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Improving data transmission over wireless channels has been the main obsession for many researchers for years. In this paper, we give a clear study of polar codes and channel polarization which produces these codes. Moreover extracting polar codes in three commom channels are studied. These channels are Binary Erasure Channel (BEC), Binary Symmetric Channel (BSC) and Additive White Gaussian Noise (AWGN) channel. Decoding information via polar codes is done by many methods, however we give details about four common methods. Comparing between these methods is done according to system’s complexity, Block Error Rate (BLER). Since Shannon has discovered his theorem of information transmission, a lot of work has been done to attain his limit nevertheless no one has succeeded. Polar codes are the first provably codes that arrive to near Shannon’s limits of capacity therefore they have most of researchers’ interest to be studied in 5G systems.  As 5G systems require significant improvements in channel capacity, polar codes are promising technique that have ability to offer required improvements. In this study, we give details about trial system of 5G encider and decoder with polar codes.