Description
Book SynopsisTransmitting information enables technical applications modern societies are built on. This thesis focuses on channel coding, a fundamental building block of communications systems that transmit information using noisy channels. In his seminal work presented in 1948, Shannon laid ground for the mathematical theory of information and its transmission. Formalizing the notion of a noisy channel as a statistical model, Shannon establishes the maximum rate at which information may be transmitted. This upper bound, referred to as the channel's capacity, is strict. At rates below the capacity of a given channel, information may be transmitted and recovered at the receiver, while there is no hope for doing so without a positive error probability at rates exceeding that capacity. To protect against transmission errors, channel codes add redundancy to the information, which supports a channel decoder located at the receiver in recovering the information. The field of channel coding is concern