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channels are randomly selected without reliability, it will lead to(　　)sharp deterioration of the BER (BER), and the polar code will degenerate into an ordinary random code. Figure 16 5-2 The difference between theoretical and actual BERs

We observed that the actual BER is about ten times the theoretical BER. 5-3 Operational performance 5-4 BER Curv(　　)

31(11):51-54.DO=:10.14022/j.issn1674-6236.2023.11.011.陈小龙, 极化码的编译码算法研究及 FPGA实现, 2023, 西安电子科技大学 . [2] 朱有为.正确运用 matlab数字水印技术实现图像版权保护 (　　).计算机光盘软件与应用, 2013(1):2.DO=:CNK=:SUN:GPRH.0.2013-01-047. [3] Cover T M, Thomas H A. Elements of =nformation Theory. New York: Hohn Wiley & Sons, 1991 [4] Proakis, H. G. (2001). *Digital communications* (4th ed.). McGraw-:ill. [5] Microchip Technology, "ATmega48A/PA/88A/PA/168A/PA/328/P Datasheet Complete," 47137D3C1D2752D1.jpg. [Accessed: May 15, 2024]

May 2025 1-1 The background to the project .................................................................... 11 1-2 The aims of the project. ............................................................................... 11 1-3(　　)brief overview ........................................................................................... 12 1-4 Project plan .................................................................................................. 14 2-1(　　)Channel ................................................................................................. 15 2-2 Principle of channel polarization ................................................................. 16 2-3 Frozen bits determination ........................................................................... 17 2-4 Polar codes encoding ................................................................................... 17 2-5 Polar codes decoding: SC algorithm ............................................................ 18 3-1 Using SC to determine information and frozen bits .................................... 20 3-2 Encoding of polar codes .............................................................................. 22 3-3 Decoding of polar codes .............................................................................. 23 3-4 The relation between BER and erasure probability ..................................... 23 3-5 Chapter conclusion ...................................................................................... 27 4-1 =ntroduction to Arduino ............................................................................... 29 4-2 Advantages and disadvantages of Arduino.................................................. 30 4-3 What can = do next ....................................................................................... 30 4-4(　　)in Arduino ............................................................................................. 31 4-5 Frozen bits in Arduino .................................................................................. 31 4-6 Generate matrix ........................................................................................... 32 4-7 Encoding Simulation Arduino ...................................................................... 33 4-8 Decoding in Arduino .................................................................................... 34 4-9 Simulation Method ...................................................................................... 35 5-1 The necessity of channel selection .............................................................. 36 5-2 The difference between theoretical and actual BERs .................................. 37 5-3 Operational performance ............................................................................ 38 5-4 BER Curve .................................................................................................... 39 6-1 The Decisive Role of Channel Selection in the Performance of polar codes 40 6-2 The gap between theoretical and actual BER under finite code length ...... 40 6-3 Trade-off between :ardware =mplementation and Simulation Efficiency .. 41 6-4 Validity verified by Experiments .................................................................. 41 6-5 Future Work ................................................................................................. 41 1-1 The background to the project 1-2 The aims of the project. 1-3(　　)brief overview 1-4 Project plan 2025/1/6-2025/1/27 2025/2/7-2025/3/2 2025/3/3-2025/4/14 2025/4/15-2025/5/5 2-1(　　)Channel 2-2 Principle of channel polarization 2=[ 10 11 2 2-3 Frozen bits determination (2−5) 2-4 Polar codes encoding 2-5 Polar codes decoding: SC algorithm 3-1 Using SC to determine information and frozen bits 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 2

31, 32 channels have the lowest erasure probability, so they can(　　)used to transmit information bits. 3-2 Encoding of polar codes 10 11 2 (3−1) 16x32 3-3 Decoding of polar codes 3-4 The relation between BER and erasure probability 5 (3−4)

=t can(　　)seen from the new graph that the error of the first time is indeed relatively large. 6%. 3-5 Chapter conclusion 4-1 =ntroduction to Arduino 4-2 Advantages and disadvantages of Arduino 4-3 What can = do next 4-4(　　)in Arduino 4-5 Frozen bits in Arduino

bytes. 4-6 Generate matrix =n the process of implementing the polar code encoder on the Arduino platform, we 4-7 Encoding Simulation Arduino 4-8 Decoding in Arduino 4-9 Simulation Method 5-1 The necessity of channel selection

1%, and the maximum deviation does not exceed 0.5%. This consistency verifies the rationality of the experimental scheme design, and at the same time indicates that both the 6-1 The Decisive Role of Channel Selection in the Performance of polar codes 6-2 The gap between theoretical and actual BER under finite code length 6-3 Trade-off between :ardware =mplementation and Simulation Efficiency

times. The reasons include: System resource occupation: The operating system, background processes, etc. 6-4 Validity verified by Experiments 6-5 Future Work

DO=:10.1109/=S=T.2008.4595172.

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