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Layerless Dynamic Networks
Information Theory for Mobile Ad-Hoc Networks (ITMANET): The FLoWS Project Thrust 2 Layerless Dynamic Networks Lizhong Zheng
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Application and Network
MANET Metrics Constraints Capacity Delay Power Upper Bound Lower Capacity and Fundamental Limits New Paradigms for Upper Bounds Models and Dynamics Layerless Dynamic Networks Degrees of Freedom Application Metrics and Network Performance Capacity Delay Power Utility=U(C,D,E) Application and Network Optimization (C*,D*,E*) Fundamental Limits of Wireless Systems FLoWS Models New MANET Theory Metrics Application Metrics
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Layerless Dynamic Networks
Dynamic : Separation of functionalities by different time scales no longer optimal. Time varying channel/network environments, lack of information, high overhead costs; Data/side information available in a variety of forms, with a wide range of quality/precision/reliability; Broadcasting and interference, beyond point-to-point communications; Layerless: Our solution to the dynamic problems Network information theory: cooperative/cognitive transmissions, relay and soft information processing, feedbacks; Heterogeneous data processing, prioritizing data by different levels of reliability; networking based on new interface to the physical layer; The principle of network coding, transmit-collect-combine pieces of information, generalized form and coordination in dynamic networks; Operating with imperfect side information, robustness and universal designs.
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Thrust Areas Network information theory Generalizing network coding
Multi-terminal communication schemes with cooperative and cognitive signaling, interference mitigation, broadcast/relay; Generalizing network coding Dynamic environment and feedbacks; Structured code designs Efficient transmission of heterogeneous data; Universal and robust algorithms Reducing the requirement of coordination overhead; Feedback Moving towards larger networks
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Recent Thrust Achievements: Relaying, forwarding, and combining soft information
Likelihood forwarding – Koetter General relaying for multicast – Goldsmith DMT for multi-hop networks -- Goldsmith Cognitive interference / Z channels -- Goldsmith Based on generalized Gel’fand-Pinsker channel; Optimal structure for interference. Interference forwarding -- Goldsmith Taking advantage of the structure of codebooks; Forwarding interference so it can be decoded and cancelled. MIMO cognitive networks -- Goldsmith Spatial degrees of freedom for cognition and cooperation; Cooperation in broadcasting, multiple prime users. relay dest1 dest2 source 1 source 2
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Recent Thrust Achievements: Structured code designs
Broadcasting with layered source codes – Goldsmith Generalized capacity/distortion for joint source channel codes – Effros & Goldsmith UEP: performance limits and applications -- Zheng Theoretical limits for heterogeneous data transmissions; Unifying resource allocation between control and data messages, a new interface to the physical layer. Layered joint source channel codes -- Medard & Zheng Distortion-diversity tradeoff: a performance metric for dynamic source-channel problems; Multiple descriptions carried by layered channel codes
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Generalized Network Coding
Recent Thrust Achievements: Generalized Network Coding Using feedbacks with linear network coding – Medard ACK used to estimate transmission time and channel condition; Improve delay/energy efficiency for TDD systems; Contents feedback with Network Coding – Effros Avoid unnecessary retransmissions; Strictly increase capacity region for the butterfly network and multi-terminal source coding. Distributed source coding with network coding – Effros Classical example of source networks extended with network coding
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Finite-State Broadcast Channel
Recent Thrust Achievements: Feedback, channel memory, and dynamics Network coding with feedback Indecomposable finite state channel with Feedback -- Goldsmith Appropriate model of dynamics; Tx-Rx synchronization to achieve the maximum over all channel states; Generalization to finite state broadcast channels (FSBC) - Goldsmith Superposition codetree at the encoder; User cooperation included; DMDT for multi-hop MIMO Relay Network - Goldsmith Diversity-Multiplexing-Delay tradeoff; Optimal ARQ protocol: fractional variable ARQ; Control principles for feedback channels -- Coleman Feedback channel as a control problem; Low complexity iterative encoder to achieve capacity Finite-State Broadcast Channel Rx1 Xi Rx2 Yi-1 Zi p(yi,zi,si|xi,si-1) Si-1 Si D Zi-1 Yi
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Recent Thrust Achievements: Towards Larger Networks
Interference Mitigating Mobility Strategies – Moulin Using mobility to actively avoid interference to others; Optimal mobility strategy to dynamically enlarge capacity region. Scaling law for heterogeneous large networks – Shah Tree networks for hierarchical cooperative relay; Arbitrary traffic/ node placement. Networks with Side Information – Effros Distributed source coding joint with network coding; Successive refinement for source / side information for multiple sinks. Graphical scheduling -- Medard & Koetter Hyper graph to describe conflicts; Distributed algorithms for hyperarc scheduling.
