Kutuplaşma kodlarının evrişimli turbo kodlar ile başarım karşılaştırması

Polar codes introduced recently by Arıkan are the first low-complexitycodes achieving symmetric capacity for arbitrary binary-input discretememoryless channels (B-DMCs). Although being theoreticallysignificant, their practical significance is an issue that has not yetbeen fully explored. Previous studies have compared polar codes withReed-Muller codes, where it was found that polar codes can outperformthem. In this thesis, to investigate how polar codes perform againststate-of-the-art forward error correction (FEC) codes used inpractice, we implement a IEEE 802.16 based link-level WorldwideInteroperability for Microwave Access (WiMAX) simulator whichincorporates several WiMAX FEC options, and polar codes. IEEE 802.16standards family define standards for current and next generationbroadband wireless access, which will make high data rate multimediaapplications in mobile environments a reality. Next generationbroadband access standard, pursued by the IEEE 802.16 Task Group m isa work in progress, and requires even more sophisticated errorcorrection schemes so that higher throughput, better QOS, highermobilities, wider ranges and lower latencies are supported. We performperformance comparison simulations with the convolutional turbo codes(CTC) configurations defined in IEEE 802.16e to see how much of aperformance gap exists between polar codes and CTCs. The main findingsof the thesis are that, although the polar codes achieve capacity forspecific conditions, as expected, for the code lengths and channelconditions we have simulated, the performance of them cannot competewith that of the CTCs with equivalent rates and lengths. It remains atask to see whether polar codes can achieve similar performances withCTCs when used as component codes in other configurations and aid inthe advancement of new communication technologies.