Abstract
Polar codes are usually constructed to minimize the upper bound of a block error ratio (BLER). In this paper, we discuss the estimation of the exact BLERs of polar codes as well as the construction of polar codes. Assuming that successive cancellation (SC) decoding is employed, we present a method for estimating the exact BLER of polar codes with the help of Gaussian approximation (GA). A new approach is proposed to construct polar codes over different channels (Awgn and Rayleigh+) with short message transmission scheme , aimed at minimizing the exact BLER, instead of the upper bound of the BLER. Analysis indicates that the new approach less complex than the existing methods. It is also shown that the proposed scheme is outperforms than conventional methods and are visualized in simulation results.
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