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Test Equipment
and
Test Economics
1
1/25/2022
Acknowledgement…..
This presentation has been summarized from various
books, papers, websites and presentations on VLSI
Design and its various topics all over the world. I
couldn’t item-wise mention from where these large
pull of hints and work come. However, I’d like to
thank all professors and scientists who created such
a good work on this emerging field. Without those
efforts in this very emerging technology, these notes
and slides can’t be finished.
2
Dr
Usha
Mehta
25-01-2022
Test Equipment
3
1/25/2022
Motivation
• Need to understand Automatic Test
Equipment (ATE) technology
• Influences what tests are possible
• Serious analog measurement limitations at high
digital frequency or in the analog domain
• Understand capabilities for digital logic, memory,
and analog test for testing System-on-a-Chip
(SOC)
• Need to understand parametric testing
• For setup and hold time measurements
• For determination of VIL , VIH , VOL , VOH , tr , tf , td ,
IOL, IOH , IIL, IIH
4
1/25/2022
Automatic Test Equipment
(ATE)
• Consists of:
• Powerful computer
• Powerful 32-bit Digital Signal Processor (DSP)
for analog testing
• Test Program (written in high-level language)
running on the computer
• Probe Head (actually touches the bare or
packaged chip to perform fault detection
experiments)
• Probe Card or Membrane Probe (contains
electronics to measure signals on chip pin or
pad) 5
1/25/2022
Types of Tests
• Parametric
• measures electrical properties of pin
electronics
• delay, voltages, currents, etc.
• fast and cheap
• Functional
• used to cover very high % of modeled faults –
test every transistor and wire in digital
circuits
• long and expensive
6
1/25/2022
Test Specifications & Plan
• Test Specifications:
• Functional Characteristics
• Type of Device Under Test (DUT)
• Physical Constraints – package, pin numbers, etc.
• Environmental Characteristics – power supply,
temperature, humidity, etc.
• Reliability – acceptance quality level
(defects/million), failure rate, etc.
• Test plan generated from specifications
• Type of test equipment to use
• Types of tests
• Fault coverage requirement
7
1/25/2022
Test Programming
8
1/25/2022
Test Data Analysis
• Uses of ATE test data:
• Reject bad DUTs
• Fabrication process information
• Design weakness information
• Devices that did not fail are good only if
tests covered 100% of faults
• Failure mode analysis (FMA):
• Diagnose reasons for device failure, and find
design and process weaknesses
• Improve logic and layout design rules 9
1/25/2022
Automatic Test
Equipment (ATE)
10
1/25/2022
ADVANTEST Model T6682
ATE
11
1/25/2022
T6682 ATE Block Diagram
12
1/25/2022
Algorithmic Pattern Generator
Scan Pattern Generator
Sequential Pattern Generator
Pin Electronic
Parametric Measuremen
T6682 ATE Specifications
• Uses 0.35μ VLSI chips in implementation
• 1,024 digital pin channels
• Speed: 250, 500, or 1000 MHz
• Timing accuracy: +/- 200 ps
• Drive voltage: - 2.5 to 6 V
• Clock/strobe accuracy: +/- 870 ps
• Clock settling resolution: 31.25 ps
• Pattern multiplexing: write 2 patterns in
one ATE cycle
• Pin multiplexing: use 2 pins to control 1
DUT pin
13
1/25/2022
Pattern Generation
• Sequential pattern generator (SQPG): stores
16 Mvectors of patterns to apply to DUT --
vector width determined by # DUT pins
• Algorithmic pattern generator (ALPG): 32
independent address bits, 36 data bits
• For memory test – has address descrambler
• Has address failure memory
• Scan pattern generator (SCPG) supports
JTAG boundary scan, greatly reduces test
vector memory for full-scan testing
• 2 Gvector or 8 Gvector sizes 14
1/25/2022
Response Checking and
Frame Processor
• Response Checking:
• Pulse train matching – ATE matches patterns
on 1 pin for up to 16 cycles
• Pattern matching mode – matches pattern on a
number of pins in 1 cycle
• Determines whether DUT output is correct,
changes patterns in real time
• Frame Processor – combines DUT input
