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We consider the problem of determining the tradeoff between the rate and the block-length of polar codes for a given block error probability when we use the successive cancellation decoder. We take the sum of the Bhattacharyya parameters as a proxy for the block error probability, and show that there exists a universal parameter μ such that for any binary memoryless symmetric channel W with capacity I(W), reliable communication requires rates that satisfy R
Andreas Peter Burg, Yifei Shen, Yuqing Ren, Hassan Harb
Mario Paolone, Vladimir Sovljanski