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On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Dennis Ogbe, Chih-Chun Wang, David J. Love School of Electrical and Computer Engineering Purdue University West Lafayette, Indiana, USA International Symposium on


  1. On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Dennis Ogbe, Chih-Chun Wang, David J. Love School of Electrical and Computer Engineering Purdue University West Lafayette, Indiana, USA International Symposium on Information Theory Paris, France, July 12, 2019 This work was supported in parts by the National Science Foundation under Grant CCF-1422997, Grant ECCS-1407604, Grant CCF-1618475, and Grant CCF-1816013.

  2. Overview ◮ Part 1: Motivation & Intuition Motivation A new metric for multi-hop relay channels: The Delay Amplification Factor Preview of main results ◮ Part 2: Main Results (Necessary) details of problem set-up Main results & proof sketches Work in progress & Conclusion Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

  3. Overview ◮ Part 1: Motivation & Intuition Motivation A new metric for multi-hop relay channels: The Delay Amplification Factor Preview of main results ◮ Part 2: Main Results (Necessary) details of problem set-up Main results & proof sketches Work in progress & Conclusion Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

  4. Motivation Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory 1 On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

  5. Motivation Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Autonomous IoT MTC driving Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory 1 On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

  6. Motivation Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Autonomous IoT MTC driving IMT-2020 URLLC: ≤ 1 ms delay Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory 1 On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

  7. Motivation Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Small cells Autonomous Integrated access & IoT MTC driving backhaul IMT-2020 URLLC: ≤ 1 ms delay Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory 1 On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

  8. Motivation Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Small cells Autonomous Integrated access & IoT MTC driving backhaul Lots of relay channels For IT: IMT-2020 URLLC: ≤ 1 ms delay Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory 1 On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

  9. Motivation Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Small cells Autonomous Integrated access & IoT MTC driving backhaul Lots of relay channels For IT: IMT-2020 URLLC: ≤ 1 ms delay ◮ Recent technologies ⇒ renewed interest in delay-throughput tradeoff of relay channels Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory 1 On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

  10. Motivation Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Low latency communications Low latency communications Low latency communications Low latency communications Low latency communications Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Flexible/dense network architectures Small cells Autonomous Integrated access & IoT MTC driving backhaul Lots of relay channels For IT: IMT-2020 URLLC: ≤ 1 ms delay ◮ Recent technologies ⇒ renewed interest in delay-throughput tradeoff of relay channels ◮ Interesting from practical perspective: Separated relay channel over multiple hops r r L s s r s r 1 r 2 d d · · · d 1 − general separated separated multi-hop Dennis Ogbe, Chih-Chun Wang, David J. Love International Symposium on Information Theory 1 On the Optimal Delay Amplification Factor of Multi-Hop Relay Channels Paris, France, July 12, 2019

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