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Thrust Synergies Thrust 1 Thrust 2 Thrust 3
New Paradigm of outer bounds Provide building blocks for large networks, translate design constraints into network modeling assumptions Performance benchmark and design justification UEP: bit-wise. vs message-wise -- Zheng Network equivalence –Effros, Medard &Koetter Thrust 2 Dynamic Network Information theory: improving performance in presence of interference, cooperation, and dynamic environment Provide achievable performance region, based on which distributed algorithms and resource allocation over large networks are designed Guide problem formulation by identifying application constraints and relevant performance metrics Network scalability, robust and distributed algorithms Cooperative models for wireless NUM – Boyd & Goldsmith Thrust 3 Application Metrics and Network Performance
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Thrust 2 Achievements: Previous
Dynamic Network Information Theory Goldsmith: general relaying, soft combining Goldsmith: Cognitive users and interference Zheng: Embedded Coding and UEP Moulin: Information flow via timing Goldsmith: Broadcasting with layered code Coleman: Joint Source/Channel Coding in Networks Effros, Goldsmith: Generalized capacity, distortion, and joint source/channel coding. Zheng: Euclidean Information Theory Goldsmith: Degraded FS Broadcast Channels Moulin: Universal Decoding in MANETs Goldsmith: Feedback and Directed Information Coleman: Rate Distortion of Poisson Processes Moulin: Error/erasure tradeoff for compound channel Goldsmith: DMT for multi-hop networks Coleman: “E-type” broadcasting channels Zheng: Message embedding in feedback channels Medard, Zheng: Diversity-distortion tradeoff Goldsmith: Interference forwarding CSI, feedback, and robustness Structured coding
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Thrust 2 Achievements: Recent
Dynamic Network Information Theory Systematic study of cooperative and cognitive communications, and interference management, with well defined metrics, and a set of novel signaling concepts Model and characterize the effect of dynamics, in the context of feedbacks and network coding, with limited reliability and precision Efficient coding with heterogeneous data, new interface to the physical layer, unified view of overhead costs Large Networks Goldsmith: cognitive interference/Z channel Goldsmith: Interference Forwarding Goldsmith: MIMO cognitive network Goldsmith: Finite State (BC) channels with Feedback Medard, Zheng: Diversity-distortion tradeoff Zheng: UEP and applications Effros: Network coding and distributed Source coding Medard: Network coding with FB in TDD Effros: Contents Feedback for Network Coding Zheng: Message-wise UEP and Feedbacks Coleman: Control Principle for feedback designs Moulin: Mobility to mitigate interference Shah: Scaling of heterogeneous networks Medard Koetter: Hypergraph scheduling CSI, feedback, and robustness Structured coding
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Thrust Alignment with Phase 2 Goals
Evolve results in all thrust areas to examine more complex models, robustness/security, more challenging dynamics, and larger networks. Network coding for classical distributed source coding problem; Impact of dynamics for feedback (BC) channels; Multiple cooperative/cognitive scenarios; Network coding with feedback; Demonstrate synergies between thrust areas Research clustering within the thrust: Dynamic channel models with novel multi-user signaling; Network coding used for distributed source coding; Synergies between thrusts: Distributed algorithms for scheduling in networks Models for wireless NUM with interference and dynamics (focus talk. Boyd & Goldsmith) Network coding capacity with selfish users (focus talk, Effros) Demonstrate that key synergies between information theory, network theory, and optimization/control lead to at least an order of magnitude performance gain for key metrics. Gains by modeling dynamics, allowing cooperative/cognitive transmissions, and utilizing feedbacks; Gains by novel signaling (interference forwarding and message embedding)
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