~/talk

Are Polar Codes Practical?

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Successive cancellation decoding is serial and looks like N log N work but schedules down to about N and then to a small constant number of PEs, so hardware is practical. A 1,024‑bit, rate‑1/2 ASIC hits about 50 Mbps ASIC (mostly memory), an FPGA semi‑parallel design reaches ~1 Gbps FPGA for 32K codes, and an unrolled pipelined design reaches ~118 Gbps pipeline (237 Gbps coded). CRC‑aided list decoding (L=64) matches LDPC FER; a Fast‑SSC then list fallback keeps throughput high while improving finite‑length performance.

AI-written summary · about

  1. 0:00Intro
  2. 0:41Achieving the Channel Capacity
  3. 1:39Channel Polarization
  4. 3:35Successive Cancellation Decoding
  5. 6:08Semi-Parallel SC Decoder Implementation
  6. 9:02FPGA Implementation
  7. 10:34Throughput of SC Decoders
  8. 11:23Successive Cancellation Tree
  9. 13:34Simplified Successive-Cancellation Decoding
  10. 15:37Fast-SSC Decoding-New Nodes
  11. 16:05SSC and Fast-SSC Trees—256, 230
  12. 17:46Fast-SSC Decoder Implementation
  13. 18:27Throughput of Hardware Decoders
  14. 19:54The Unrolled Decoder Implementation
  15. 21:09SDR and Modern Software ECC
  16. 22:40Fixed-Point Software Polar Decoders
  17. 23:31Improving Finite-Length Error-Correction Performance
  18. 23:48List Decoding
  19. 24:23ASIC Implementation
  20. 24:46Two-Step SW List Decoder
  21. 26:51Conclusion
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