Coding-gain Analysis of Repetition Code Consider the case of a repetition code, such that codewords are...

  

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• Coding-gain Analysis of Repetition Code Consider the case of a repetition code, such that codewords are in the form: (0.48) Let the constellation SR be such that the average symbol energy is unitary, and the transmission rate is 2 bits per symbol. Thus SR= S 0 c- [89] C= = 0 S = C 语言言} √5' √5' √5' √5 Homework 24: Justify the constellation given in equation (0.49). Hint: What is the energy of a constellation? What is the relationship between its cardinality and the number of bits per symbol? The corresponding codebook is (0.49) 0 7 0 = ·{[** _ ] [¯* *] [***] [** ☆]} √5 (0.50) • Coding-gain Analysis of Repetition Code Consider the case of a repetition code, such that codewords are in the form: (0.48) Let the constellation SR be such that the average symbol energy is unitary, and the transmission rate is 2 bits per symbol. Thus SR= S 0 c- [89] C= = 0 S = C 语言言} √5' √5' √5' √5 Homework 24: Justify the constellation given in equation (0.49). Hint: What is the energy of a constellation? What is the relationship between its cardinality and the number of bits per symbol? The corresponding codebook is (0.49) 0 7 0 = ·{[** _ ] [¯* *] [***] [** ☆]} √5 (0.50)