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Monday, April 29, 2013
Failure Analysis Techniques: Resolution
Failure Analysis: Tools & Techniques
Topography: SEM (low voltage, inelastic collisions, higher resolution, low contrast) /BSE (high voltage, elastic collisions, lower resolution, high contrast)
Morphology: (lattice geometry, crystallographic structure) EBSD/TEM/AFM/STM
Material analysis:
Elemental: EDX/WDX/XRF
Chemical: (structural bonds, oxidation states) AES/XPS/EELS/SIMS/FTIR
Interaction between primary electrons & matter: SEM, TEM, BSE, EBSD, EDX & WDX
Interaction between primary X-Rays & matter: XPS, AES, XRF
Other techniques: Opticals, X-Rays, CSAM, Curve Trace, TDR, IR & thermal imaging, SQUID, LSM (LIVA/OBIC for opens & TIVA/OBIRCH for shorts), x-sections, P-laps & FIB cuts
Making Sense of Physics-of-Failure Based Approaches
1. Study of the hardware configuration: geometry, design, materials, structure
2. Study of life cycle loads: operational loads (power, voltage, bias, duty cycle) & environmental loads (temperature, humidity, vibration, shock)
3. Stress analysis: Stress-strength distributions/interference, cumulative damage assessment & endurance interference, FMEA, hypothesize failure mechanisms, failure sites & associate failure models, root cause analysis, calculate RPN's to rank & prioritize failures.
4. Reliability assessment: Rel metrics characterization, life estimation, operating/design margin estimation.
5. Interpret & apply results: Design tradeoffs & optimization, ALT planning & development, PHM & HUMS planning.
Why is the Exponential Distribution special?
2. Constant failure rate (or, hazard rate = lambda) -> used to model useful life portion of the bathtub curve.
3. R(t+T) = R(t)
4. A 3-parameter Weibull(eta, beta, gamma) is the same as a 2-parameter exponential (with beta = 1 & eta = MTTF = 1/lambda).
5. A 1-parameter Weibull (eta, beta=1, gamma=0) is the same as 1-parameter exponential (with eta = MTTF = 1/lambda)
6. R(t=MTTF) = 36.8% & Q(t=MTTF) = 63.2%.
Hypothesis Tests: How?
2. Develop null & alternate hypotheses
3. Set up test parameters (1-sided v/s 2-sided, choose distribution & significance level or alpha)
4. Calculate test statistic & corresponding p-value
5. Compare p-value with alpha & interpret results
Hypothesis Tests : Which & When?
1-sample or 2-sample: Use z-test for n>=30 or when population variance is known, else use t-test
> 2-samples: Use ANOVA
Test of Variances:
1-sample: Use Chi-square test
2-samples: Use F-ratio test
Test of Proportions:
1-sample or 2-sample: Use z-test
>2-samples: Use Chi-square test
Distributions
Hypergeometric: Probability of r rejects in n sample size for N population size with d total rejects. (Intended for small, finite, well characterized populations)
Binomial: Probability of r rejects in n sample size, where n < 10% of N population size, where chance of success in any given trial always stays the same (p)(Intended for large population sizes)
Poisson: Probability of r rejects (=defects or events) in infinite population size, for a given failure rate (lambda). (Intended for n->infinity & p->0)
Binomial distribution approximates Hypergeometric distribution for large N.
Poisson distribution approximates Binomial distribution when N tends to infinity.
Distributions for Continuous Data: Normal, Lognormal, Exponential, Weibull
SPC/Control Charts
For variable data, use I-MR (for n=1), X(bar)-R (for n = 2 to 10) or X(bar)- s (for n>10)
For attribute data:
1. Count/proportion of defectives is estimated through binomial distribution. For constant sample size(n), estimate count of defectives using np chart, while for variable sample size, estimate proportion of defectives using p-charts.
2. Count/rate of defects is estimated through poisson distribution. For constant sample size(n), estimate count of defects using c-chart, while for variable sample size, estimate rate of defects using u-chart.
