLRCAC

Cinj

Cf1

ProgrammablePeaking time

Test Input(from InternalPulser)

-

Programmable Gain

CR-(RC)2

ProgrammableBaselineRestorer

To 3-bit Flash ADC

Hit/NoHit Discriminator

Single-ended/Differentialconversion

Comparator

+

Threshold DAC(chip wide)

Thresholdcircuit

-Vth

Kill

Page 78: Front-end electronics for silicon trackers

78Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

Processing the signal from the sensor: the baseline restorer

0

20

40

60

80

100

0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4

Channel 2, tp=85 ns

without baseline shift1% occupancy2% occupancy

Com

para

tor f

iring

effi

cien

cy (%

)

Injected charge [fC]

0

20

40

60

80

100

0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4

Channel 1, tp=85 ns

without baseline shift1% occupancy2% occupancy

Com

para

tor f

iring

effi

cien

cy (%

)

Injected charge [fC]

Input signal discriminator scan without BLR Input signal discriminator scan with BLR

Since the signal at the preamplifier output is not an ideal voltage step, but returns to baseline with a long time constant, the signal at the shaper output has a long tail. This results in a baseline shift at the discriminator input, with related statistical fluctuations, adding to the threshold dispersion.

Page 79: Front-end electronics for silicon trackers

79Valerio Re - III Scuola Nazionale “Rivelatori ed Elettronica, INFN – LNL, 20 – 24 aprile 2009

-0.15

-0.1

-0.05

0

0 0.5 1 1.5 2 2.5 3

tP = 85 ns

High gain setting

shaper output

BLR output

V OU

T (V)

Time (μs)

Shift and fluctuations of the baseline at the discriminator input can be removed by a baseline restorer.