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Abstract It introduces polar codes noting their importance, illustrates the motivation and objectives of performance enhancement of DVB systems using polar codes presented in this thesis. The chapter ends with a brief summary of the thesis organization. Chapter 2: It presents an overview about channel coding and linear block codes with a complete overview on currently most used channel coding techniques and illustrates error correction coding techniques used in DVB systems like BCH and LDPC codes including their encoding and decoding procedures. Chapter 3: It focuses on polar codes and gives a literature review about it and briefly presents its construction, encoding, decoding, and some related preliminaries. We propose a new mathematical relation to get the optimized design point for the polar code construction. Also, it presents iii Summary polar code construction, which depends on two main foundation criteria which are kernel matrix and Bhattacharyya parameter related to each other; therefore the selection method for both should optimize the polar code’s performance. Firstly, derivation of the expressions of the Bhattacharyya parameter bounds is proved and a method to select between different kernel matrices to achieve optimum capacity is introduced. Then, it presents the decoding method for the selected 3 3 kernel matrix including the proof of recursive channel transformations for this matrix. Moreover, it shows a detailed discussion about the polar code complexity. Finally, the simulation results are presented to confirm the results of the selection methodology. Chapter 4: It proposes a generalized schematic successive cancellation decoding for polar codes. Our proposed method fragments the main block into some basic components whose formulas have been previously proven by Arikan for 2 2 kernel matrix. The validity of the resulting LLR functions is tested on different kernel matrices and proven to be similar to those in literature. Finally, it presents the simulation results using Cyclic redundancy check Aided - Successive Cancellation List (CA-SCL) decoding and compare the generalized polar codes with punctured polar codes. Chapter 5: It presents an overview for the simulation system model for simulation measurements including the simulation results for optimized design point of polar codes followed by the comparison between LDPC and optimized polar codes. Then, it presents an overview for DVB standards and proposes polar codes to be utilized in DVB systems iv Summary by describing the proposed functional block that are changed to enhance the performance of DVB systems. Moreover, the optimized polar codes are compared with LDPC and BCH codes of DVB systems in terms of BER, latency, throughput and proved that it can be proposed as a FEC coding technique instead of LDPC and BCH codes in wireless communication systems such as DVB systems. Finally, it compares the complexity of polar code with (LDPC + BCH) codes. Chapter 6: It shows the main thesis conclusions and ends with suggestions for future work. |