Existence Proofs of Some EXIT Like Functions - Computer Science Information TheoryReport as inadecuate




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Abstract: The Extended BP EBP Generalized EXIT GEXIT function introduced in\cite{MMRU05} plays a fundamental role in the asymptotic analysis of sparsegraph codes. For transmission over the binary erasure channel BEC theanalytic properties of the EBP GEXIT function are relatively simple and wellunderstood. The general case is much harder and even the existence of the curveis not known in general. We introduce some tools from non-linear analysis whichcan be useful to prove the existence of EXIT like curves in some cases. Themain tool is the Krasnoselskii-Rabinowitz KR bifurcation theorem.



Author: Vishwambhar Rathi, Ruediger Urbanke

Source: https://arxiv.org/







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