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Communication Systems Engineering Episode 1 Part 9

Tham khảo tài liệu 'communication systems engineering episode 1 part 9', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 16.36 Communication Systems Engineering Lectures 12 13 Channel Capacity and Coding Eytan Modiano Eytan Modiano Slide 1 Channel Coding When transmitting over a noisy channel some of the bits are received with errors Example Binary Symmetric Channel BSC 1-Pe 0 . e__ 0 Cje 1 1-Pe 1 Pe Probability of error Q How can these errors be removed A Coding the addition of redundant bits that help us determine what was sent with greater accuracy Eytan Modiano Slide 2 Example Repetition code Code 000.0 11.1 Repeat each bit n times n-odd Input 0 1 Decoder If received sequence contains n 2 or more 1 s decode as a 1 and 0 otherwise - Max likelihood decoding P error 1 sent P error 0 sent P more than n 2 bit errors occur n cn . X 7 Pe 1 - Pe n - i r n 21V i 7 Eytan Modiano Slide