stimulus from pattern generators with
DUT output waveform comparison
• Strobe time – interval after pattern
application when outputs sampled
15
1/25/2022
Probing
• Pin electronics (PE) – electrical buffering
circuits, put as close as possible to DUT
• Uses pin connector at test head
• Test head interface through custom printed
circuit board to wafer prober (unpackaged
chip test) or package handler (packaged
chip test), touches chips through a socket
(contactor)
• Uses liquid cooling
• Can independently set VIH , VIL , VOH , VOL,
IH , IL, VT for each pin
• Parametric Measurement Unit (PMU)
16
1/25/2022
Probe Card and Probe
Needles or Membrane
• Probe card – custom printed circuit board
(PCB) on which DUT is mounted in
socket – may contain custom
measurement hardware (current test)
• Probe needles – come down and scratch
the pads to stimulate/read pins
• Membrane probe – for unpackaged wafers
– contacts printed on flexible membrane,
pulled down onto wafer with compressed
air to get wiping action 17
1/25/2022
T6682 ATE Software
• Runs Solaris UNIX on UltraSPARC 167
MHz CPU for non-real time functions
• Runs real-time OS on UltraSPARC 200
MHz CPU for tester control
• Peripherals: disk, CD-ROM, micro-floppy,
monitor, keyboard, HP GPIB, Ethernet
• Viewpoint software provided to debug,
evaluate, and analyze VLSI chips
18
1/25/2022
LTX FUSION HF ATE
19
1/25/2022
Test Economics
20
1/25/2022
The Meaning of Economics
21
1/25/2022
Economics is the study of how men choose
to use scarce or limited productive
resources (land, labor, capital goods such
as machinery, and technical knowledge) to
produce various commodities (such as
wheat, overcoats, roads, concerts, and
yachts) and to distribute them to various
members of society for their consumption.
-- Paul Samuelson
The first American to win the Nobel Memorial Prize in
Engineering Economics
22
1/25/2022
Engineering Economics is the study of how
engineers choose to optimize their designs
and construction methods to produce
objects and systems that will optimize their
efficiency and hence the satisfaction of their
clients.
Costs
• Fixed cost
• Variable cost
• Total cost
• Average cost
23
1/25/2022
Example: Costs of running a car
Fixed cost
Variable cost
Total cost
Average cost
$25,000
20 cents/mile
$25,000 + 0.2x
$ ───── + 0.2
25,000
x
Purchase price of car
Gasoline, maintenance,
repairs
For traveling x miles
Total cost / x
Simple Cost Analysis
24
1/25/2022
Case 1: 10,000 miles/yr, $12,500 resale value after 5 years
Average cost = $ ────────── + 0.2 = 45 cents/mile
25,000 - 12,500
50,000
Case 2: 10,000 miles/yr, $6,250 resale value after 10 years
Average cost = $ ───────── + 0.2 = 38.75 cents/mile
Case 3: 10,000 miles/yr, $0 resale value after 20 years
Average cost = $ ─────── + 0.2 = 32.5 cents/mile
25,000 - 6,250
100,000
25,000 - 0
200,000
Cost Analysis Graph
25
1/25/2022
40,000
25,000
20,000
200k
150k
100k
50k
100
50
0
0
0
Miles Driven
Fixed,
Total
and
Variable
Costs
($)
Average
Cost
(cents)
Fixed cost
Average cost
Benefit-Cost Analysis
• Benefits: Savings in manufacturing costs
(capital and operational) and time,
reduced wastage, automation, etc.
• Costs: Extra hardware, training of
personnel, etc.
• Benefit/cost ratio
26
1/25/2022
Annual benefits
B/C ratio = ───────────── > 1
Annual costs
Example: A PCB Repair Shop
• Average cost of
repair = $350,
includes
• Cost of diagnostic
test = $300
• Cost of replacement
any one chip = $ 10
• Cost of assembly and
test = $ 40
27
1/25/2022
Faulty PCB
Apply diagnostic
Test
Cost = $300
Replace faulty
Chip and test
Cost = $50
Repair completed
Av. Cost = $350
Example: A PCB Repair Shop
• Average cost of repair = $350, includes
• Cost of diagnostic test = $300
• Cost of replacement any one chip = $ 10
• Cost of assembly and test = $ 40
• Failure data Analysis for 100 chips on PCB
shows that
• Chip A failure rate = 90%
• Chip B failure rate = 90%
• Collective failure rate for chips A and B
= 0.9 + 0.9 – 0.81 = 0.99
• What strategy should be adopted after
Failure data analysis?
