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VariableLength CodesHuffman Codes
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arbitrarily ASCII average code length average length bandwidth binary digits binary symmetric channel bound channel capacity Chapter code symbols code word length coefficients column conditional entropy conditional probabilities consider corresponding decoding tree definition double error encoded message entropy function equal equation error detection error-correcting code exactly example Exercises Figure follows frequency given gives Gray code Hamming code hash Huffman code information theory input symbols instantaneous code integral joint entropy Kraft inequality log term log2 Markov process mathematical matrix maximum means message positions minimum distance modulus polynomial mutual information notation nth extension number of l's occurs octal original output symbol p(bj parity check possible prime polynomial prob probability distribution radix received symbols receiving end remainder result Section sent sequence Shannon-Fano coding Shannon's theorem signaling system simple source alphabet source symbols sphere storage Suppose syndrome tion transmission uniquely decodable variable white noise zero