Six Sigma & Process Variation
-Approx 68% of variation is contained within +/- 1sigma
-Approx 95% of variation is contained within +/- 2sigma
-Approx 99.7% of variation is contained within +/- 3sigma
Cp = 1 when +/- 3 sigma is contained within spec limits.
Cp = 1.33 when +/- 4 sigma is contained within spec limits.
Cp = 1.50 when +/- 4.5 sigma is contained within spec limits.
Cp = 1.67 when +/- 5 sigma is contained within spec limits.
Cp = 2.00 when +/- 6 sigma is contained within spec limits.
Acceptance sampling: LTPD & AQL
LTPD = definition of a threshold bad lot.
The sampling plan is designed around the AQL/LTPD such that it defines:
1. MAX chance of ACCEPTING lots of quality that is equal or worse than LTPD. This chance/risk is BETA or CONSUMER's RISK.
2. MAX chance of REJECTING lots of quality that is equal or better than AQL. This chance/risk is ALPHA or PRODUCER's RISK.
Alpha (Probability of rejection) is usually set to 0.05. This equates to 95% chance/confidence of acceptance.
Beta (Probablility of acceptance) is usually set to 0.10. This equates to 90% chance/confidence of rejection.
Power, Confidence, Error, Significance
Accept null hypothesis when false (or false negative) = beta or Type 2 error
Reject null hypothesis when false: POWER = (1-beta)
Accept null hypothesis when true : CONFIDENCE (= 1-alpha)
At high power, beta is small => alpha is large => likely that p-value will be < alpha (significance level). Most effects tend to be deemed significant.
At low power, beta is large => alpha is small => likely that p-value will be > alpha (significance level). Most effects tend to be deemed insignificant.
Thursday, April 25, 2013
2.5/3D TSV & Silicon Interposers: Weighing Pros v/s Cons
Product Development: Womb to Tomb, Cradle to the Grave
Six Sigma : Process & Design
Process: Aims to reduce process variation
Define: Plan, scope, charter, schedule, team, objectives, milestones, deliverables
Measure: MSA, GR&R, Process Capability, Yields
Analyze: Hypothesis tests, ANOVA, PFMEA, Process Maps (KPIV/KPOV)
Improve: DoE
Control: SPC, Control Charts
Design: Aims to reduce cycle time and need for rework
Define: Plan, scope, charter, schedule, team, objectives, milestones, deliverables
Measure: Baseline, benchmark, functional parameters, specs & margins
Analyze: DFMEA, Risk analysis, GAP analysis
Develop: Deliver design
Optimize: DfX - tradeoffs
Validate: Prototype builds
Firefighting through methodical madness
1. Develop Team
2. Define Problem: Failure rate, lots affected, establish scope
3. Containment: Raise red flags, lots on hold, generate documentation, reliability assessment, sampling plans, increased checks & balances
4. Problem analysis: Process mapping, history tracking, establish commonalities & dependencies, consult FMEA, RCA/5W/5M, failure analysis, establish hypotheses, develop CAPA theories (short-term/mid-term/long-term)
5. Verify corrective actions: Engineering studies to duplicate problem and verify effectiveness of CA
6. Implement corrective action: Release lots, provide disposition, soft ramp through full release with increased sampling, document lessons learnt
7. Implement preventive action: Mid-term/long-term actions to prevent any recurrences in future
8. Congratulate team
High Density Integration schemes
PoP, SoC & Die Stacking (wire-bonded only, wire-bonded + flip-chip, TSV/TSI 2.5D/3D, F2F FC bonded die).
Whats in a SoC?
Some digital logic (CPU, GPU & chipset logic such as GNB); Memory (DDR RAM, cache); analog signal & power management (sensors, drivers, actuators, controllers), interconnect buses & interfaces (PCI, HT) and DfT structures (BIST, JTAG Boundary Scans)
An acronymously brief history of semiconductor packaging
CERDIP -> PDIP -> SOP/QFP -> BGA & FCA -> QFN -> CSP/WLP -> PoP/SiP -> SoC -> TSV/TSI
Tuesday, April 23, 2013
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