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arxiv: 0907.3291 · v1 · submitted 2009-07-19 · 💻 cs.IT · math.IT

The Compound Capacity of Polar Codes

classification 💻 cs.IT math.IT
keywords capacitycompoundcodesdecodingpolarsuccessiveunderbinary-input
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We consider the compound capacity of polar codes under successive cancellation decoding for a collection of binary-input memoryless output-symmetric channels. By deriving a sequence of upper and lower bounds, we show that in general the compound capacity under successive decoding is strictly smaller than the unrestricted compound capacity.

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