Investigation on Ber Sensitivity to Design Snr of Bhattacharrya Bounds Based Construction of Polar Codes

Advanced coding has been widely used to accomplish the high-performance requirements of wireless communications. While adhering to the perspective on energy-spectral efficiency, channel coding is still promising. To deal with such challenge, research initiatives on the linear block error correcting codes have gained accelerating momentum. In this paper we introduce polar codes which have proven to meet the typical use cases of the next generation mobile standard. Such work is motivated by the suitability of polar codes for the coming wireless era. Hence, we investigate the performance of polar codes in terms of bit error rate (BER) for several codeword lengths and code rates. We first perform a discrete search to find the best design signal to noise ratio (SNR) at two different code rates, while varying the blocklength. We find in our extensive simulations that the BER becomes more sensitive to design SNR as long as we increase the blocklength and code rate. Finally, we note that increasing blocklength achieves an SNR gain, while increasing code rate changes the operational SNR domain. This trade-off sorted out must be taken into consideration while designing polar codes for high-throughput application.