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16722 Sensing and Sensors Mel Siegel (mws@cmu.edu, 412-983-2626)
Sensing and Sensors 2004 Spring Lecture 1 16722 Sensing and Sensors Mel Siegel ) /afs/cs/academic/16722/S2004 course description intro to sensor data processing and sensor fusion
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16-722 Sensing and Sensors 2004 Spring Lecture 1
Class structure 09:30 AM – 10:10 AM administration stuff, background lecture 10:10 AM – 10:50 AM student lecture 1 (30’ lecture + 10’ discussion) 10:50 AM – 11:00 AM break 11:00 AM – 11:40 AM student lecture 2 (30’ lecture + 10’ discussion) 10:40 AM – 12:20PM student lecture 3 (30’ lecture + 10’ discussion) Lecture slides, well annotated 1st content slide: bibliography Last slide: bibliography for further reading Distribute: 10 short quiz (50 pts) + 1 quantitative/programming (50 pts) Collect answers: Monday noon, graded to Mel: Wednesday noon Lecture: 100 (Mel) (peers) follow-up: 100 (Mel) (peers) Final exams can be exempt if you will clearly get an “A”! p.s. all rights reserved regarding its interpretations/changes
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16-722 Sensing and Sensors 2004 Spring Lecture 1
Sensing Sensors sensing: situation awareness understanding it from its underlying physics concepts: measurement limitation signal v.s. noise sensor: implementing sensing sensor fusion: obtain
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Sensory Data Preprocessing
Sensing and Sensors 2004 Spring Lecture 1 Sensory Data Preprocessing to know your sensor’s behavior: measure the same parameter conceptually under unchanged condition: accuracy: how far away is from the “true” value ? precision: how big is the variation s ? calibrate sensor to eliminate system error using s estimation to kick out out-lines take multiple measurements to lower variation:
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Introduction to Sensor Fusion
Sensing and Sensors 2004 Spring Lecture 1 Introduction to Sensor Fusion multiple sensors are needed, how to obtain the best “truth” in terms of actual utility U.S. Joint Directors of Laboratories (JDL) Data Fusion Group, 1985: a process dealing with the association, correlation, and combination of data and information from single and multiple sources to achieve a refined position and identity estimates, and complete and timely assessments of situations and threats, and their significance. The process is characterized by continuous refinements of its estimates and assessments, and the evaluation of the need for additional sources, or modification of the process itself, to achieve improved results. the process of combining data or information to estimate or predict entity states
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sub-object assessment database management system
Sensing and Sensors 2004 Spring Lecture 1 Sensor Fusion Model the revised JDL data fusion model (1998) Level 0 sub-object assessment Level 1 object assessment Level 2 situation assessment Level 3 impact assessment Human- Computer Interface external Sensors Documents People . Data stores distributed Sensors Documents People . Data stores local Sensors Documents People . Data stores Level 4 process refinement database management system support database fusion database sources
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Sensor Fusion Architectures
Sensing and Sensors 2004 Spring Lecture 1 Sensor Fusion Architectures sensors joint identity declaration S1 Sn S2 association Data Level Fusion feature extraction identity declaration (a) Feature Level Fusion identity declaration (b) id decl Declaration Level Fusion identity declaration (c)
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Sensor Data Fusion Types
Sensing and Sensors 2004 Spring Lecture 1 Sensor Data Fusion Types sensors’ output may be “competitive”, “compliment”, or “corporative” (Forward-Looking Infrared image sensor)
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“objective” Sensor Fusion Techniques
Sensing and Sensors 2004 Spring Lecture 1 “objective” Sensor Fusion Techniques naive statistical inference: voting fusion mechanism:
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“subjective” Sensor Fusion: Bayesian inference framework
Sensing and Sensors 2004 Spring Lecture 1 “subjective” Sensor Fusion: Bayesian inference framework basic assumption: hypotheses exclusive & exhaustive different explanations of Bayesian framework
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“subjective” Sensor Fusion: Dempster-Shafer framework
Sensing and Sensors 2004 Spring Lecture 1 “subjective” Sensor Fusion: Dempster-Shafer framework frame of discernment: reasoning space: power-set of the basic elements basic belief assignment does not care complements: belief, plausibility, ambiguity, & ignorance are modeled
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Dempster-Shafer Evidence Combination rule
Sensing and Sensors 2004 Spring Lecture 1 Dempster-Shafer Evidence Combination rule {L}=0.3 {R}=0.6 {L|R}=0.1 {L}=0.4 {L}=0.4x0.3 {Φ}=0.4x0.6 {L}=0.4x0.1 {R}=0.5 {Φ}=0.5x0.3 {R}=0.5x0.6 {L}=0.1x0.3 {R}=0.1x0.6 {L|R}=0.1x0.1
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Dempster-Shafer for Practical Usage
Sensing and Sensors 2004 Spring Lecture 1 Dempster-Shafer for Practical Usage participants are rational & consistent: democratic voting reality: some sensors are more reliable & should enjoy more credibility
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Dempster-Shafer Extension
Sensing and Sensors 2004 Spring Lecture 1 Dempster-Shafer Extension performance over time factor: drift to be considered
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Bayesian versus Dempster-Shafer
Sensing and Sensors 2004 Spring Lecture 1 Bayesian versus Dempster-Shafer Bayesian Dempster-Shafer hypothesis must be exclusive some hypotheses can include others -- different granularity information can be included prior knowledge & new observations unambiguously relate to probabilities prior probability unknown, new observations partially relate to probability & ignorance be counted joint probability distribution must be available joint probability distribution is not required direct correlation with probability helps maximizing expected utility skills needed to correlate evidences with probability, thus weak in decision-making support a generalization/extension of Bayesian inference network
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