28
1/25/2022
PCB Repair Strategies
29
1/25/2022
Faulty PCB
Replace chips
A and B and test
Cost = $60
Replace faulty
Chip and test
Cost = $50
PCB passes
Test?
Apply diagnostic
Test
Cost = $300
Repair completed
Av. Cost = $63.50
Yes Prob=0.99
No
Prob=0.01
Strategy 2
Economics of Design for
Testability (DFT)
• Consider life-cycle cost; DFT on chip may
impact the costs at board and system levels.
• Weigh costs against benefits
• Cost examples: reduced yield due to area
overhead, yield loss due to non-functional
tests
• Benefit examples: Reduced ATE cost due to
self-test, inexpensive alternatives to burn-in
test
30
1/25/2022
Benefits and Costs of DFT
31
1/25/2022
Design
and test
+ / -
+ / -
+ / -
Fabri-
cation
+
+
+
Manuf.
Test
-
-
-
Level
Chips
Boards
System
Maintenance
test
-
Diagnosis
and repair
-
-
Service
interruption
-
+ Cost increase
- Cost saving
+/- Cost increase may balance cost reduction
Summary of Economics
• Economics teaches us how to make the
right trade-offs.
• It combines common sense, experience
and mathematical methods.
• The overall benefit/cost ratio for design,
test and manufacturing should be
maximized; one should select the most
economic design over the cheapest design.
• A DFT or test method should be selected
to improve the product quality with
minimal increase in cost due to area
overhead and yield loss.
32
1/25/2022
VLSI Chip Yield
• A manufacturing defect is a finite chip area
with electrically malfunctioning circuitry
caused by errors in the fabrication process.
• A chip with no manufacturing defect is
called a good chip.
• Fraction (or percentage) of good chips
produced in a manufacturing process is
called the yield. Yield is denoted by symbol
Y.
• Cost of a chip:
33
1/25/2022
Cost of fabricating and testing a wafer
──────────────────────────
Yield × Number of chip sites on the wafer
Clustered VLSI Defects
34
1/25/2022
Wafer
Defects
Faulty chips
Good chips
Unclustered defects
Wafer yield = 12/22 = 0.55
Clustered defects (VLSI)
Wafer yield = 17/22 = 0.77
Defect Level or Reject Ratio
• Defect level (DL) is the ratio of faulty
chips among the chips that pass tests.
• DL is measured as parts per million
(ppm).
• DL is a measure of the effectiveness of
tests.
• DL is a quantitative measure of the
manufactured product quality. For
commercial VLSI chips a DL greater than
500 ppm is considered unacceptable.
35
1/25/2022
Determination of DL
• From field return data: Chips failing in
the field are returned to the
manufacturer. The number of returned
chips normalized to one million chips
shipped is the DL.
• From test data: Fault coverage of tests
and chip fallout rate are analyzed. A
modified yield model is fitted to the
fallout data to estimate the DL.
36
1/25/2022
• Defective Parts Per Million (DPPM):key
metrics used to measure quality in
many semiconductor segments
• For mission-critical segments such as
automotive and medical : DPPB (Per
Billion)
• For a premium vehicle
• more than 7,000 semiconductor devices
• If you assume a DPPM rate of 1 for all the
semiconductor devices
• it equates to seven failures for every 1,000
cars
37
1/25/2022
DPM and Test Coverage
• Considering DPM=100 means 100 bad ICs
out of 1000,000 are escaping the test
• It means in 1000,000, there are 100 bad ICs
and 999,900 good Ics
• Test Coverage = 999,900/1000,000=99.99%
38
1/25/2022
Yield and DPM
• Assuming 10% yield and manufactured
ICs are 1000,000
• 100,000 good IC, 900,000 bad ICs
• Considering 99.99% test coverage
• It means 0.01% faulty ICs are shipped
• It means 90 ICs out of 900,000 bad ICs
escaped the test and shipped along 100,000
good ICs.
• Now in 100,090 ICs, 90 ICs are
defective
• Almost 900 DPM 39
1/25/2022
For Technology with smaller
Geometry
• For Digital
• 100 to 1000 DPM
• For Analog and Mission Critical
• Zero DPM
• For 10nm Technology, 20% yield for many
years for Intel
40
1/25/2022
Summary
• VLSI yield depends on two process
parameters, defect density (d ) and clustering
parameter (α).
