Asymptotic Throughput of Luby Transform Codes Over the Binary Erasure Channel

Abstract

In this paper we consider the Luby Transform Codes(LT Codes) over the binary erasure channel(BEC). We derive the expression of asymptotic throughput and the length of source where the expression applies to is also proposed, which provides a new basis for the evaluation and optimization of its performance. Simulations confirm the theoretical claims and also indicate that there is a best length of source to each distribution, by which, we can get the largest throughput to this distribution.