py-polar-codes 1.1.0

A package for polar codes in Python.

Polar Codes in Python

A library written in Python3 for Polar Codes, a capacity-achieving channel coding technique used in 5G. The library includes functions for construction, encoding, decoding, and simulation of polar codes. In addition, it supports puncturing and shortening.

It provides:

• non-systemic encoder and Successive Cancellation Decoder (SCD) for polar codes.
• mothercode construction of polar codes using Bhattacharyya Bounds or Gaussian Approximation
• support for puncturing and shortening.
• Bit-Reversal Shortening (BRS), Wang-Liu Shortening (WLS), and Bioglio-Gabry-Land (BGL) shortening constructions.
• an AWGN channel with BPSK modulation.

Documentation:

• Main reference (pdf)
• Quick reference (website)

A YouTube video with an introduction to polar codes, shortening, and the library:

Getting Started

1. Install the package with pip install py-polar-codes.
2. Install matplotlib from https://mipatplotlib.org/users/installing.html.
3. Install numpy from https://docs.scipy.org/doc/numpy/user/install.html.
4. Run test.py using a Python3 compiler. If the program runs successfully, the library is ready to use. Make sure the compiler has writing access to directory "root/data", where simulation data will be saved by default.
5. Run main.py to start the GUI.

Examples

Mothercode Encoding & Decoding

An example of encoding and decoding over an AWGN channel for a (256,100) mothercode, using Bhattacharyya Bounds and SCD.

   import numpy as np
   from polarcodes import *

    # initialise polar code
    myPC = PolarCode(256, 100)
    myPC.construction_type = 'bb'
    
    # mothercode construction
    design_SNR  = 5.0
    Construct(myPC, design_SNR)
    print(myPC, "\n\n")
    
    # set message
    my_message = np.random.randint(2, size=myPC.K)
    myPC.set_message(my_message)
    print("The message is:", my_message)
    
    # encode message
    Encode(myPC)
    print("The coded message is:", myPC.x)
    
    # transmit the codeword
    AWGN(myPC, design_SNR)
    print("The log-likelihoods are:", myPC.likelihoods)
    
    # decode the received codeword
    Decode(myPC)
    print("The decoded message is:", myPC.message_received)

Shortened Code Construction

An example of constructing a shortened polar code with Bit-Reversal Shortening (BRS) algorithm.

   import numpy as np
   from polarcodes import *

    # initialise shortened polar code
    shorten_params = ('shorten', 'brs', None, None, False)
    myPC = PolarCode(200, 100)
    
    # construction
    design_SNR  = 5.0
    Shorten(myPC, design_SNR)
    print(myPC, "\n\n")

Simulation & Plotting

A script to simulate a defined polar code, save the data to a JSON file in directory "/data", and then display the result in a matplotlib figure.

    # simulate polar code 
    myPC.simulate('data/pc_sim')
    myPC.simulate(save_to='data/pc_sim', Eb_No_vec=np.arange(1,5), design_SNR=5.0, manual_const_flag=True)
    
    # plot the frame error rate
    myPC.plot(['pc_sim'], 'data/')

The simulation will save your Polar Code object in a JSON file, for example:

{
    "N": 64,
    "n": 6,
    "K": 32,
    "frozen": [
        22,
        38,
        49,
        26,
        42,
        3,
        28,
        50,
        5,
        44,
        9,
        52,
        6,
        17,
        10,
        33,
        56,
        18,
        12,
        34,
        20,
        36,
        1,
        24,
        40,
        48,
        2,
        4,
        8,
        16,
        32,
        0
    ],
    "construction_type": "bb",
    "punct_flag": false,
    "punct_type": "",
    "punct_set": [],
    "source_set": [],
    "punct_algorithm": "",
    "update_frozen_flag": [],
    "BER": [
        0.09709375,
        0.03740625,
        0.00815625,
        0.0010184612211221122
    ],
    "FER": [
        0.313,
        0.126,
        0.03,
        0.004125412541254125
    ],
    "SNR": [
        1,
        2,
        3,
        4
    ]
}

This is a final year project created by Brendon McBain under the supervision of Harish Vangala at Monash University.