• Yield drops as chip area increases; low yield
means high cost.
• Fault coverage measures the test quality.
• Defect level (DL) or reject ratio is a measure of
chip quality.
• DL can be determined by an analysis of test
data.
• For high quality: DL < 500 ppm, fault
coverage ~ 99%
41
1/25/2022

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3 test economic_test_equipments_yield

  • 2. Acknowledgement….. This presentation has been summarized from various books, papers, websites and presentations on VLSI Design and its various topics all over the world. I couldn’t item-wise mention from where these large pull of hints and work come. However, I’d like to thank all professors and scientists who created such a good work on this emerging field. Without those efforts in this very emerging technology, these notes and slides can’t be finished. 2 Dr Usha Mehta 25-01-2022
  • 4. Motivation • Need to understand Automatic Test Equipment (ATE) technology • Influences what tests are possible • Serious analog measurement limitations at high digital frequency or in the analog domain • Understand capabilities for digital logic, memory, and analog test for testing System-on-a-Chip (SOC) • Need to understand parametric testing • For setup and hold time measurements • For determination of VIL , VIH , VOL , VOH , tr , tf , td , IOL, IOH , IIL, IIH 4 1/25/2022
  • 5. Automatic Test Equipment (ATE) • Consists of: • Powerful computer • Powerful 32-bit Digital Signal Processor (DSP) for analog testing • Test Program (written in high-level language) running on the computer • Probe Head (actually touches the bare or packaged chip to perform fault detection experiments) • Probe Card or Membrane Probe (contains electronics to measure signals on chip pin or pad) 5 1/25/2022
  • 6. Types of Tests • Parametric • measures electrical properties of pin electronics • delay, voltages, currents, etc. • fast and cheap • Functional • used to cover very high % of modeled faults – test every transistor and wire in digital circuits • long and expensive 6 1/25/2022
  • 7. Test Specifications & Plan • Test Specifications: • Functional Characteristics • Type of Device Under Test (DUT) • Physical Constraints – package, pin numbers, etc. • Environmental Characteristics – power supply, temperature, humidity, etc. • Reliability – acceptance quality level (defects/million), failure rate, etc. • Test plan generated from specifications • Type of test equipment to use • Types of tests • Fault coverage requirement 7 1/25/2022
  • 9. Test Data Analysis • Uses of ATE test data: • Reject bad DUTs • Fabrication process information • Design weakness information • Devices that did not fail are good only if tests covered 100% of faults • Failure mode analysis (FMA): • Diagnose reasons for device failure, and find design and process weaknesses • Improve logic and layout design rules 9 1/25/2022
  • 12. T6682 ATE Block Diagram 12 1/25/2022 Algorithmic Pattern Generator Scan Pattern Generator Sequential Pattern Generator Pin Electronic Parametric Measuremen
  • 13. T6682 ATE Specifications • Uses 0.35μ VLSI chips in implementation • 1,024 digital pin channels • Speed: 250, 500, or 1000 MHz • Timing accuracy: +/- 200 ps • Drive voltage: - 2.5 to 6 V • Clock/strobe accuracy: +/- 870 ps • Clock settling resolution: 31.25 ps • Pattern multiplexing: write 2 patterns in one ATE cycle • Pin multiplexing: use 2 pins to control 1 DUT pin 13 1/25/2022
  • 14. Pattern Generation • Sequential pattern generator (SQPG): stores 16 Mvectors of patterns to apply to DUT -- vector width determined by # DUT pins • Algorithmic pattern generator (ALPG): 32 independent address bits, 36 data bits • For memory test – has address descrambler • Has address failure memory • Scan pattern generator (SCPG) supports JTAG boundary scan, greatly reduces test vector memory for full-scan testing • 2 Gvector or 8 Gvector sizes 14 1/25/2022
  • 15. Response Checking and Frame Processor • Response Checking: • Pulse train matching – ATE matches patterns on 1 pin for up to 16 cycles • Pattern matching mode – matches pattern on a number of pins in 1 cycle • Determines whether DUT output is correct, changes patterns in real time • Frame Processor – combines DUT input stimulus from pattern generators with DUT output waveform comparison • Strobe time – interval after pattern application when outputs sampled 15 1/25/2022
