Abstract

Nested Tail-Biting Convolutional Codes Construction for Short Packet Communications

Highlights

  • In 5G system, channel coding technology is divided into three scenarios: EMBB, MMTC and URLLC [1]

  • frame error rate (FER) performance of nested RC-Tail-biting convolutional codes (TBCCs) and LTE-RCTBCCs with code rates of 1/4, 1/6 and 1/7 were simulated over a range of Eb/N0 ranging from 0.5 dB to 5 dB, as shown in Fig. 5, Fig. 6, and Fig. 7

  • As we can see from these figures, the proposed nested rate-compatible TBCC (RC-TBCC) have about 0.22 dB coding gain over LTE-RC-TBCCs at FER = 10–5 for code rate 1/4

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Summary

Introduction

In 5G system, channel coding technology is divided into three scenarios: EMBB, MMTC and URLLC [1]. It is of great interest to design RC-TBCCs with consistent good performance for variable rates This can be achieved by constructing the low-rate codes through appending incremental bits to highrate codes, namely, by nesting the code [13]. Reference [14] proposed an algorithm to construct nested RC-TBCCs which have consistently good FER performance for all information lengths and all compatible rates. It did not consider the RC-TBCCs with fixed information length. A group of nested RC-TBCCs is designed, which have consistently good performance for fixed information length at various code rates. Case (iii): Trellis path that has never touched the allzero path

Minimum Distance Properties and Performance Bounds of TBCCs
The Minimum Distance of TBCCs
The Performance Bounds of TBCCs
Construction of Nested RC-TBCCs
Nested RC-TBCCs
The Search Algorithm of Nested RCTBCCs
9: Save the TBCCs with minimized d min divergence:
Optimized Generation Polynomial of Nested RC-TBCCs
Decoder of Nested RC-TBCCs
The Simulation Results
Conclusion
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