… polar codes under successive cancellation (SC) decoding. Furthermore, we analyze the
coding structure of polar codes … identities to efficiently calculate the polar spectrum. In the end, …

… polar codes: the construction of polar codes and … polar decoder. We provide numerical
evidence as well as some mathematical analysis to show that the performance of polar codes are …

… related to polar codes. First is the problem of polar codes construction and analysis of their
… Finally, in section VI we introduce a class of concatenated codes based on polar codes and …

… polar codes from a practi- … polar codes and rate-compatible polar codes. First, we propose
a concatenation scheme including polar codes and Low-Density Parity-Check (LDPC) codes. …

… of the code. We show that polar codes are suitable not only for channel coding but also …
We construct polar codes that asymptotically approach Shannon’s rate-distortion bound for …

… code with inner polar codes [9]–[11], or employing a serial concatenation of an error detecting
or error correcting code and a polar code [2]… of the outer codes affect the minimum distance …

… polar code in the binary crasure channel. And we also make a comparison between systematic
polar code and nonsystematic polar code. … polar code and non-systematic polar code. AS …

… , proposed by Arıkan [1], is a significant breakthrough in coding theory. Polar codes are …
In [1], polar codes are constructed using Bhattacharyya parameter and are decoded using …

… of exact BLER of polar codes as well as the construction of polar codes. … polar codes with
the help of Gaussian approximation(GA). A new algorithm is proposed to construct polar codes, …

… POLAR CODES In this section we briefly review polar codes with the primary aim of setting
up the relevant notation. We also indicate where the difficulty of constructing polar codes lies. …