  • 16. Probing • Pin electronics (PE) – electrical buffering circuits, put as close as possible to DUT • Uses pin connector at test head • Test head interface through custom printed circuit board to wafer prober (unpackaged chip test) or package handler (packaged chip test), touches chips through a socket (contactor) • Uses liquid cooling • Can independently set VIH , VIL , VOH , VOL, IH , IL, VT for each pin • Parametric Measurement Unit (PMU) 16 1/25/2022
  • 17. Probe Card and Probe Needles or Membrane • Probe card – custom printed circuit board (PCB) on which DUT is mounted in socket – may contain custom measurement hardware (current test) • Probe needles – come down and scratch the pads to stimulate/read pins • Membrane probe – for unpackaged wafers – contacts printed on flexible membrane, pulled down onto wafer with compressed air to get wiping action 17 1/25/2022
  • 18. T6682 ATE Software • Runs Solaris UNIX on UltraSPARC 167 MHz CPU for non-real time functions • Runs real-time OS on UltraSPARC 200 MHz CPU for tester control • Peripherals: disk, CD-ROM, micro-floppy, monitor, keyboard, HP GPIB, Ethernet • Viewpoint software provided to debug, evaluate, and analyze VLSI chips 18 1/25/2022
  • 19. LTX FUSION HF ATE 19 1/25/2022
  • 21. The Meaning of Economics 21 1/25/2022 Economics is the study of how men choose to use scarce or limited productive resources (land, labor, capital goods such as machinery, and technical knowledge) to produce various commodities (such as wheat, overcoats, roads, concerts, and yachts) and to distribute them to various members of society for their consumption. -- Paul Samuelson The first American to win the Nobel Memorial Prize in
  • 22. Engineering Economics 22 1/25/2022 Engineering Economics is the study of how engineers choose to optimize their designs and construction methods to produce objects and systems that will optimize their efficiency and hence the satisfaction of their clients.
  • 23. Costs • Fixed cost • Variable cost • Total cost • Average cost 23 1/25/2022 Example: Costs of running a car Fixed cost Variable cost Total cost Average cost $25,000 20 cents/mile $25,000 + 0.2x $ ───── + 0.2 25,000 x Purchase price of car Gasoline, maintenance, repairs For traveling x miles Total cost / x
  • 24. Simple Cost Analysis 24 1/25/2022 Case 1: 10,000 miles/yr, $12,500 resale value after 5 years Average cost = $ ────────── + 0.2 = 45 cents/mile 25,000 - 12,500 50,000 Case 2: 10,000 miles/yr, $6,250 resale value after 10 years Average cost = $ ───────── + 0.2 = 38.75 cents/mile Case 3: 10,000 miles/yr, $0 resale value after 20 years Average cost = $ ─────── + 0.2 = 32.5 cents/mile 25,000 - 6,250 100,000 25,000 - 0 200,000
  • 25. Cost Analysis Graph 25 1/25/2022 40,000 25,000 20,000 200k 150k 100k 50k 100 50 0 0 0 Miles Driven Fixed, Total and Variable Costs ($) Average Cost (cents) Fixed cost Average cost
  • 26. Benefit-Cost Analysis • Benefits: Savings in manufacturing costs (capital and operational) and time, reduced wastage, automation, etc. • Costs: Extra hardware, training of personnel, etc. • Benefit/cost ratio 26 1/25/2022 Annual benefits B/C ratio = ───────────── > 1 Annual costs
  • 27. Example: A PCB Repair Shop • Average cost of repair = $350, includes • Cost of diagnostic test = $300 • Cost of replacement any one chip = $ 10 • Cost of assembly and test = $ 40 27 1/25/2022 Faulty PCB Apply diagnostic Test Cost = $300 Replace faulty Chip and test Cost = $50 Repair completed Av. Cost = $350
  • 28. Example: A PCB Repair Shop • Average cost of repair = $350, includes • Cost of diagnostic test = $300 • Cost of replacement any one chip = $ 10 • Cost of assembly and test = $ 40 • Failure data Analysis for 100 chips on PCB shows that • Chip A failure rate = 90% • Chip B failure rate = 90% • Collective failure rate for chips A and B = 0.9 + 0.9 – 0.81 = 0.99 • What strategy should be adopted after Failure data analysis? 28 1/25/2022
  • 29. PCB Repair Strategies 29 1/25/2022 Faulty PCB Replace chips A and B and test Cost = $60 Replace faulty Chip and test Cost = $50 PCB passes Test? Apply diagnostic Test Cost = $300 Repair completed Av. Cost = $63.50 Yes Prob=0.99 No Prob=0.01 Strategy 2
  • 30. Economics of Design for Testability (DFT) • Consider life-cycle cost; DFT on chip may impact the costs at board and system levels. • Weigh costs against benefits • Cost examples: reduced yield due to area overhead, yield loss due to non-functional tests • Benefit examples: Reduced ATE cost due to self-test, inexpensive alternatives to burn-in test 30 1/25/2022
  • 31. Benefits and Costs of DFT 31 1/25/2022 Design and test + / - + / - + / - Fabri- cation + + + Manuf. Test - - - Level Chips Boards System Maintenance test - Diagnosis and repair - - Service interruption - + Cost increase - Cost saving +/- Cost increase may balance cost reduction
  • 32. Summary of Economics • Economics teaches us how to make the right trade-offs. • It combines common sense, experience and mathematical methods. • The overall benefit/cost ratio for design, test and manufacturing should be maximized; one should select the most economic design over the cheapest design. • A DFT or test method should be selected to improve the product quality with minimal increase in cost due to area overhead and yield loss. 32 1/25/2022
  • 33. VLSI Chip Yield • A manufacturing defect is a finite chip area with electrically malfunctioning circuitry caused by errors in the fabrication process. • A chip with no manufacturing defect is called a good chip. • Fraction (or percentage) of good chips produced in a manufacturing process is called the yield. Yield is denoted by symbol Y. • Cost of a chip: 33 1/25/2022 Cost of fabricating and testing a wafer ────────────────────────── Yield × Number of chip sites on the wafer
  • 34. Clustered VLSI Defects 34 1/25/2022 Wafer Defects Faulty chips Good chips Unclustered defects Wafer yield = 12/22 = 0.55 Clustered defects (VLSI) Wafer yield = 17/22 = 0.77
  • 35. Defect Level or Reject Ratio • Defect level (DL) is the ratio of faulty chips among the chips that pass tests. • DL is measured as parts per million (ppm). • DL is a measure of the effectiveness of tests. • DL is a quantitative measure of the manufactured product quality. For commercial VLSI chips a DL greater than 500 ppm is considered unacceptable. 35 1/25/2022
  • 36. Determination of DL • From field return data: Chips failing in the field are returned to the manufacturer. The number of returned chips normalized to one million chips shipped is the DL. • From test data: Fault coverage of tests and chip fallout rate are analyzed. A modified yield model is fitted to the fallout data to estimate the DL. 36 1/25/2022
  • 37. • Defective Parts Per Million (DPPM):key metrics used to measure quality in many semiconductor segments • For mission-critical segments such as automotive and medical : DPPB (Per Billion) • For a premium vehicle • more than 7,000 semiconductor devices • If you assume a DPPM rate of 1 for all the semiconductor devices • it equates to seven failures for every 1,000 cars 37 1/25/2022
  • 38. DPM and Test Coverage • Considering DPM=100 means 100 bad ICs out of 1000,000 are escaping the test • It means in 1000,000, there are 100 bad ICs and 999,900 good Ics • Test Coverage = 999,900/1000,000=99.99% 38 1/25/2022
  • 39. Yield and DPM • Assuming 10% yield and manufactured ICs are 1000,000 • 100,000 good IC, 900,000 bad ICs • Considering 99.99% test coverage • It means 0.01% faulty ICs are shipped • It means 90 ICs out of 900,000 bad ICs escaped the test and shipped along 100,000 good ICs. • Now in 100,090 ICs, 90 ICs are defective • Almost 900 DPM 39 1/25/2022
  • 40. For Technology with smaller Geometry • For Digital • 100 to 1000 DPM • For Analog and Mission Critical • Zero DPM • For 10nm Technology, 20% yield for many years for Intel 40 1/25/2022
  • 41. Summary • VLSI yield depends on two process parameters, defect density (d ) and clustering parameter (α). • Yield drops as chip area increases; low yield means high cost. • Fault coverage measures the test quality. • Defect level (DL) or reject ratio is a measure of chip quality. • DL can be determined by an analysis of test data. • For high quality: DL < 500 ppm, fault coverage ~ 99% 41 1/25/2022